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Popular >

simplify m^7(m^2)^{-9}

Solution

simplify

m^{7} (m^{2})^{- 9}

Solution

\frac{1}{m ^{11}}

Solution steps

m^{7} (m^{2})^{- 9}

Simplify

(m^{2})^{- 9} : \frac{1}{m ^{18}}

= m^{7} \frac{1}{m ^{18}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{m ^{7} \cdot 1}{m ^{18}}

Apply rule:

a \cdot 1 = a

m^{7} \cdot 1 = m^{7}

= \frac{m ^{7}}{m ^{18}}

Simplify

\frac{m ^{7}}{m ^{18}} : \frac{1}{m ^{11}}

= \frac{1}{m ^{11}}

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Frequently Asked Questions (FAQ)

What is m^7(m^2)^{-9} ?
The solution to m^7(m^2)^{-9} is 1/(m^{11)}