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Popular >

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

Solution

simplify

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

Solution

\frac{1}{x ^{\frac{7}{6}}}

Solution steps

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

Apply exponent rule:

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

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

Join

\frac{1}{3} - \frac{3}{2} : - \frac{7}{6}

= x^{- \frac{7}{6}}

Apply exponent rule:

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

= \frac{1}{x ^{\frac{7}{6}}}

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Frequently Asked Questions (FAQ)

What is (x^{1/3})/(x^{3/2)} ?
The solution to (x^{1/3})/(x^{3/2)} is 1/(x^{7/6)}