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Popular >

simplify 1/8 0.1^{-2}

Solution

simplify

\frac{1}{8} 0. 1^{- 2}

Solution

\frac{25}{2}

+1

Decimal Notation

12.5

Solution steps

\frac{1}{8} \cdot 0. 1^{- 2}

Apply exponent rule:

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

0. 1^{- 2} = \frac{1}{0. 1 ^{2}}

= \frac{1}{8} \cdot \frac{1}{0. 1 ^{2}}

0. 1^{2} = 0.01

= \frac{1}{8} \cdot \frac{1}{0.01}

Divide the numbers:

\frac{1}{0.01} = 100

= \frac{1}{8} \cdot 100

\frac{1}{8} \cdot 100 = \frac{25}{2}

= \frac{25}{2}

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Frequently Asked Questions (FAQ)

What is 1/8 0.1^{-2} ?
The solution to 1/8 0.1^{-2} is 25/2