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

The solution to 2*(4pi*10^{-7}) is pi/(1250000)

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simplify 2(4pi10^{-7})

simplify

2 \cdot (4 π \cdot 1 0^{- 7})

\frac{π}{1250000}

Decimal Notation

2.51327 E - 6

Solution steps

2 (4 π 1 0^{- 7})

Apply exponent rule:

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

= 2 \cdot 4 π \frac{1}{1 0 ^{7}}

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 2 \cdot 4 = 8

= \frac{8 π}{1 0 ^{7}}

Factor

8 : 2^{3}

Factor

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

= \frac{2 ^{3} π}{2 ^{7} \cdot 5 ^{7}}

Cancel

\frac{2 ^{3} π}{2 ^{7} \cdot 5 ^{7}} : \frac{π}{5 ^{7} \cdot 2 ^{4}}

= \frac{π}{5 ^{7} \cdot 2 ^{4}}

5^{7} \cdot 2^{4} = 1250000

= \frac{π}{1250000}

1 0^{\frac{1}{4}} \cdot 4 0^{\frac{1}{4}} \cdot 5^{\frac{1}{2}}

0.027 \cdot 3^{- 2}

(\frac{\frac{3}{125}}{2} - \frac{\frac{1}{25}}{2}) \cdot e^{- \frac{27}{1000} \cdot \frac{1}{3}}

3 x^{5} e^{- y}

0.05 \cdot 1 0^{- 2}