I know this video is old, but for anyone who might come across this confusion in the future: 1:03 imagine the exponents written out. (x*x*x*x*x*x) + (x+x+x+x+x+x) They're the same amount, so you can just write that it's a double, or 2*(x*x*x*x*x*x) which is the same as 2x^6 When they're different powers, they don't result in the same amount, so you can't consider them doubles. For example: x^3 + x^2 written out is (x*x*x) + (x*x) It can't be simplified further than that, because the results would not be identical, and therefore can't be represented by a multiplier.
thanks a bunch... but what if the powers were same but the bases weren't could we still perform addition of the two bases but putting power in whole bracets and..what if the power itself were in fraction like 1by 2 or 1 by 3 i.e square root or cuberoot could we do the same and put them in whole bracets and take squareroot or cuberrot of the of the sum of both bases
different exponents can still be added together. X^5=x•x•x•x•x(5 x’s) X^2=x•x(2 x’s) X^5+x^2=x•x•x•x•x•x•x (7 x’s) If i got something wrong i blame my math teacher.
@@rileystark9578 No you just leave it as the same. Because x^5 means x*x*x*x*x 5x means x+x+x+x+x so if the base doesn't have a value we can't simplify it further. if ur getting it confused think of the exponent having a value. 3^5 = 245 but 3+3+3+3+3= 15 Hope this helps
Can I ask for your assistance (maybe a video?) on how you would solve this? 4^6 - 4^4, without individually solving the power? I'm following GMAT studying materials and I'm unclear how you go from 4^6 - 4^4 >>> 4^4 x (4^2 - 1). If you can thoroughly explain this step, I would VERY much appreciate. I can't seem to find the answer anywhere.
Hi M Hill If add or subt numericals only then terms should be uniform as there is imarginary one before each coefficient e.g 2^3 + 2^3 1 (2×2×2)+1 (2×2×2) =(1+1)(2)^3 =(2)(8) =16 Also 3 (2)^2+4 (2)^2 =(3+4)(2)^2 =7×4 =28 Hope this will help
The bases are known values here, so you can evaluate each one separately and add the terms together: 2^3+4^2=8+16=24. If the bases were variables (eg a^3+b^2), then you cannot add them since the entire power (base and exponent) need to the the same
In the first examples , #2&3 Why are the exponent not changing ? They are staying the same Like why are they not being added ? Sorry I’m just a little lost
I am a little lost , so when the base and the exponent are the same . Aren’t you suppose to add the exponents ? I noticed you kept it exactly same , you didn’t add , subtract nor multiply.. Example 2&3 Is what I’m trying to figure out , I’ve been googling for like 30 🎉min and I can’t find anything on keeping the exponents the “same “ please and thank you
Oops. Guess I failed my math test.
f
Why does people like this comment? They are happy that he failed?
@@yesmaybebutno5171 It's because they found the comment funny, they aren't laughing at him for failing
So... did you fail?
Lol
Thanks, this helped a bunch. I completely forgot how to add them somehow lol
Thank you very very much! Without this video I can't accomplish my report tomorrow morning😊🤗
This helped on my math test.
how much did u get on ur math test
@@wafIeee Idk man, but I failed horribly even after studying hard.
@@karido4974you would’ve failed worse if you didn’t study 🤷♀️
@@abcdefghijklmnopqrstuvwyxz102THIS IS THE BEST COMMENT IVE SEEN ALL DAY THANKS
Awesome detailed explanation. Please do more on exponents. Thank u for the help.👍👍👍
Thank you very much for getting directly to the point
You don't explain why the exponents stay as six. Or square root 2. This isn't useful if we're focusing on exponents.
I know this video is old, but for anyone who might come across this confusion in the future:
1:03 imagine the exponents written out.
(x*x*x*x*x*x) + (x+x+x+x+x+x)
They're the same amount, so you can just write that it's a double, or
2*(x*x*x*x*x*x)
which is the same as
2x^6
When they're different powers, they don't result in the same amount, so you can't consider them doubles. For example:
x^3 + x^2
written out is
(x*x*x) + (x*x)
It can't be simplified further than that, because the results would not be identical, and therefore can't be represented by a multiplier.
99999p
@@iNonEntity thank you soo much
Hi Karen. Thanks for the video
nice video will really help me in my test thank you so much.
thank you ,please which programe you use it in this video
Thank you! from, a mom trying to help my 8th grader!
thanks a bunch... but what if the powers were same but the bases weren't could we still perform addition of the two bases but putting power in whole bracets and..what if the power itself were in fraction like 1by 2 or 1 by 3 i.e square root or cuberoot could we do the same and put them in whole bracets and take squareroot or cuberrot of the of the sum of both bases
Great. How do I add them if they're not the same power?
you cant
Thanks a lot for this💖
This was very helpful.
Who's here on 2020??
Meeee
2021
@@mxngo6466 Same man
@@mxngo6466 same here😀😀😂
2023❤❤😂🎉🎉🎉🎉
This helped with my year 8 math test
Hi maydam , what whattens when powers are different ?
Take me to the complex plane
Thank you🙏
Thank you!
Your voice is very sweet
This was very helpful
But what happened if both base has different exponents, but i still need to add it. What should i do?
different exponents can still be added together.
X^5=x•x•x•x•x(5 x’s)
X^2=x•x(2 x’s)
X^5+x^2=x•x•x•x•x•x•x (7 x’s)
If i got something wrong i blame my math teacher.
@@rileystark9578 No you just leave it as the same. Because x^5 means x*x*x*x*x 5x means x+x+x+x+x so if the base doesn't have a value we can't simplify it further.
if ur getting it confused think of the exponent having a value. 3^5 = 245 but 3+3+3+3+3= 15
Hope this helps
your new watcher
Can I ask for your assistance (maybe a video?) on how you would solve this? 4^6 - 4^4, without individually solving the power? I'm following GMAT studying materials and I'm unclear how you go from 4^6 - 4^4 >>> 4^4 x (4^2 - 1). If you can thoroughly explain this step, I would VERY much appreciate. I can't seem to find the answer anywhere.
Matt Hill I’m in the same problem with the GRE. Did you ever find anything? Mine is (2^30)-(2^29)/2 and if it is greater than 2^28.
You should use the app photomath from the playstore. It has step by step easy solutions.
Hi M Hill
If add or subt numericals only then terms should be uniform as there is imarginary one before each coefficient e.g
2^3 + 2^3
1 (2×2×2)+1 (2×2×2)
=(1+1)(2)^3
=(2)(8)
=16
Also
3 (2)^2+4 (2)^2
=(3+4)(2)^2
=7×4
=28
Hope this will help
⁰
None of the videos covered this point. Concept tested for my GRE
Tq so much mam for clarifying my doubts
Thanks a lot 👌
So what is the correct answer to that exponential you given
I am from Pakistan thanks dear ❤❤❤❤
Love from ❤ India.
thank you this helped
This Vid is awesome to those who understood
that there is a hidden # before the coefficient in case of add and sub
You can't do like that to a mixed fraction although you can make it a improper fraction
Can I do 2^3 + 4^2? Different coefficients, different exponents?
I think
If numericals only then all terms to be uniform
The bases are known values here, so you can evaluate each one separately and add the terms together: 2^3+4^2=8+16=24.
If the bases were variables (eg a^3+b^2), then you cannot add them since the entire power (base and exponent) need to the the same
@@karendeboer9784
Tks Karen but I suppose Scott wants creative way of solving rather than takling each term
@@karendeboer9784 omg you helped me so much than you 😭
Ok thanks🎉❤
Thanks... 😊
this Help me in question 👍
Thanks very much for the vud
video* no incorrect spelling and abbreviations during math
Bruh i wanted x^3-x^2
Thanks
So x^0 +x^0= 2, right? X^0 =1 by definition.
Okay why do we have to add the 2 if we not multiplying
What if the base is different and the exponent is different
You cant
00:30 Then how to solve it ?
Mrs I don't understand why you subtracted here at 1:59 because you said that the exponent and base must be the same in order to do that.
cuz the exponent and power r the same? they are both b to the power 2
Haay.. If the numbers are samme what will dooo?
I think you got the entire exponent concept wrong. When subtracting or adding them, only the bases must be the same NOT the exponent.
In the first examples , #2&3
Why are the exponent not changing ?
They are staying the same
Like why are they not being added ?
Sorry I’m just a little lost
Thanks a lot ma'am.
I got 100 I my test......
2021 WYA!
Thankyou mam😊😇
damn it i failed my math test
I am from India 🇮🇳🇮🇳
1:20 most things in math r imagery.. invisible, that is y most ppl cant do math 👍
i’m gonna fail highschool 😞
Shook this isn’t even high school math I-
Blahobe Hsbdjzss exactly. i’m gonna fail highschool and this is highschool math my guy
Shook its 7th to 8th grade level where I live I-
Blahobe Hsbdjzss bruh whatt this is grade 9 math for us in Canada
@@shook2570 in Kazakhstan it's 6-7th grade lmao
Hi but I don't understand Wat u meant about the addition
-5x^4 -2x^3
makes no sense. i dont know how to simplify 2^2-2^0 x 2^3 and 4^3/4^2+2^4 x 3^2
nice name miss
the video image is too poor, you need to fix it more
I am a little lost , so when the base and the exponent are the same . Aren’t you suppose to add the exponents ?
I noticed you kept it exactly same , you didn’t add , subtract nor multiply..
Example 2&3
Is what I’m trying to figure out , I’ve been googling for like 30 🎉min and I can’t find anything on keeping the exponents the “same “ please and thank you
No, you only add exponents when you are multiplying numbers, not adding them.
so youre saying that my maths teacher is incorrect????
You didn’t say what the answer is to on the first one only what’s not the answer
I'm trusting on you and not watching another video
Thanku so much mam
Thx
I did not understood anything..... tomorrow I have a test
ღMari Vegaღ also me 😳😳
How about x² - x?
x^2 = x * x. so, no you cannot subtract x from that. it would be x * x -x WHICH won't equal x, a common mistake
Maths is yeazy
Whats this ... i failed.... 😢... why are u liying us... we are little kids, we have to achieve goal
Wrong!!!
.
hi you made it here, no what ive jsut wasted your time
i think not
this is not true
this is not correct
Useless
L video
I am from Pakistan thanks dear ❤❤❤❤
the video image is too poor, you need to fix it more
I am from Pakistan thanks dear ❤❤❤❤