What is (x^{-5}+y^{-4})/(x^{-4)+y^{-3}} ?

The solution to (x^{-5}+y^{-4})/(x^{-4)+y^{-3}} is (y^4+x^5)/(xy(y^3+x^4))

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simplify (x^{-5}+y^{-4})/(x^{-4)+y^{-3}}

simplify

\frac{x ^{- 5} + y ^{- 4}}{x ^{- 4} + y ^{- 3}}

\frac{y ^{4} + x ^{5}}{x y ( y ^{3} + x ^{4} )}

Solution steps

\frac{x ^{- 5} + y ^{- 4}}{x ^{- 4} + y ^{- 3}}

Simplify

x^{- 5} + y^{- 4} : \frac{y ^{4} + x ^{5}}{x ^{5} y ^{4}}

= \frac{\frac{y ^{4} + x ^{5}}{x ^{5} y ^{4}}}{x ^{- 4} + y ^{- 3}}

Simplify

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

= \frac{\frac{y ^{4} + x ^{5}}{x ^{5} y ^{4}}}{\frac{y ^{3} + x ^{4}}{x ^{4} y ^{3}}}

Apply the fraction rule:

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

= \frac{( y ^{4} + x ^{5} ) x ^{4} y ^{3}}{x ^{5} y ^{4} ( y ^{3} + x ^{4} )}

Cancel

\frac{( y ^{4} + x ^{5} ) x ^{4} y ^{3}}{x ^{5} y ^{4} ( y ^{3} + x ^{4} )} : \frac{y ^{4} + x ^{5}}{x y ( y ^{3} + x ^{4} )}

= \frac{y ^{4} + x ^{5}}{x y ( y ^{3} + x ^{4} )}

8 (y - 9) = - 32

468.75

\frac{\frac{5}{4}}{\frac{5}{m} - \frac{4}{m}}

\frac{x}{x ^{2} - 1} > 0

z^{2} + 6 z + 8

What is (x^{-5}+y^{-4})/(x^{-4)+y^{-3}} ?
The solution to (x^{-5}+y^{-4})/(x^{-4)+y^{-3}} is (y^4+x^5)/(xy(y^3+x^4))