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Popular >

simplify (x^{-2/3}y^{-1/2})^2

Solution

simplify

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

Solution

\frac{1}{y x ^{\frac{4}{3}}}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(x^{- \frac{2}{3}})^{2} : \frac{1}{x ^{\frac{4}{3}}}

= \frac{1}{x ^{\frac{4}{3}}} (y^{- \frac{1}{2}})^{2}

Simplify

(y^{- \frac{1}{2}})^{2} : \frac{1}{y}

= \frac{1}{x ^{\frac{4}{3}}} \cdot \frac{1}{y}

Simplify

\frac{1}{x ^{\frac{4}{3}}} \cdot \frac{1}{y} : \frac{1}{y x ^{\frac{4}{3}}}

= \frac{1}{y x ^{\frac{4}{3}}}

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Frequently Asked Questions (FAQ)

What is (x^{-2/3}y^{-1/2})^2 ?
The solution to (x^{-2/3}y^{-1/2})^2 is 1/(yx^{4/3)}