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

The solution to 4pi*10^{-7}*4/(2*pi*2) is 1/2500000

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simplify 4pi10^{-7}4/(2pi2)

simplify

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

\frac{1}{2500000}

Decimal Notation

0.0000004

Solution steps

4 π 1 0^{- 7} \cdot \frac{4}{2 π 2}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Cancel the common factor:

π

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

Multiply the numbers:

1 \cdot 4 \cdot 4 = 16

= \frac{16}{1 0 ^{7} \cdot 2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{16}{1 0 ^{7} \cdot 4}

Divide the numbers:

\frac{16}{4} = 4

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

Factor

4 : 2^{2}

Factor

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

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

Cancel

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

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

5^{7} \cdot 2^{5} = 2500000

= \frac{1}{2500000}

123 He ll ooHe ll a o

0.78 7^{- 1} \cdot 0.006408

(2 s^{8} t^{7} u v^{2}) (5 s^{8} t^{6} u^{3} v)

(1.6 \cdot 1 0^{- 19}) \cdot 3.27

4.18 e^{- \frac{0.5}{1.987 \cdot 1 0 ^{- 3}}}

What is 4pi*10^{-7}*4/(2*pi*2) ?
The solution to 4pi*10^{-7}*4/(2*pi*2) is 1/2500000