What is 8.854*10^{-12}(3/(0.004)) ?

The solution to 8.854*10^{-12}(3/(0.004)) is 13281/2000000000000

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simplify 8.854*10^{-12}(3/(0.004))

simplify

8.854 \cdot 1 0^{- 12} (\frac{3}{0.004})

\frac{13281}{2000000000000}

Decimal Notation

6.6405 E - 9

Solution steps

8.854 \cdot 1 0^{- 12} (\frac{3}{0.004})

Apply rule:

(a) = a

(\frac{3}{0.004}) = \frac{3}{0.004}

= 8.854 \cdot 1 0^{- 12} \cdot \frac{3}{0.004}

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{3}{0.004}

Divide the numbers:

\frac{3}{0.004} = 750

= 8.854 \cdot \frac{1}{1 0 ^{12}} \cdot 750

Multiply the numbers:

8.854 \cdot 750 = 6640.5

= 6640.5 \cdot \frac{1}{1 0 ^{12}}

6640.5 \cdot \frac{1}{1 0 ^{12}} = \frac{6640.5}{1 0 ^{12}}

= \frac{6640.5}{1 0 ^{12}}

\frac{6640.5}{1 0 ^{12}} = \frac{66405}{10 \cdot 1 0 ^{12}}

= \frac{66405}{10 \cdot 1 0 ^{12}}

10 \cdot 1 0^{12} = 1 0^{13}

= \frac{66405}{1 0 ^{13}}

Factor the number:

66405 = 5 \cdot 13281

= \frac{5 \cdot 13281}{1 0 ^{13}}

Factor

1 0^{13} : 5^{13} \cdot 2^{13}

= \frac{5 \cdot 13281}{5 ^{13} \cdot 2 ^{13}}

\frac{5}{5 ^{13}} = \frac{1}{5 ^{12}}

= \frac{13281}{5 ^{12} \cdot 2 ^{13}}

5^{12} \cdot 2^{13} = 2000000000000

= \frac{13281}{2000000000000}

e^{(- 2 t)} sin (2 t) cosh (t)

e^{- (x - a)}

100 e^{- 0.023 (10)}

(e^{2 x})^{- 1} (- \frac{1}{2} e^{4 x} + c)

1.96 \cdot 1 0^{- 3} \cdot 1.1127

What is 8.854*10^{-12}(3/(0.004)) ?
The solution to 8.854*10^{-12}(3/(0.004)) is 13281/2000000000000