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Popular >

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

Solution

simplify

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

Solution

\frac{1}{x}

Solution steps

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

Apply exponent rule:

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

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

Combine the fractions

- \frac{2}{3} - \frac{1}{3} : - 1

= x^{- 1}

Apply exponent rule:

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

= \frac{1}{x}

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Frequently Asked Questions (FAQ)

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