What is (ab^2)/(d^{-3)} ?

The solution to (ab^2)/(d^{-3)} is ab^2d^3

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simplify (ab^2)/(d^{-3)}

simplify

\frac{a b ^{2}}{d ^{- 3}}

a b^{2} d^{3}

Solution steps

\frac{a b ^{2}}{d ^{- 3}}

Apply exponent rule:

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

d^{- 3} = \frac{1}{d ^{3}}

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

Apply the fraction rule:

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

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

Apply the fraction rule:

\frac{a}{1} = a

= a b^{2} d^{3}

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