What is 2.8*8.85*10^{-12}*(0.000625)/(0.003) ?

The solution to 2.8*8.85*10^{-12}*(0.000625)/(0.003) is (413)/(80*10^{12)}

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simplify 2.88.8510^{-12}*(0.000625)/(0.003)

simplify

2.8 \cdot 8.85 \cdot 1 0^{- 12} \cdot \frac{0.000625}{0.003}

\frac{413}{80 \cdot 1 0 ^{12}}

Decimal Notation

5.1625 E - 12

Solution steps

2.8 \cdot 8.85 \cdot 1 0^{- 12} \cdot \frac{0.000625}{0.003}

\frac{0.000625}{0.003} = \frac{625}{3000}

= 2.8 \cdot 8.85 \cdot 1 0^{- 12} \cdot \frac{625}{3000}

2.8 = \frac{14}{5}

= \frac{14}{5} \cdot 8.85 \cdot 1 0^{- 12} \cdot \frac{625}{3000}

8.85 = \frac{177}{20}

= \frac{14}{5} \cdot \frac{177}{20} \cdot 1 0^{- 12} \cdot \frac{625}{3000}

Apply exponent rule:

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

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

= \frac{14}{5} \cdot \frac{177}{20} \cdot \frac{1}{1 0 ^{12}} \cdot \frac{625}{3000}

Cancel

\frac{625}{3000} : \frac{5}{24}

= \frac{14}{5} \cdot \frac{177}{20} \cdot \frac{1}{1 0 ^{12}} \cdot \frac{5}{24}

Cross-cancel common factor:

5

= \frac{14}{24} \cdot \frac{177}{20} \cdot \frac{1}{1 0 ^{12}}

Cancel

\frac{14}{24} : \frac{7}{12}

= \frac{7}{12} \cdot \frac{177}{20} \cdot \frac{1}{1 0 ^{12}}

\frac{7}{12} \cdot \frac{177}{20} \cdot \frac{1}{1 0 ^{12}} = \frac{413}{80 \cdot 1 0 ^{12}}

= \frac{413}{80 \cdot 1 0 ^{12}}

6.72 \cdot 1.9044 \cdot 1 0^{- 6}

e^{- 2 s} \frac{π}{s ^{3} - 6 s ^{2} + 12 s - 8}

680 e^{- 0.0892 t} \cdot (- 0.0892)

20 e^{- 0.5 (4)}

e^{- 23.26}

What is 2.8*8.85*10^{-12}*(0.000625)/(0.003) ?
The solution to 2.8*8.85*10^{-12}*(0.000625)/(0.003) is (413)/(80*10^{12)}