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Popular >

simplify (81/16)^{3/4}

Solution

simplify

(\frac{81}{16})^{\frac{3}{4}}

Solution

\frac{27}{8}

+1

Solution steps

(\frac{81}{16})^{\frac{3}{4}}

Apply exponent rule:

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

= \frac{8 1 ^{\frac{3}{4}}}{1 6 ^{\frac{3}{4}}}

8 1^{\frac{3}{4}} = 27

= \frac{27}{1 6 ^{\frac{3}{4}}}

1 6^{\frac{3}{4}} = 8

= \frac{27}{8}

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Frequently Asked Questions (FAQ)

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