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Popular >

simplify 5(0.1)^{-2}

Solution

simplify

5 (0.1)^{- 2}

Solution

500

Solution steps

5 \cdot 0. 1^{- 2}

Apply exponent rule:

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

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

= 5 \cdot \frac{1}{0. 1 ^{2}}

0. 1^{2} = 0.01

= 5 \cdot \frac{1}{0.01}

Divide the numbers:

\frac{1}{0.01} = 100

= 5 \cdot 100

Multiply the numbers:

5 \cdot 100 = 500

= 500

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Frequently Asked Questions (FAQ)

What is 5(0.1)^{-2} ?
The solution to 5(0.1)^{-2} is 500