What is ((x^{-5})/(x^{-2)})^{-1} ?

The solution to ((x^{-5})/(x^{-2)})^{-1} is x^3

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simplify ((x^{-5})/(x^{-2)})^{-1}

simplify

(\frac{x ^{- 5}}{x ^{- 2}})^{- 1}

x^{3}

Solution steps

(\frac{x ^{- 5}}{x ^{- 2}})^{- 1}

Apply exponent rule:

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

(\frac{x ^{- 5}}{x ^{- 2}})^{- 1} = \frac{1}{\frac{x ^{- 5}}{x ^{- 2}}}

= \frac{1}{\frac{x ^{- 5}}{x ^{- 2}}}

Apply the fraction rule:

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

= \frac{x ^{- 2}}{x ^{- 5}}

Apply exponent rule:

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

\frac{x ^{- 2}}{x ^{- 5}} = x^{- 2 - (- 5)}

= x^{- 2 - (- 5)}

Subtract the numbers:

- 2 - (- 5) = 3

= x^{3}

\frac{4.07}{0.5} + \frac{16.2}{5.4}

38 \times 7

e^{- i (π)}

a x - a y

What is ((x^{-5})/(x^{-2)})^{-1} ?
The solution to ((x^{-5})/(x^{-2)})^{-1} is x^3