Thank you sm for your helpfulness and support! This helped me a lot because math isn’t my strong suit when it comes to school, but you’ve helped change that; So thank you! 💙
I'm so glad I've been able to help and it's AMAZING to hear that you're doing better with math! I've struggled with certain topics in the past too so I know how great of a feeling it is when the 💡 finally goes off and I hope you continue to experience that. I'm always here if you have questions and good luck with the rest of your studies! 😃
Theres no exponent on the 3 so you're not really multiplying exponents for 3 x 4³. You just need to use the order of operations (PEMDAS) in that case. Simplify Exponents first, then Multiply last: 3 x 4³ = 3 x 64 = 192 👍
You just want to find a way to have matching exponents or bases. Here we can match exponents. We can break 5⁵ into 5² x 5³ so then we have: 3² x 5² x 5³ 3² and 5² have the same exponent now so we can combine those: 3² x 5² = (3x5)² = 15² And remember we still have the 5³ at the end so all together it'd be: 15² x 5³ Now Simplify: 15² x 5³ = 225 x 125 = 28,125 👍
Hi! I have a whole exponent playlist that I think will help: ruclips.net/p/PLDjbtPQgeD_-QAI-LpbHjpBfPDMxyr5Is If you still need help with something more specific just let me know 👍
On the last example I went (7^1/2)^4 x 3^4 resolving to ( 3 sqrt 7)^4. Ending value is the same as the way you demonstrated, but is my way considered less correct? Less simplified? Mere closet nerd nonsense? 😊
LOL no that's not 'less correct', that is certainly 'a' correct answer. The only issue you might run into is if you were asked to simplify it further, but as long as you know how to do that, then you should be fine. (3√7)⁴ = 3⁴ x (√7)⁴ = 3⁴ x 7² = 81 x 49 = 3,969 So you definitely still get the same answer, but I would avoid the radicals if possible just because it creates an extra step (in this example anyways), but the most important thing to understand is you can break up the exponents in different ways, which it definitely seems like you do so great job! 😄
@@Eat_Pi I seem to take more interest in "the path less traveled by". Thank you for cautioning that there is most likely a reason for the overgrowth. LOL
@jonwill I think that's a good thing! The more math you do, the more you realize there's countless ways to find the same answer/solution. Some paths are definitely more efficient than others (which is helpful for a test or exam), but you should be good either way as long as you're following the proper steps! 👍
Thanks for the question! First, you can rewrite the bases so they match each other: 9 = 3^2 27 = 3^3 So: 9^-8 can be rewritten as (3^2)^-8 27^-2 can be rewritten as (3^3)^-2 How do u raise a power to a power? Just multiply them together: (3^2)^-8 = 3^-16 (3^3)^-2 = 3^-6 So we're left with 3^-16 * 3^-6...... Since we have the same bases (3) we keep it. All we have to do is add the exponents together: 3^-16 * 3^-6 = 3^ (-6+-16) = 3^-22 So 3^-22 would be your answer. Or if you want to rewrite it with a positive exponent, it'd be 1/(3^22) Hope that helps! 👍
Match the exponent or the bases. Here we can math the exponents. 7⁶ = (7³)² = (343)² Why did I rewrite it like that? Because now it has the same exponent (²) as the other term 14² So 343² x 14² = (343x14)² = 4802² 👍
Thanks for the question! I figured it'd be easier to explain in a video, so here's a link: ruclips.net/video/VXoQRT_HdkE/видео.html Let me know if you have any more questions 👍
Solve the inner most parentheses first: ((((2)²)²)²)⁰ (2)² = 4, so we're left with: (((4)²)²)⁰ (4)² = 16, so we're left with: ((16)²)⁰ (256)⁰ = 1 One way you think about it: In order to Raise a power to a power, you need multiply all the exponents together: 2x2x2x0 = 0, so the exponent is 0 Lastly, any number Raised to the 0 power = 1, so that's why the answer is 1 👍
Hi thanks for the question! I figured it'd be easier to explain in a video, so here's a link: ruclips.net/video/kZKHvYAG2XI/видео.html Let me know if you still have any questions 👍
Yeah I went over some simpler examples to get the idea across but it would still work with larger numbers. Is there a specific problem you needed help with?
Sorry but I'm not sure what this problem is. If you're talking about factoring and writing your answer in exponential form, this should help: ruclips.net/video/wkrBtpmrQLM/видео.html
Hi, thanks for the question! I thought it would be easier to explain in a video, so here's a link: ruclips.net/video/eXBk8da6AXc/видео.html Please let me know if you still have any questions 👍
Great question! When you have numbers AND variables, those are called algebraic expressions. So what I think you're asking is how to multiply algebraic expressions. All you need to do is combine like terms. This video might help: ruclips.net/video/EsxmgRqZ6rQ/видео.html (and skip ahead to the 4 minute mark) We can break your problem down into 3 small steps: 1. Multiply all the numbers together 2. Multiply all the variables together 3. Combine it all together at the end Step 1) 4 * -3 = -12 Step 2) x^2 * x^(4/3) = x^(10/3) In case you're wondering how I got 10/3, remember we need to add the exponents: 2 + 4/3 = 6/3 + 4/3 = 10/3 Step 3) -12x^(10/3) Hope that helps!
You could match the bases because 3 fits into 9 evenly. You could rewrite 9 as 3² so the bases match up. 3³ • 9^(1/2) = 3³ ▪︎ (3²)^(1/2) To simplify a power raised to another power, just multiply the powers together. 2•(1/2) =1 so now we have: 3³ • 3¹ To multiply powers that have the same base, add the powers together: 3³▪︎3¹ = 3^(³+¹) = 3⁴ = 81 Hope that helps 👍
Hey there, can anyone help me with this one.... 3^5 x 5^3..... I am trying to simplify the expression but as you can see there is no way to have the same base or exponent?
Youre right, the bases are prime so you cant match those up. But you could match the exponents. It wouldn't necessarily simplify the problem much, but you could reduce the exponents a bit. For example, rewrite 3⁵ as 3² x 3³ Why? To match the exponent on 5³ 3⁵ x 5³ = 3² x 3³ x 5³ (now some exponents match, so combine them): 3² x (3x5)³ = 3² x 15³ Now rewrite the 15³ as 15² x 15 to match exponents with the 3²: 3² x 15³ = 3² x 15² x 15 (Combine same exponents again): (3x15)² x 15 = 45² x 15 That'd be the "simplified" answer: 45² x 15 Multiplied out: 45x45x15 = 30,375 Hope that helps, but let me know if you still have questions 👍
Rewrite 81 with an exponent: 81=9² So you can rewrite the problem as: 9² x 2² Since they now have the same exponent, just multiply the bases together and raise it all the to the same exponent: (9×2)² = 18² = 324 Hope that helps 👍
Great question! I figured it'd be easier to explain in a quick video, so here's a link: ruclips.net/user/shortsbDhJuZUwYUw Let me know if you still have any questions 👍
Depending on what the numbers are, you still might be able to match them up. But if you have a specific problem in mind, just let me know and I can help you out 👍
You can definitely use 3 also. Changing 81 to 9² was just easier because you only have to change one of the numbers instead of both that way. But if you changed them to 3's it'd be: (3²)^-5 • (3⁴)² And then you can still simplify it 👍
Break down the exponents so they can match somehow. In this case, you can rewrite each one to include a power of 2: 2^3 = 2^2 * 2^1 5^4 = 5^2 *5^2 Multiply it all out: 2^2 * 2^1 * 5^2 *5^2 Combine the numbers that have same exponent: = (2*5*5)^2 * 2^1 = (50)^2 * 2 = 2500 * 2 = 5000 Hope that helps!
Hey man, I just wanted to say thank you for putting out these videos. It's incredible to see someone teaching others for literally nothing.
Thank you very much that means a lot! I love to help people and provide opportunities that I didnt have growing up, and that makes it all worth it 🙏
U Gonna make it big one day
Your intro just boosts our confidence. Thank you for these awesome 10minute lifesavers👍🏼👍🏼
That means so much thank you! And I'm glad they're helpful 😄
Yo your litterally answering the hardest questions i didnt knew about THANKS FOR THIS AMAZING TUTOR
That's great to hear, I hope you learned something in that case! 😄👍
Nice good going good teaching method
Happy to help!
Thank you! I go to tutoring and i didnt understand much this topic. And now I know it thank you :)
That's great to hear! It's a tricky topic but very useful down the road. I'm glad it's making sense now :D
This is really helpful, got an exam on Monday and you just simplified it in minutes 😳🙏 Much appreciated
That's great to hear, best of luck you friggin genius, you got this 😎
@@Eat_Pi much appreciated 💪🔥
Bro I also have a test on Monday, on this topic 💀💀💀
Thank you so much.. I was so confused and you just helped out a lot!!
I'm so happy to hear that! And you're welcome :D
I was not able to solve physics numericals but your vdeo helped me with the calculation stuff..👀👍
That's great I'm happy I could help :D
THANKS SO MUCH U MADE ME PASS MY MATH EXAM ❤
That's so awesome to hear I'm so glad I could help!! :D
Thank you! It helped me so much in my tests
That's great to hear! :D
Thanks I needed to know how to multiply exponents that have different bases for a test.
Glad it was helpful, now go crush that test like a friggin genius 😎
Thankyou for the video, currently studying for my test next period and this helped me a lot!!
Happy to help, and goodluck on your test! :D
THANK YOU SO MUCH
YOU JUST SAVED ME FROM FAILING MY MOCK EXAM
YOU'RE SO WELCOME FOR SAVING YOU :D
Thank you sm for your helpfulness and support! This helped me a lot because math isn’t my strong suit when it comes to school, but you’ve helped change that; So thank you! 💙
I'm so glad I've been able to help and it's AMAZING to hear that you're doing better with math! I've struggled with certain topics in the past too so I know how great of a feeling it is when the 💡 finally goes off and I hope you continue to experience that. I'm always here if you have questions and good luck with the rest of your studies! 😃
Your videos are incredible, carrying me through high school m8
lmao glad to here it! 😂
this video is about a year old so i might be a bit late, but thanks so much this explained the concept to me much faster than school.
Math never goes out of date, so I'll be around trying to help for a long time lol
But that's great to hear! I'm glad it's making sense now :D
Excellent, excellent
Thanks, I'm glad it was helpful! 🙏
Please do multiplying different bases and different (exponents with variables)
Hi thanks for the request! Here's a link to a video that I think will help:
ruclips.net/video/EsxmgRqZ6rQ/видео.html
Thank u so much ur the best❤ u helped me a lot❤ ur the best math channel in youtube
Thank you, that's very nice of you to say! I'm glad you're finding the videos helpful :D
Mathe is confusing to me and you helped thanks 😅
Math*
Yes there's a lot of rules you have to remember along the way so it can definitely get confusing!
But you're welcome, I'm glad I could help! :D
True
Very well explained !!
Thank you, Im glad it was helpful!
Thank sir it was very helpful
You're most welcome!
My question is simplify the following expression and express as a single power
a:3^6^×9^4^
🙏🏼🙏🏼 hope solve this
You can rewrite 9 as 3² so that both numbers will have the same base:
(9)⁴ = (3²)⁴ = 3⁸
So now you have:
3⁶ x 3⁸ = 3¹⁴
Hope that helps! 👍
@Eat pi thanku very much that's helpfull🙏🏼
My question is, what if it's 3 x 4³ are you going to multiply the base then copy the exponent?
Theres no exponent on the 3 so you're not really multiplying exponents for 3 x 4³. You just need to use the order of operations (PEMDAS) in that case.
Simplify Exponents first, then Multiply last:
3 x 4³ = 3 x 64 = 192 👍
@@Eat_Pi Thank you. That really helped me
What if the problem is similar to 3^2 x 5^5? Both the exponents and bases have no common factors, what then?
You just want to find a way to have matching exponents or bases. Here we can match exponents. We can break 5⁵ into 5² x 5³ so then we have:
3² x 5² x 5³
3² and 5² have the same exponent now so we can combine those:
3² x 5² = (3x5)² = 15²
And remember we still have the 5³ at the end so all together it'd be:
15² x 5³
Now Simplify:
15² x 5³ = 225 x 125 = 28,125 👍
@@Eat_Pi woah! I was looking for the same thing.... Thanks for explaining it so clearly
@@pokebrawlergaming8520 absolutely, anytime! 😃
Thank you a lot for this video!
You're welcome, I'm glad I could help!
Thank you❤
You're welcome! :D
You are a genius
No way bro/brosefina... YOU are! 😄
Hello, can you please make a video on simplifying of exponents??
Hi! I have a whole exponent playlist that I think will help: ruclips.net/p/PLDjbtPQgeD_-QAI-LpbHjpBfPDMxyr5Is
If you still need help with something more specific just let me know 👍
Better than my teachet
lol I'm glad it makes sense now!
Wish you the best bro🤔🤔
Thank you soo much
No problem! 😃
Thank you
Happy to help!
Makes sense now tysm
@@Yaksh-i8s You're welcome! I'm glad it was helpful 😃
Thank you dude
Any time, happy to help!
Thanks so much!! this help so much lol
Im so happy to hear that! 😭
On the last example I went (7^1/2)^4 x 3^4 resolving to ( 3 sqrt 7)^4. Ending value is the same as the way you demonstrated, but is my way considered less correct? Less simplified? Mere closet nerd nonsense? 😊
LOL no that's not 'less correct', that is certainly 'a' correct answer. The only issue you might run into is if you were asked to simplify it further, but as long as you know how to do that, then you should be fine.
(3√7)⁴ = 3⁴ x (√7)⁴ = 3⁴ x 7² = 81 x 49 = 3,969
So you definitely still get the same answer, but I would avoid the radicals if possible just because it creates an extra step (in this example anyways), but the most important thing to understand is you can break up the exponents in different ways, which it definitely seems like you do so great job! 😄
@@Eat_Pi I seem to take more interest in "the path less traveled by". Thank you for cautioning that there is most likely a reason for the overgrowth. LOL
@jonwill I think that's a good thing! The more math you do, the more you realize there's countless ways to find the same answer/solution. Some paths are definitely more efficient than others (which is helpful for a test or exam), but you should be good either way as long as you're following the proper steps! 👍
thank you bro
I gotchu bro/brosefina 👌
Sir can you explain= 3^6 X 4^3 =
24^3
@@Ayu05
3⁶ x 4³
(3²)³ x 4³
9³ x 4³
(9x4)³ = 36³ = 46,656 👍
@@Eat_Pi thanks very much sir
@@Eat_Pisir one more 2^6 X 2^6 =
@@Ayu05 When you have the same base, just add the exponents:
2⁶ x 2⁶ = 2⁶+⁶ = 2¹² 👍
What if they are negative and different like(9^-8)(27^-2)
Thanks for the question! First, you can rewrite the bases so they match each other:
9 = 3^2
27 = 3^3
So:
9^-8 can be rewritten as (3^2)^-8
27^-2 can be rewritten as (3^3)^-2
How do u raise a power to a power? Just multiply them together:
(3^2)^-8 = 3^-16
(3^3)^-2 = 3^-6
So we're left with 3^-16 * 3^-6......
Since we have the same bases (3) we keep it. All we have to do is add the exponents together:
3^-16 * 3^-6 = 3^ (-6+-16) = 3^-22
So 3^-22 would be your answer. Or if you want to rewrite it with a positive exponent, it'd be 1/(3^22)
Hope that helps! 👍
Thanks sir
You're very welcome :D
yeahh soo maybbeee, might have yk multiplied both bases and added the exponents.... on a test 😬
Oh no! Do you remember what the problem was?
👍👍
@@bravikumar8950 🙏
i have a problem! what about solving
7^6 • 14^2?
Match the exponent or the bases. Here we can math the exponents.
7⁶ = (7³)² = (343)²
Why did I rewrite it like that? Because now it has the same exponent (²) as the other term 14²
So 343² x 14² = (343x14)² = 4802² 👍
How do you solve three to the power of -2 multiplied by 4 to the power of six?
Thanks for the question! I figured it'd be easier to explain in a video, so here's a link:
ruclips.net/video/VXoQRT_HdkE/видео.html
Let me know if you have any more questions 👍
what about 2^2 times 9^3?
Thanks for the question! I made a video on how to do it, here's a link:
ruclips.net/video/UJB5kHP0FjQ/видео.html
What is the rule for this example:
(2)²)²)²)⁰=?
Solve the inner most parentheses first:
((((2)²)²)²)⁰
(2)² = 4, so we're left with:
(((4)²)²)⁰
(4)² = 16, so we're left with:
((16)²)⁰
(256)⁰ = 1
One way you think about it:
In order to Raise a power to a power, you need multiply all the exponents together:
2x2x2x0 = 0, so the exponent is 0
Lastly, any number Raised to the 0 power = 1, so that's why the answer is 1 👍
thanks u
You're welcome!
Sir please solve this 2^27 × 3^81
Hi thanks for the question! I figured it'd be easier to explain in a video, so here's a link: ruclips.net/video/kZKHvYAG2XI/видео.html
Let me know if you still have any questions 👍
Aren't all of these calculations done within base 10? The video just explains simple laws of indices for exponents.
Yeah I went over some simpler examples to get the idea across but it would still work with larger numbers. Is there a specific problem you needed help with?
What is 6x² * 2x-³?
I made a quick little video answering your question so I hope it helps :D
ruclips.net/video/_MZvAtC0dC4/видео.html
@@Eat_Pi thanks a lot 😊
🎉
🧡🙏
express each of the following in exponential form
3 6 3
(2 )× 9
----------------
4. × 3
Sorry but I'm not sure what this problem is. If you're talking about factoring and writing your answer in exponential form, this should help: ruclips.net/video/wkrBtpmrQLM/видео.html
Bro only has 3k subs cmon crank that number up to a hundred thousand, hah maybe a 10⁵
Lmao I appreciate that 😆🙏
I have a problem what about this
3 ^ (5/3) * 2 ^ (- 1/3) * 36 ^ (2/3)
Hi, thanks for the question! I thought it would be easier to explain in a video, so here's a link: ruclips.net/video/eXBk8da6AXc/видео.html
Please let me know if you still have any questions 👍
How do you do this but with x like 4x^2 * -3x^4/3
Great question! When you have numbers AND variables, those are called algebraic expressions. So what I think you're asking is how to multiply algebraic expressions. All you need to do is combine like terms. This video might help: ruclips.net/video/EsxmgRqZ6rQ/видео.html (and skip ahead to the 4 minute mark)
We can break your problem down into 3 small steps:
1. Multiply all the numbers together
2. Multiply all the variables together
3. Combine it all together at the end
Step 1)
4 * -3 = -12
Step 2)
x^2 * x^(4/3) = x^(10/3)
In case you're wondering how I got 10/3, remember we need to add the exponents: 2 + 4/3 = 6/3 + 4/3 = 10/3
Step 3)
-12x^(10/3)
Hope that helps!
I'm still confused how would I do 3 to the 3rd power • 9 to the 1/2 power
You could match the bases because 3 fits into 9 evenly. You could rewrite 9 as 3² so the bases match up.
3³ • 9^(1/2)
= 3³ ▪︎ (3²)^(1/2)
To simplify a power raised to another power, just multiply the powers together. 2•(1/2) =1 so now we have:
3³ • 3¹
To multiply powers that have the same base, add the powers together:
3³▪︎3¹ = 3^(³+¹) = 3⁴ = 81
Hope that helps 👍
ty so much u are really the best i didn't think u would respond to my comment ty
thx
anytime!
Hey there, can anyone help me with this one.... 3^5 x 5^3..... I am trying to simplify the expression but as you can see there is no way to have the same base or exponent?
Youre right, the bases are prime so you cant match those up. But you could match the exponents. It wouldn't necessarily simplify the problem much, but you could reduce the exponents a bit.
For example, rewrite 3⁵ as 3² x 3³
Why? To match the exponent on 5³
3⁵ x 5³ =
3² x 3³ x 5³
(now some exponents match, so combine them):
3² x (3x5)³ =
3² x 15³
Now rewrite the 15³ as 15² x 15 to match exponents with the 3²:
3² x 15³ =
3² x 15² x 15
(Combine same exponents again):
(3x15)² x 15 =
45² x 15
That'd be the "simplified" answer:
45² x 15
Multiplied out: 45x45x15 = 30,375
Hope that helps, but let me know if you still have questions 👍
@@Eat_Pi In my book question like this are said to be left as is it plz help
@@srijankarki3979 yes depending on the problem, it's probably best to leave it as is 👍
Hey pi can you help me with this question please?
1/5⁴ x 5/4³ x -4³
Thanks for the question! I made a video showing you how to solve this problem, here's the link:
ruclips.net/video/UN72hXtJ9B8/видео.html
Thanks for the explanation 🐱
Pls solve 81 × 2²
Eat pi please solve that one quickly
Rewrite 81 with an exponent:
81=9²
So you can rewrite the problem as:
9² x 2²
Since they now have the same exponent, just multiply the bases together and raise it all the to the same exponent:
(9×2)² = 18² = 324
Hope that helps 👍
thank youu
No problem 😊
how bout odd and even exponents??? 2^2x5^3
Great question! I figured it'd be easier to explain in a quick video, so here's a link:
ruclips.net/user/shortsbDhJuZUwYUw
Let me know if you still have any questions 👍
Hi my 2nd question is
Q: simplify the following using the laws of the exponent
' 6 ' ' y'
a ÷ a
Hope u take this question
You have the same base (a) so just subtract the exponents:
a⁶ ÷ a^y = a^(6-y)
What if one of the powers is negative while the other one isn't and the powers are different numwwbwers
Depending on what the numbers are, you still might be able to match them up. But if you have a specific problem in mind, just let me know and I can help you out 👍
How to do 2 raise to 3 multiplied by 3 raise to 2
Luckily those are easy enough exponents to work with:
2³ = 2x2x2 = 8
3² = 3x3 = 9
So 8 x 9 = 72
@@Eat_Pi thank you so much sir .
@@mathachanvirunattmathai6499 you're welcome! Thank you for the question 😄
what if the other base is not perfect square?
Good question! But it depends on the problem. Do you have a specific one in mind?
81 and 9 can be written with a base of 3. Why havnt you used that?
You can definitely use 3 also. Changing 81 to 9² was just easier because you only have to change one of the numbers instead of both that way.
But if you changed them to 3's it'd be:
(3²)^-5 • (3⁴)²
And then you can still simplify it 👍
Damn I'm so fkn dumb I didn't know this
LMAO no you're not fkn dumb 😭😭
It's a topic that gets overlooked a LOT. I hope it makes sense now though 🙏
Is anyone else doing this in 6th grade
Me lol
Me lol
Hey I have a doubt !
can you pls help me on this question to simplify its 9^8 x 8^8
Yeah this video has exactly what you're looking for: ruclips.net/video/vXaJ4bMSqLQ/видео.html
Let me know if you still have questions 👍
what if the base is unknown
Good question, do you have an example?
0:00 Randy Savage
2^3×5^4 solve this
Break down the exponents so they can match somehow. In this case, you can rewrite each one to include a power of 2:
2^3 = 2^2 * 2^1
5^4 = 5^2 *5^2
Multiply it all out:
2^2 * 2^1 * 5^2 *5^2
Combine the numbers that have same exponent:
= (2*5*5)^2 * 2^1
= (50)^2 * 2
= 2500 * 2 = 5000
Hope that helps!
5⁶×2² solve this
5⁶ = (5³)² = 125²
125² x 2² = (125x2)² = 250² 👍
Who in this comment likes doing homework😔
I like HELPING with homework, not sure that's the same thing though sorry 😬
Nerd!
😏
Thank you
You're welcome!