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Popular >

simplify (2/3)^{-4}

Solution

simplify

(\frac{2}{3})^{- 4}

Solution

\frac{81}{16}

+1

Solution steps

(\frac{2}{3})^{- 4}

Apply exponent rule:

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

(\frac{2}{3})^{- 4} = \frac{1}{( \frac{2}{3} ) ^{4}}

= \frac{1}{( \frac{2}{3} ) ^{4}}

(\frac{2}{3})^{4} = \frac{16}{81}

= \frac{1}{\frac{16}{81}}

Apply the fraction rule:

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

= \frac{81}{16}

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Frequently Asked Questions (FAQ)

What is (2/3)^{-4} ?
The solution to (2/3)^{-4} is 81/16