What is (x^{1/3})/(x^{2/3)} ?

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Combine the fractions

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

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

Apply exponent rule:

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

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

\frac{12 3}{2}

\frac{3 ^{3}}{4 ^{3}}

75 \cdot 5

\frac{1}{3} = n + \frac{3}{4}

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