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Popular >

simplify 1/5 0.5^{-5}

Solution

simplify

\frac{1}{5} 0. 5^{- 5}

Solution

\frac{32}{5}

+1

Solution steps

\frac{1}{5} \cdot 0. 5^{- 5}

Apply exponent rule:

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

0. 5^{- 5} = \frac{1}{0. 5 ^{5}}

= \frac{1}{5} \cdot \frac{1}{0. 5 ^{5}}

0. 5^{5} = 0.03125

= \frac{1}{5} \cdot \frac{1}{0.03125}

Divide the numbers:

\frac{1}{0.03125} = 32

= \frac{1}{5} \cdot 32

\frac{1}{5} \cdot 32 = \frac{32}{5}

= \frac{32}{5}

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Frequently Asked Questions (FAQ)

What is 1/5 0.5^{-5} ?
The solution to 1/5 0.5^{-5} is 32/5