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Popular >

simplify (mn^2)/(m^{-2)}

Solution

simplify

\frac{m n ^{2}}{m ^{- 2}}

Solution

m^{3} n^{2}

Solution steps

\frac{m n ^{2}}{m ^{- 2}}

Apply exponent rule:

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

\frac{m}{m ^{- 2}} = m^{1 - (- 2)}

= m^{1 - (- 2)} n^{2}

1 - (- 2) = 3

= m^{3} n^{2}

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Frequently Asked Questions (FAQ)

What is (mn^2)/(m^{-2)} ?
The solution to (mn^2)/(m^{-2)} is m^3n^2