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Popular >

simplify (27/8)^{4/3}

Solution

simplify

(\frac{27}{8})^{\frac{4}{3}}

Solution

\frac{81}{16}

+1

Solution steps

(\frac{27}{8})^{\frac{4}{3}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{2 7 ^{\frac{4}{3}}}{8 ^{\frac{4}{3}}}

2 7^{\frac{4}{3}} = 81

= \frac{81}{8 ^{\frac{4}{3}}}

8^{\frac{4}{3}} = 16

= \frac{81}{16}

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Frequently Asked Questions (FAQ)

What is (27/8)^{4/3} ?
The solution to (27/8)^{4/3} is 81/16