Properties of Exponents Multiplication & Power 16 Responses to Properties of Exponents Multiplication & Power

1. Hassan Deer says:

Hi Mr. Tarrou, you didnt do an example with a fraction. Can you make a video on properties of exponents with different fractions? for example (4/3)^4 * (15/2)^4

2. ProfRobBob says:

For your example, apply the exponents to to each fraction separately and then multiply your two answers together…or expand fully and then multiply (4/3)(4/3)(4/3)(4/3)(15/2)(15/2)(15/2)(15/2)

3. Liv Burr says:

What. LOL. I was extremely confused at the beginning. e_e''

4. ProfRobBob says:

I had to wake you up before we got started!!!

5. ProfRobBob says:

If it were (x^2)^(x^3+2), this would be the power rule…or something like (x^3)^4 would be x^(3*4) or x^12. When you have one base with two "stacked" powers you do the product rule. x^2(x^3+2) says that you must distribute (multiply) the x^2 through the parenthesis and get x^3*x^2+2*x^2. In the first term you are multiplying like bases so you add the exponents.

6. ProfRobBob says:

When multiplying like bases you always add the exponents x^2*x^2 is x*4

7. Glen Johnson Ironman says:

Great work as usual. Get better soon Mr Tarrou

8. Brazil G Jr. says:

Professor,

I have an issue with exponents that have decimals. A question that I am stuck on is 2^(1.5894)=3 then what is 2^(4.5894)=?

I am wondering if you can show me how this is done without a calculator. I want to fly through my test with as little help from a calculator as possible. Thanks so much! I will definitely tip the teacher when I get paid this week. 🙂

9. Edward Dorville says:

ProfRob, in your 4rth Vertical example (w/the distributive property) X^2(x^3+2), isn't
x^2 times +2 equal to
2x^3 since the exponents are 2 and 1? Deep thanks for your great help and work. 👍

10. jolie416 says:

LOL @7:19 LOVED IT!

11. michael jordan says:

You actually know what your talking about.. your explanations are so clear.. Sal Khan teaches like he just looked this stuff up on google 10 min before a video.. you sir are helping me prepare for precalc.. you're a hero

12. Clemen Leon says:

Fav part of his teaching, WHOA! and vanishes. 🙂

13. Yaroslav Luchko says:

This might be unrelated, but why does (10^2)^3 = 1,000,000 (one million), but 10^2^3 = 100,000,000 (one hundred million). In 10^2^3, shouldn't it go from left to right? It appears that it does 2^3 first and then does 10^8. I'm kinda confused.

14. Elijah Loveless says:

I don’t know if you’ll ever see this but you got me through Algebra II in high school, now I’m in college and you are helping me through College Algebra. You’re such a great teacher and I want to give you my deepest and sincerest thank you. ❤️

15. yhang rich says:

This is the best explanation ever. Thanks, prof Rob.

16. Leslie Glen says:

I've been using some of your videos in a "flipped" class. This term I have a deaf student, and I cannot use videos that do not have closed captioning. I am required by law in my state to ask you to add closed captioning or to allow me to add it. Otherwise I cannot use this video. Thanks.