What is (a^{-3}b^{-1})/(c^{-2)} ?

The solution to (a^{-3}b^{-1})/(c^{-2)} is (c^2)/(a^3b)

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simplify (a^{-3}b^{-1})/(c^{-2)}

simplify

\frac{a ^{- 3} b ^{- 1}}{c ^{- 2}}

\frac{c ^{2}}{a ^{3} b}

Solution steps

\frac{a ^{- 3} b ^{- 1}}{c ^{- 2}}

Simplify

a^{- 3} b^{- 1} : \frac{1}{a ^{3} b}

= \frac{\frac{1}{a ^{3} b}}{c ^{- 2}}

Apply the fraction rule:

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

= \frac{1}{a ^{3} b c ^{- 2}}

Simplify

a^{3} b c^{- 2} : \frac{a ^{3} b}{c ^{2}}

= \frac{1}{\frac{a ^{3} b}{c ^{2}}}

Apply the fraction rule:

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

= \frac{c ^{2}}{a ^{3} b}

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What is (a^{-3}b^{-1})/(c^{-2)} ?
The solution to (a^{-3}b^{-1})/(c^{-2)} is (c^2)/(a^3b)