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Popular >

simplify (2b^{1/3})/(3b^{4/3)}

Solution

simplify

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

Solution

\frac{2}{3 b}

Solution steps

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

Apply exponent rule:

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

\frac{b ^{\frac{1}{3}}}{b ^{\frac{4}{3}}} = \frac{1}{b ^{\frac{4}{3} - \frac{1}{3}}}

= \frac{2}{3 b ^{\frac{4}{3} - \frac{1}{3}}}

\frac{4}{3} - \frac{1}{3} = 1

= \frac{2}{3 b ^{1}}

Apply exponent rule:

a^{1} = a

b^{1} = b

= \frac{2}{3 b}

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Frequently Asked Questions (FAQ)

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