What is (y^{-4})/(5x^{-2)} ?

The solution to (y^{-4})/(5x^{-2)} is (x^2)/(5y^4)

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simplify (y^{-4})/(5x^{-2)}

simplify

\frac{y ^{- 4}}{5 x ^{- 2}}

\frac{x ^{2}}{5 y ^{4}}

Solution steps

\frac{y ^{- 4}}{5 x ^{- 2}}

Apply exponent rule:

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

y^{- 4} = \frac{1}{y ^{4}}

= \frac{\frac{1}{y ^{4}}}{5 x ^{- 2}}

Apply the fraction rule:

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

= \frac{1}{y ^{4} \cdot 5 x ^{- 2}}

Simplify

y^{4} \cdot 5 x^{- 2} : \frac{5 y ^{4}}{x ^{2}}

= \frac{1}{\frac{5 y ^{4}}{x ^{2}}}

Apply the fraction rule:

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

= \frac{x ^{2}}{5 y ^{4}}

9 n - 8 + 3 (2 n - 11)

ln (x^{2} + 1)

\frac{- 30}{5}

(1 + x^{3}) (x^{2} - 5 x + 2)

- 120