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Popular >

simplify (1/3)^{-4}

Solution

simplify

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

Solution

81

Solution steps

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

Apply exponent rule:

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

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

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

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

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

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

= 81

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Frequently Asked Questions (FAQ)

What is (1/3)^{-4} ?
The solution to (1/3)^{-4} is 81