What is 8.854*10^{-12}*(35*10^{-4})/(0.003) ?

The solution to 8.854*10^{-12}*(35*10^{-4})/(0.003) is (30989)/(3000*10^{12)}

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simplify 8.85410^{-12}(35*10^{-4})/(0.003)

simplify

8.854 \cdot 1 0^{- 12} \cdot \frac{35 \cdot 1 0 ^{- 4}}{0.003}

\frac{30989}{3000 \cdot 1 0 ^{12}}

Decimal Notation

1.03297 E - 11

Solution steps

8.854 \cdot 1 0^{- 12} \cdot \frac{35 \cdot 1 0 ^{- 4}}{0.003}

Apply exponent rule:

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

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

= 8.854 \cdot \frac{1}{1 0 ^{12}} \cdot \frac{35 \cdot 1 0 ^{- 4}}{0.003}

\frac{35 \cdot 1 0 ^{- 4}}{0.003} = \frac{7}{2000 \cdot 0.003}

= 8.854 \cdot \frac{1}{1 0 ^{12}} \cdot \frac{7}{2000 \cdot 0.003}

8.854 \cdot \frac{1}{1 0 ^{12}} \cdot \frac{7}{2000 \cdot 0.003} = \frac{61.978}{1 0 ^{12} \cdot 6}

= \frac{61.978}{1 0 ^{12} \cdot 6}

\frac{61.978}{1 0 ^{12} \cdot 6} = \frac{61978}{6000 \cdot 1 0 ^{12}}

= \frac{61978}{6000 \cdot 1 0 ^{12}}

Factor the number:

61978 = 2 \cdot 30989

= \frac{2 \cdot 30989}{6000 \cdot 1 0 ^{12}}

Factor the number:

6000 = 2 \cdot 3000

= \frac{2 \cdot 30989}{2 \cdot 3000 \cdot 1 0 ^{12}}

Cancel the common factor:

2

= \frac{30989}{3000 \cdot 1 0 ^{12}}

(4 \cdot 1 0^{8}) (2.1 \cdot 1 0^{5})

e^{- 0.01} \cdot e^{- 0.01}

3.911 e^{- 2}

0.8 \cdot 1200 \cdot 1 0^{- 6}

What is 8.854*10^{-12}*(35*10^{-4})/(0.003) ?
The solution to 8.854*10^{-12}*(35*10^{-4})/(0.003) is (30989)/(3000*10^{12)}