What is 4pi*10^{-7}*2*1/(2pi*0.014) ?

The solution to 4pi*10^{-7}*2*1/(2pi*0.014) is 0.00002…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4pi10^{-7}21/(2pi0.014)

simplify

4 π \cdot 1 0^{- 7} \cdot 2 \cdot \frac{1}{2 π \cdot 0.014}

0.00002 \dots

Solution steps

4 π 1 0^{- 7} \cdot 2 \cdot \frac{1}{2 π 0.014}

Apply exponent rule:

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

= 4 \cdot 2 π \frac{1}{1 0 ^{7}} \cdot \frac{1}{2 \cdot 0.014 π}

Multiply fractions:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{1 \cdot 1 \cdot 4 π 2}{1 0 ^{7} \cdot 2 π 0.014}

Cancel the common factor:

π

= \frac{1 \cdot 1 \cdot 4 \cdot 2}{1 0 ^{7} \cdot 2 \cdot 0.014}

Cancel the common factor:

2

= \frac{1 \cdot 1 \cdot 4}{1 0 ^{7} \cdot 0.014}

Multiply the numbers:

1 \cdot 1 \cdot 4 = 4

= \frac{4}{1 0 ^{7} \cdot 0.014}

Factor

4 : 2^{2}

Factor

1 0^{7} : 2^{7} \cdot 5^{7}

= \frac{2 ^{2}}{2 ^{7} \cdot 5 ^{7} \cdot 0.014}

Cancel

\frac{2 ^{2}}{2 ^{7} \cdot 5 ^{7} \cdot 0.014} : \frac{1}{5 ^{7} \cdot 2 ^{5} \cdot 0.014}

= \frac{1}{5 ^{7} \cdot 2 ^{5} \cdot 0.014}

5^{7} \cdot 2^{5} \cdot 0.014 = 35000

= \frac{1}{35000}

Convert element to a decimal form

\frac{1}{35000} = 0.00002 \dots

= 0.00002 \dots

(e^{- y})^{n - 1}

\frac{1}{2} ln (x) e^{- x}

(6.63 \cdot 1 0^{- 34}) (\frac{3 \cdot 1 0 ^{17}}{7.56})

2 x (2 1 + x)

What is 4pi*10^{-7}*2*1/(2pi*0.014) ?
The solution to 4pi*10^{-7}*2*1/(2pi*0.014) is 0.00002…