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Popular >

simplify (a^3b^{-1/4})^{2/3}

Solution

simplify

(a^{3} b^{- \frac{1}{4}})^{\frac{2}{3}}

Solution

\frac{a ^{2}}{b ^{\frac{1}{6}}}

Solution steps

(a^{3} b^{- \frac{1}{4}})^{\frac{2}{3}}

Apply exponent rule:

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

(a^{3} b^{- \frac{1}{4}})^{\frac{2}{3}} = (a^{3})^{\frac{2}{3}} (b^{- \frac{1}{4}})^{\frac{2}{3}}

= (a^{3})^{\frac{2}{3}} (b^{- \frac{1}{4}})^{\frac{2}{3}}

Simplify

(a^{3})^{\frac{2}{3}} : a^{2}

= a^{2} (b^{- \frac{1}{4}})^{\frac{2}{3}}

Simplify

(b^{- \frac{1}{4}})^{\frac{2}{3}} : \frac{1}{b ^{\frac{1}{6}}}

= a^{2} \frac{1}{b ^{\frac{1}{6}}}

Simplify

a^{2} \frac{1}{b ^{\frac{1}{6}}} : \frac{a ^{2}}{b ^{\frac{1}{6}}}

= \frac{a ^{2}}{b ^{\frac{1}{6}}}

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Frequently Asked Questions (FAQ)

What is (a^3b^{-1/4})^{2/3} ?
The solution to (a^3b^{-1/4})^{2/3} is (a^2)/(b^{1/6)}