## smurfy14 5 years ago simplify (-32a^10)^(3/5)

1. anonymous

First, it's important to recognize that 32 and $$a^{10}$$ are 5th powers. So, taking fifth roots, we get $$(-2a^{2})^{3}$$. Are you good from here?

2. smurfy14

no. what do you mean 5th roots??

3. anonymous

So 5th roots are kind of like square roots

4. anonymous

4 is the square of 2, so $$\sqrt{4}=2$$.

5. anonymous

$$2^{5}=32$$, so $$32^{1/5}=2$$.

6. smurfy14

ok and you get a^2 by dividing 10 by 5 right?...so what happened to the denominator of five outside the ()?

7. anonymous

That goes away because we divided the powers by 5.

8. smurfy14

...ok so is that the final answer?

9. anonymous

Well no, now you still have to cube it.

10. smurfy14

-8a^6 correct?

11. anonymous

Perfect.

12. smurfy14

ok cool so how would you do (9^(1/2)+16^(1/2))^-2?

13. anonymous

Ick, that's an ugly one. Are you sure there is a plus in there?

14. smurfy14

haha ya

15. anonymous

Stupid me, it's way easy, 9 and 16 are squares.

16. smurfy14

oh ok i see it :P do you know what 7^-2 would be?

17. anonymous

$\frac{1}{7^{2}}$, right?, which then becomes? (leave it in a fraction)

18. smurfy14

oh ok! if you dont mind could you help me with like four more? i have this as a precalc summer assignment and we havent learned any of this yet.

19. anonymous

Actually, I can't sorry, I have to take off. I am tutoring someone at 5.

20. smurfy14

ok well thanks for the help!

21. anonymous

You're very welcome, sorry I couldn't help you on the other four.

22. smurfy14

its fine.