What is ((ab)^{-1})/(cd^{-2)} ?

The solution to ((ab)^{-1})/(cd^{-2)} is (d^2)/(abc)

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simplify ((ab)^{-1})/(cd^{-2)}

simplify

\frac{( ab ) ^{- 1}}{c d ^{- 2}}

\frac{d ^{2}}{ab c}

Solution steps

\frac{( ab ) ^{- 1}}{c d ^{- 2}}

Apply exponent rule:

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

(ab)^{- 1} = \frac{1}{ab}

= \frac{\frac{1}{ab}}{c d ^{- 2}}

Apply the fraction rule:

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

= \frac{1}{ab c d ^{- 2}}

Simplify

ab c d^{- 2} : \frac{ab c}{d ^{2}}

= \frac{1}{\frac{ab c}{d ^{2}}}

Apply the fraction rule:

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

= \frac{d ^{2}}{ab c}

3 (3 x + 2)

4 x^{3} y^{6} + 22 x^{2} y^{7}

3 x^{2} (y^{3})^{2} x^{4}

10 x^{2} - 148 x + 490

\frac{1 - 0.99}{2}

What is ((ab)^{-1})/(cd^{-2)} ?
The solution to ((ab)^{-1})/(cd^{-2)} is (d^2)/(abc)