## itsjustme_lol Group Title Laws of Exponents..im not understanding this one year ago one year ago

1. LogicalApple Group Title

Like $a ^{m + n} = a ^{m}a ^{n} ?$

2. itsjustme_lol Group Title

idk. hang on let me seee lol

3. itsjustme_lol Group Title

(3a^4)3

4. itsjustme_lol Group Title

thats one of them problems it gives me.

5. KingGeorge Group Title

For that problem, there's two laws that you need to be familiar with. Law 1:$\large (a\cdot b)^n=a^n\cdot b^n$ Law 2: $\large (a^n)^m=a^{n\cdot m}$Using these, can you find the solution to your problem.

6. itsjustme_lol Group Title

ok that makes a little bit more sense . so could you help me solve that problem that I posted?

7. KingGeorge Group Title

Sure. First, the correct formatting is $\large (3a^4)^3$correct?

8. itsjustme_lol Group Title

yes

9. itsjustme_lol Group Title

and thankyou!

10. KingGeorge Group Title

First, we use the first law I mentioned. So $\large (3a^4)^3=3^3\cdot(a^4)^3$Now, use law 2 to simplify $$(a^4)^3$$. Can you tell me what you get?

11. itsjustme_lol Group Title

ok give me a sec

12. itsjustme_lol Group Title

(a)^7 ?? i think thats totaly wrong

13. itsjustme_lol Group Title

unless is a^12

14. KingGeorge Group Title

It's the second one. Good job! That means, we've simplified to $\large 3^3\cdot a^{12} \small .$Now just find $$3^3$$, and you're done.

15. itsjustme_lol Group Title

with the 3^3 do I multiply that..is it 9?

16. KingGeorge Group Title

$$3^3=(3\cdot3)\cdot3=9\cdot3=27$$

17. itsjustme_lol Group Title

oh i see what you did there, i seee my mistake

18. itsjustme_lol Group Title

so its (a^12)27?

19. precal Group Title

|dw:1356824001142:dw|also, parenthesis between the exponents remind me to multiply the powers, this is one of the ways I remember this law

20. KingGeorge Group Title

You could write it as $$27\cdot a^{12}$$ or $$a^{12}\cdot 27$$. And if you have some trouble remembering the law, precal's way to do it an excellent way to remember.

21. precal Group Title

|dw:1356824081954:dw|I always associated the laws with things I already know

22. itsjustme_lol Group Title

i wish I could give u guys both medals :p i appreicate both!!

23. KingGeorge Group Title

You're welcome.

24. precal Group Title

np yw