What is 8.854\times 10^{-12}\times (0.1)/(0.0005) ?

The solution to 8.854\times 10^{-12}\times (0.1)/(0.0005) is (4427)/(5^{13)*2048}

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simplify 8.854\times 10^{-12}\times (0.1)/(0.0005)

simplify

8.854 \cdot 1 0^{- 12} \cdot \frac{0.1}{0.0005}

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

Decimal Notation

1.7708 E - 9

Solution steps

8.854 \cdot 1 0^{- 12} \cdot \frac{0.1}{0.0005}

\frac{0.1}{0.0005} = \frac{1}{0.005}

= 8.854 \cdot 1 0^{- 12} \cdot \frac{1}{0.005}

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{1}{0.005}

Divide the numbers:

\frac{1}{0.005} = 200

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

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

f (x) = arccot (sin (x)) x

\frac{5 + x + 9}{3 - x}

e^{3 t} \cdot (- 2) e^{- 2 t}

x^{7 x}

(2 x^{4}) (7 x)

What is 8.854\times 10^{-12}\times (0.1)/(0.0005) ?
The solution to 8.854\times 10^{-12}\times (0.1)/(0.0005) is (4427)/(5^{13)*2048}