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Popular >

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

Solution

simplify

\frac{a ^{\frac{2}{3}}}{a ^{\frac{3}{4}}}

Solution

\frac{1}{a ^{\frac{1}{12}}}

Solution steps

\frac{a ^{\frac{2}{3}}}{a ^{\frac{3}{4}}}

Apply exponent rule:

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

= a^{\frac{2}{3} - \frac{3}{4}}

Join

\frac{2}{3} - \frac{3}{4} : - \frac{1}{12}

= a^{- \frac{1}{12}}

Apply exponent rule:

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

= \frac{1}{a ^{\frac{1}{12}}}

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Frequently Asked Questions (FAQ)

What is (a^{2/3})/(a^{3/4)} ?
The solution to (a^{2/3})/(a^{3/4)} is 1/(a^{1/12)}