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math

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Use the exponent rule to simplify the expression. Assume the variable represents nonzero real numbers.

(m^5m)^-7/(m^-32n^8)

  • math -

    (m^5)*m = m^5*m^1 = m^(5+1) = m^6
    (m^6)^-7 = m^(6*-7)=m^(-42)

    m^(-42)/(m^(-32)*n^8) =
    m^(-42-(-32))*n^(-8) =

    m^(-10)*n^(-8) (=ANSWER)

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