## anonymous one year ago 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.

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1. Astrophysics

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

2. anonymous

Yesh

3. Astrophysics

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

4. Astrophysics

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

5. anonymous

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

6. Astrophysics

Can you should me what you have done

7. Astrophysics

Apply the first rule to your expression

8. anonymous

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

9. Astrophysics

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

10. Astrophysics

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