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

  2. anonymous
    • one year ago
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    Yesh

  3. Astrophysics
    • one year ago
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    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
    • one year ago
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    Note that x is a variable here, you must still apply the 1/5 to the coefficient of 32

  5. anonymous
    • one year ago
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    I'm confused with how to use k and m in those equations

  6. Astrophysics
    • one year ago
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    Can you should me what you have done

  7. Astrophysics
    • one year ago
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    Apply the first rule to your expression

  8. anonymous
    • one year ago
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    I stopped at the coefficient because I didn't know what variables to use

  9. Astrophysics
    • one year ago
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    \[\huge (32k^5m^{-10})^{1/5} = 32^{1/5}k^{5 \times 1/5}m^{-10 \times 1/5}\]

  10. Astrophysics
    • one year ago
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    \[\huge 2k^{5/5}m^{-10/5} = 2km^{-2}\] now use the second rule

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