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Popular >

simplify 0.005*10^{-10}

Solution

simplify

0.005 \cdot 1 0^{- 10}

Solution

\frac{1}{200 \cdot 1 0 ^{10}}

+1

Decimal Notation

5.0 E - 13

Solution steps

0.005 \cdot 1 0^{- 10}

Apply exponent rule:

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

1 0^{- 10} = \frac{1}{1 0 ^{10}}

= 0.005 \cdot \frac{1}{1 0 ^{10}}

0.005 \cdot \frac{1}{1 0 ^{10}} = \frac{0.005}{1 0 ^{10}}

= \frac{0.005}{1 0 ^{10}}

\frac{0.005}{1 0 ^{10}} = \frac{5}{1000 \cdot 1 0 ^{10}}

= \frac{5}{1000 \cdot 1 0 ^{10}}

Cancel the numbers:

\frac{5}{1000} = \frac{1}{200}

= \frac{1}{200 \cdot 1 0 ^{10}}

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Frequently Asked Questions (FAQ)

What is 0.005*10^{-10} ?
The solution to 0.005*10^{-10} is 1/(200*10^{10)}