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Popular >

simplify 510^{-2}0.02

Solution

simplify

5 \cdot 1 0^{- 2} \cdot 0.02

Solution

0.001

Solution steps

5 \cdot 1 0^{- 2} \cdot 0.02

Multiply the numbers:

5 \cdot 0.02 = 0.1

= 0.1 \cdot 1 0^{- 2}

= 1 0^{- 2} \cdot 0.1

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{2}} \cdot 0.1

1 0^{2} = 100

= \frac{1}{100} \cdot 0.1

\frac{1}{100} \cdot 0.1 = \frac{0.1}{100}

= \frac{0.1}{100}

Divide the numbers:

\frac{0.1}{100} = 0.001

= 0.001

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Frequently Asked Questions (FAQ)

What is 5*10^{-2}*0.02 ?
The solution to 5*10^{-2}*0.02 is 0.001