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Popular >

simplify (2/(xy))^{-3}

Solution

simplify

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

Solution

\frac{x ^{3} y ^{3}}{8}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

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

= \frac{1}{\frac{8}{x ^{3} y ^{3}}}

Apply the fraction rule:

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

= \frac{x ^{3} y ^{3}}{8}

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(7 a^{5} b^{6})^{4}

Frequently Asked Questions (FAQ)

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