What is 8.854187817*10^{-12}*((0.1)/(6*10^{-4)}) ?

The solution to 8.854187817*10^{-12}*((0.1)/(6*10^{-4)}) is (2951395939)/(2000000*10^{12)}

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simplify 8.85418781710^{-12}((0.1)/(6*10^{-4)})

simplify

8.854187817 \cdot 1 0^{- 12} \cdot (\frac{0.1}{6 \cdot 1 0 ^{- 4}})

\frac{2951395939}{2000000 \cdot 1 0 ^{12}}

Decimal Notation

1.4757 E - 9

Solution steps

8.85418 \dots \cdot 1 0^{- 12} (\frac{0.1}{6 \cdot 1 0 ^{- 4}})

\frac{0.1}{6 \cdot 1 0 ^{- 4}} = \frac{1}{60 \cdot 1 0 ^{- 4}}

= 8.85418 \dots \cdot 1 0^{- 12} \cdot \frac{1}{60 \cdot 1 0 ^{- 4}}

Apply exponent rule:

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

1 0^{- 12} = \frac{1}{1 0 ^{12}}

= 8.85418 \dots \cdot \frac{1}{1 0 ^{12}} \cdot \frac{1}{60 \cdot 1 0 ^{- 4}}

\frac{1}{60 \cdot 1 0 ^{- 4}} = \frac{500}{3}

= 8.85418 \dots \cdot \frac{1}{1 0 ^{12}} \cdot \frac{500}{3}

8.85418 \dots = \frac{8854187817}{1000000000}

= \frac{8854187817}{1000000000} \cdot \frac{1}{1 0 ^{12}} \cdot \frac{500}{3}

\frac{8854187817}{1000000000} \cdot \frac{1}{1 0 ^{12}} \cdot \frac{500}{3} = \frac{2951395939}{2000000 \cdot 1 0 ^{12}}

= \frac{2951395939}{2000000 \cdot 1 0 ^{12}}

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What is 8.854187817*10^{-12}*((0.1)/(6*10^{-4)}) ?
The solution to 8.854187817*10^{-12}*((0.1)/(6*10^{-4)}) is (2951395939)/(2000000*10^{12)}