Question

Use the laws of exponents to simplify. Write the answer with positive exponents.
(32k^5m^-10)^1/5

I'm not sure how to solve this at all. I'm so frustrated.

Answer 1

\[\huge (32k^5m^{-10})^{1/5}\] this right

Answer 2

Yesh

Answer 3

Here are some useful rules you should try out, then if you still have trouble we can go over them \[\huge (x^m)^n = x^{mn}\]
\[\huge x^{-n} = \frac{ 1 }{ x^n }\]

Answer 4

Note that x is a variable here, you must still apply the 1/5 to the coefficient of 32

Answer 5

I'm confused with how to use k and m in those equations

Answer 6

Can you should me what you have done

Answer 7

Apply the first rule to your expression

Answer 8

I stopped at the coefficient because I didn't know what variables to use

Answer 9

\[\huge (32k^5m^{-10})^{1/5} = 32^{1/5}k^{5 \times 1/5}m^{-10 \times 1/5}\]

Answer 10

\[\huge 2k^{5/5}m^{-10/5} = 2km^{-2}\] now use the second rule