What is (x^{-3})/(y^{-5)} ?

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

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simplify (x^{-3})/(y^{-5)}

simplify

\frac{x ^{- 3}}{y ^{- 5}}

\frac{y ^{5}}{x ^{3}}

Solution steps

\frac{x ^{- 3}}{y ^{- 5}}

Apply exponent rule:

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

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

= \frac{\frac{1}{x ^{3}}}{y ^{- 5}}

Apply the fraction rule:

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

= \frac{1}{x ^{3} y ^{- 5}}

Simplify

x^{3} y^{- 5} : \frac{x ^{3}}{y ^{5}}

= \frac{1}{\frac{x ^{3}}{y ^{5}}}

Apply the fraction rule:

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

= \frac{y ^{5}}{x ^{3}}

\frac{x ^{- 3}}{y ^{- 4}}

(x + 2) (x - 10)

75 x^{6} y^{5}

8 x^{3} - x

(5 x) (5 x)