What is ((m^4)^{-2})^{-1} ?

The solution to ((m^4)^{-2})^{-1} is m^8

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simplify ((m^4)^{-2})^{-1}

simplify

((m^{4})^{- 2})^{- 1}

m^{8}

Solution steps

((m^{4})^{- 2})^{- 1}

(m^{4})^{- 2} : m^{- 8}

= (m^{- 8})^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

= \frac{1}{m ^{- 8}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

m^{- 8} = \frac{1}{m ^{8}}

= \frac{1}{\frac{1}{m ^{8}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{m ^{8}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= m^{8}

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