I started watching your videos with Pre-algebra. Now so close to the end of TTP Math, im feeling good! You have successfully made me interested in exponents, never thought that was possible! haha. I think that proof you showed was so cool. thank you :)
Wow! I loved linking order of operations to exponent rules. It makes it much easier to remember in case you forgot! Very nice stuff Prof. Leonard. Thanks!
Please do more college/ university level of maths eg calculus, applied maths etc! Most of use are from uni! Btw, i watched all your videos for cal2 and cal3 last semester and i passed! thankyou so much !
@@CHRISTIANZEGARRA2018 It's also for students who simply do hardcore reviews. I took a course in Partial Differential Equations recently, but I still binge-watch this playlist just as a review. I will then watch the other playlists as well, lol.
Do you mean 5^4 / 5^4 = 1? That is because this can be rewritten as (5*5*5*5) / (5*5*5*5) = 1, and this makes it clear that the four 5-factors in the numerator are cancelled by the four 5-factors in the denominator - in other words, they are "subtracted away", so this becomes 5^(4-4) = 5^0 = 1.
I think the lecturer is confusing a minus base with a negative base. If you enter the minus sign then a base then the exponent, you will get a negative result. On the other hand, if you enter the base and then negate by hitting ± key then enter an even number exponent, the result will be positive. Let's do the examples he used. (-2)⁶=64 Let's do the next one. This time we will use ± to negate the base which is 2 then enter the exponent 6. This is the sequence. 2±⁶=64 When you enter the minus sign first then the 2, it becomes 0-2 in reality. On the other hand, when you enter 2 then ±, it becomes -2 You can now apply any even number exponent and the result is positive. Any odd number exponent will give a negative result. A long-winded but...
I started watching your videos with Pre-algebra. Now so close to the end of TTP Math, im feeling good! You have successfully made me interested in exponents, never thought that was possible! haha. I think that proof you showed was so cool. thank you :)
ily prof leonard thanks for everything
I don't even have math in school anymore but i still watch these!
Ha! I am literally doing this in math this term. Thanks for the help!
Hello Mr Leonard.. MC misses you! Good luck in your new adventure
Man, you're just amazing!
Wow! I loved linking order of operations to exponent rules. It makes it much easier to remember in case you forgot! Very nice stuff Prof. Leonard. Thanks!
Can you make a series on combinatorics
You should be packaging these and selling them bro! Incredible content
Differential equations please!!!! Please Leonard I need you!!!
Savannah Hensley blackpenredpen has some really good diff eq content.
@@isaac10231
Chris Tisdell also has some great videos on Partial Differential Equations.
Please do more college/ university level of maths eg calculus, applied maths etc! Most of use are from uni!
Btw, i watched all your videos for cal2 and cal3 last semester and i passed! thankyou so much !
Yes please!
Ching, These videos are mainly for students who struggle in calculus because they aren't good with basic algebra.
Have you not visited his channel?! He has all kinds of Calculus videos!
@@CHRISTIANZEGARRA2018
It's also for students who simply do hardcore reviews.
I took a course in Partial Differential Equations recently, but I still binge-watch this playlist just as a review. I will then watch the other playlists as well, lol.
Why is 5^0 written out as 5^0 divided by 5^0?
Shouldn't it be written out as 5^0 divided by 1^1?
Do you mean 5^4 / 5^4 = 1?
That is because this can be rewritten as (5*5*5*5) / (5*5*5*5) = 1, and this makes it clear that the four 5-factors in the numerator are cancelled by the four 5-factors in the denominator - in other words, they are "subtracted away", so this becomes 5^(4-4) = 5^0 = 1.
the way you hold that marker.... i wish i was that marker
awesome!!
These simple algebra can mess up an entire problem in higher mathematics if you dont know how to perform them.
I think the lecturer is confusing a minus base with a negative base. If you enter the minus sign then a base then the exponent, you will get a negative result.
On the other hand, if you enter the base and then negate by hitting ± key then enter an even number exponent, the result will be positive.
Let's do the examples he used.
(-2)⁶=64
Let's do the next one. This time we will use ± to negate the base which is 2 then enter the exponent 6.
This is the sequence.
2±⁶=64
When you enter the minus sign first then the 2, it becomes 0-2 in reality.
On the other hand, when you enter 2 then ±, it becomes -2
You can now apply any even number exponent and the result is positive.
Any odd number exponent will give a negative result.
A long-winded but...
ohhhh my godddddddddd i always asl myself why power 0 is 1 .You click my mind its actualyy simple than i think @_@.
Almost first
First.
"Why in the world do we get 1? No one knows..." Idk why but that cracked me up😂