What is (x^{-3})/(y^{-2)} ?

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

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simplify (x^{-3})/(y^{-2)}

simplify

\frac{x ^{- 3}}{y ^{- 2}}

\frac{y ^{2}}{x ^{3}}

Solution steps

\frac{x ^{- 3}}{y ^{- 2}}

Apply exponent rule:

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

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

= \frac{\frac{1}{x ^{3}}}{y ^{- 2}}

Apply the fraction rule:

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

= \frac{1}{x ^{3} y ^{- 2}}

Simplify

x^{3} y^{- 2} : \frac{x ^{3}}{y ^{2}}

= \frac{1}{\frac{x ^{3}}{y ^{2}}}

Apply the fraction rule:

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

= \frac{y ^{2}}{x ^{3}}

7 > \frac{w}{5} - 8

\frac{x ^{2} - x - 12}{x ^{2} + x - 6} > 0

8 x^{2} + 16 x

3 m - 12 \geq 30

\frac{21 x ^{3} y}{14 x ^{2} y ^{2}}