What is 8.854*10^{-12}((0.00025)/(0.006)) ?

The solution to 8.854*10^{-12}((0.00025)/(0.006)) is (4427)/(10^{12)*12000}

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simplify 8.854*10^{-12}((0.00025)/(0.006))

simplify

8.854 \cdot 1 0^{- 12} (\frac{0.00025}{0.006})

\frac{4427}{1 0 ^{12} \cdot 12000}

Decimal Notation

3.68917 E - 13

Solution steps

8.854 \cdot 1 0^{- 12} (\frac{0.00025}{0.006})

\frac{0.00025}{0.006} = \frac{25}{600}

= 8.854 \cdot 1 0^{- 12} \cdot \frac{25}{600}

8.854 = \frac{4427}{500}

= \frac{4427}{500} \cdot 1 0^{- 12} \cdot \frac{25}{600}

Apply exponent rule:

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

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

= \frac{4427}{500} \cdot \frac{1}{1 0 ^{12}} \cdot \frac{25}{600}

Cancel the numbers:

\frac{25}{600} = \frac{1}{24}

= \frac{4427}{500} \cdot \frac{1}{1 0 ^{12}} \cdot \frac{1}{24}

\frac{4427}{500} \cdot \frac{1}{1 0 ^{12}} \cdot \frac{1}{24} = \frac{4427}{1 0 ^{12} \cdot 12000}

= \frac{4427}{1 0 ^{12} \cdot 12000}

40 (1.661 \cdot 1 0^{- 27})

\frac{1}{( 2 π 4.32 )} e^{(- \frac{1}{2} (0.41481))}

e^{- 3 x} \cdot (e^{- 3 x} - 3 x e^{- 3 x})

3 (c i s \frac{π}{4}) \cdot 5 (c i s \frac{π}{2})

e^{- x} (2 x - x^{2})

What is 8.854*10^{-12}((0.00025)/(0.006)) ?
The solution to 8.854*10^{-12}((0.00025)/(0.006)) is (4427)/(10^{12)*12000}