What is ((xy^3)/(x^5y))^{-2} ?

The solution to ((xy^3)/(x^5y))^{-2} is (x^8)/(y^4)

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simplify ((xy^3)/(x^5y))^{-2}

simplify

(\frac{x y ^{3}}{x ^{5} y})^{- 2}

\frac{x ^{8}}{y ^{4}}

Solution steps

(\frac{x y ^{3}}{x ^{5} y})^{- 2}

Apply exponent rule:

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

(\frac{x y ^{3}}{x ^{5} y})^{- 2} = \frac{1}{( \frac{x y ^{3}}{x ^{5} y} ) ^{2}}

= \frac{1}{( \frac{x y ^{3}}{x ^{5} y} ) ^{2}}

Simplify

(\frac{x y ^{3}}{x ^{5} y})^{2} : \frac{y ^{4}}{x ^{8}}

= \frac{1}{\frac{y ^{4}}{x ^{8}}}

Apply the fraction rule:

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

= \frac{x ^{8}}{y ^{4}}

5^{2} + 1^{2}

\frac{3}{2} (- 1)^{3}

60 x^{2} - 7 x - 22

9 \cdot 4

- 16 x + 60 x + 4

What is ((xy^3)/(x^5y))^{-2} ?
The solution to ((xy^3)/(x^5y))^{-2} is (x^8)/(y^4)