What is (a^{-7}b^2)/(c^3d^{-4)} ?

The solution to (a^{-7}b^2)/(c^3d^{-4)} is (b^2d^4)/(a^7c^3)

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simplify (a^{-7}b^2)/(c^3d^{-4)}

simplify

\frac{a ^{- 7} b ^{2}}{c ^{3} d ^{- 4}}

\frac{b ^{2} d ^{4}}{a ^{7} c ^{3}}

Solution steps

\frac{a ^{- 7} b ^{2}}{c ^{3} d ^{- 4}}

Simplify

a^{- 7} b^{2} : \frac{b ^{2}}{a ^{7}}

= \frac{\frac{b ^{2}}{a ^{7}}}{c ^{3} d ^{- 4}}

Apply the fraction rule:

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

= \frac{b ^{2}}{a ^{7} c ^{3} d ^{- 4}}

Simplify

a^{7} c^{3} d^{- 4} : \frac{a ^{7} c ^{3}}{d ^{4}}

= \frac{b ^{2}}{\frac{a ^{7} c ^{3}}{d ^{4}}}

Apply the fraction rule:

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

= \frac{b ^{2} d ^{4}}{a ^{7} c ^{3}}

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What is (a^{-7}b^2)/(c^3d^{-4)} ?
The solution to (a^{-7}b^2)/(c^3d^{-4)} is (b^2d^4)/(a^7c^3)