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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:

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

(\frac{16}{81})^{- \frac{3}{4}} = \frac{1}{( \frac{16}{81} ) ^{\frac{3}{4}}}

= \frac{1}{( \frac{16}{81} ) ^{\frac{3}{4}}}

(\frac{16}{81})^{\frac{3}{4}} = \frac{8}{27}

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

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{27}{8}

Popular Examples

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Frequently Asked Questions (FAQ)

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