What is (x^{-1})/(x^{-2)-y^{-3}} ?

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

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simplify (x^{-1})/(x^{-2)-y^{-3}}

simplify

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

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

Solution steps

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

Simplify

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

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

Join

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

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

Apply the fraction rule:

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

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

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

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

(w - 2)^{2} + 44 = 0

(- i)^{2}

a^{2} - b^{2} + 3 a - 3 b

x^{2} - x - 30

7 a^{2} (a - x) + (6 a^{2} - a x) (x - a)

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