What is 8.854*10^{-12}(1/(0.004)) ?

The solution to 8.854*10^{-12}(1/(0.004)) is 4427/2000000000000

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 8.854*10^{-12}(1/(0.004))

simplify

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

\frac{4427}{2000000000000}

Decimal Notation

2.2135 E - 9

Solution steps

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

Apply rule:

(a) = a

(\frac{1}{0.004}) = \frac{1}{0.004}

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

Divide the numbers:

\frac{1}{0.004} = 250

= 8.854 \cdot \frac{1}{1 0 ^{12}} \cdot 250

Multiply the numbers:

8.854 \cdot 250 = 2213.5

= 2213.5 \cdot \frac{1}{1 0 ^{12}}

2213.5 \cdot \frac{1}{1 0 ^{12}} = \frac{2213.5}{1 0 ^{12}}

= \frac{2213.5}{1 0 ^{12}}

\frac{2213.5}{1 0 ^{12}} = \frac{22135}{10 \cdot 1 0 ^{12}}

= \frac{22135}{10 \cdot 1 0 ^{12}}

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

= \frac{22135}{1 0 ^{13}}

Factor the number:

22135 = 5 \cdot 4427

= \frac{5 \cdot 4427}{1 0 ^{13}}

Factor

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

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

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

= \frac{4427}{5 ^{12} \cdot 2 ^{13}}

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

= \frac{4427}{2000000000000}

e^{2 y} \cdot e^{3 x}

e^{- 5 l n ∣ x ∣}

(2 x) (5 x^{2})

k^{3} \cdot c^{3}

What is 8.854*10^{-12}(1/(0.004)) ?
The solution to 8.854*10^{-12}(1/(0.004)) is 4427/2000000000000