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Popular >

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

Solution

simplify

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

Solution

\frac{27}{8}

+1

Decimal Notation

3.375

Solution steps

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

Apply exponent rule:

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

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

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

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

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

= \frac{\frac{1}{8}}{\frac{1}{27}}

\frac{\frac{1}{8}}{\frac{1}{27}} = \frac{27}{8}

= \frac{27}{8}

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Frequently Asked Questions (FAQ)

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