What is 200/1*8.854*10^{-12} ?

The solution to 200/1*8.854*10^{-12} is (4427)/(5^{13)*2048}

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simplify 200/18.85410^{-12}

simplify

\frac{200}{1} \cdot 8.854 \cdot 1 0^{- 12}

\frac{4427}{5 ^{13} \cdot 2048}

Decimal Notation

1.7708 E - 9

Solution steps

\frac{200}{1} \cdot 8.854 \cdot 1 0^{- 12}

Apply exponent rule:

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

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

= \frac{200}{1} \cdot 8.854 \cdot \frac{1}{1 0 ^{12}}

Divide the numbers:

\frac{200}{1} = 200

= 200 \cdot 8.854 \cdot \frac{1}{1 0 ^{12}}

200 \cdot 8.854 \cdot \frac{1}{1 0 ^{12}} = \frac{1770.8}{1 0 ^{12}}

= \frac{1770.8}{1 0 ^{12}}

\frac{1770.8}{1 0 ^{12}} = \frac{17708}{10 \cdot 1 0 ^{12}}

= \frac{17708}{10 \cdot 1 0 ^{12}}

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

= \frac{17708}{1 0 ^{13}}

Factor

17708 : 2^{2} \cdot 4427

= \frac{2 ^{2} \cdot 4427}{1 0 ^{13}}

Factor

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

= \frac{2 ^{2} \cdot 4427}{2 ^{13} \cdot 5 ^{13}}

\frac{2 ^{2}}{2 ^{13}} = \frac{1}{2 ^{11}}

= \frac{4427}{2 ^{11} \cdot 5 ^{13}}

2^{11} = 2048

= \frac{4427}{5 ^{13} \cdot 2048}

8.85 4^{- 425.5}

e^{- t} (e^{t} - 1)

x e^{3} x

- e^{- 3} \cdot 0.3

\frac{1}{2} x^{2} y^{2}

What is 200/1*8.854*10^{-12} ?
The solution to 200/1*8.854*10^{-12} is (4427)/(5^{13)*2048}