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Popular >

simplify (m^{-1}n^{-2})^3

Solution

simplify

(m^{- 1} n^{- 2})^{3}

Solution

\frac{1}{m ^{3} n ^{6}}

Solution steps

(m^{- 1} n^{- 2})^{3}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(m^{- 1} n^{- 2})^{3} = (m^{- 1})^{3} (n^{- 2})^{3}

= (m^{- 1})^{3} (n^{- 2})^{3}

Simplify

(m^{- 1})^{3} : \frac{1}{m ^{3}}

= \frac{1}{m ^{3}} (n^{- 2})^{3}

Simplify

(n^{- 2})^{3} : \frac{1}{n ^{6}}

= \frac{1}{m ^{3}} \cdot \frac{1}{n ^{6}}

Simplify

\frac{1}{m ^{3}} \cdot \frac{1}{n ^{6}} : \frac{1}{m ^{3} n ^{6}}

= \frac{1}{m ^{3} n ^{6}}

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Frequently Asked Questions (FAQ)

What is (m^{-1}n^{-2})^3 ?
The solution to (m^{-1}n^{-2})^3 is 1/(m^3n^6)