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Popular >

simplify (a^{2/5})^{-3/4}

Solution

simplify

(a^{\frac{2}{5}})^{- \frac{3}{4}}

Solution

\frac{1}{a ^{\frac{3}{10}}}

Solution steps

(a^{\frac{2}{5}})^{- \frac{3}{4}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= a^{\frac{2}{5} (- \frac{3}{4})}

\frac{2}{5} (- \frac{3}{4}) = - \frac{3}{10}

= a^{- \frac{3}{10}}

Apply exponent rule:

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

a^{- \frac{3}{10}} = \frac{1}{a ^{\frac{3}{10}}}

= \frac{1}{a ^{\frac{3}{10}}}

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Frequently Asked Questions (FAQ)

What is (a^{2/5})^{-3/4} ?
The solution to (a^{2/5})^{-3/4} is 1/(a^{3/10)}