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Popular >

simplify (1/5)^{-5}

Solution

simplify

(\frac{1}{5})^{- 5}

Solution

3125

Solution steps

(\frac{1}{5})^{- 5}

Apply exponent rule:

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

(\frac{1}{5})^{- 5} = \frac{1}{( \frac{1}{5} ) ^{5}}

= \frac{1}{( \frac{1}{5} ) ^{5}}

(\frac{1}{5})^{5} = \frac{1}{3125}

= \frac{1}{\frac{1}{3125}}

\frac{1}{\frac{1}{3125}} = 3125

= 3125

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Frequently Asked Questions (FAQ)

What is (1/5)^{-5} ?
The solution to (1/5)^{-5} is 3125