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Popular >

simplify (xy)^{-a/b}

Solution

simplify

(x y)^{- \frac{a}{b}}

Solution

\frac{1}{x ^{\frac{a}{b}} y ^{\frac{a}{b}}}

Solution steps

(x y)^{- \frac{a}{b}}

Apply exponent rule:

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

(x y)^{- \frac{a}{b}} = \frac{1}{( x y ) ^{\frac{a}{b}}}

= \frac{1}{( x y ) ^{\frac{a}{b}}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(x y)^{\frac{a}{b}} = x^{\frac{a}{b}} y^{\frac{a}{b}}

= \frac{1}{x ^{\frac{a}{b}} y ^{\frac{a}{b}}}

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Frequently Asked Questions (FAQ)

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