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Popular >

simplify (4x)^{-2/3}

Solution

simplify

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

Solution

\frac{1}{4 ^{\frac{2}{3}} x ^{\frac{2}{3}}}

Solution steps

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

Apply exponent rule:

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

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

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

Apply exponent rule:

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

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

= \frac{1}{4 ^{\frac{2}{3}} x ^{\frac{2}{3}}}

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Frequently Asked Questions (FAQ)

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