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

The solution to 4pi*10^{-7}(10) is pi/(250000)

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simplify 4pi*10^{-7}(10)

simplify

4 π \cdot 1 0^{- 7} (10)

\frac{π}{250000}

Decimal Notation

0.00001 \dots

Solution steps

4 π 1 0^{- 7} (10)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

1 0^{- 7} \cdot 10 = 1 0^{- 7 + 1}

= 4 π 1 0^{- 7 + 1}

Add/Subtract the numbers:

- 7 + 1 = - 6

= 4 π 1 0^{- 6}

Apply exponent rule:

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

1 0^{- 6} = \frac{1}{1 0 ^{6}}

= 4 π \frac{1}{1 0 ^{6}}

Multiply fractions:

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

= \frac{1 \cdot 4 π}{1 0 ^{6}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4 π}{1 0 ^{6}}

Factor

4 : 2^{2}

Factor

1 0^{6} : 2^{6} \cdot 5^{6}

= \frac{2 ^{2} π}{2 ^{6} \cdot 5 ^{6}}

Cancel

\frac{2 ^{2} π}{2 ^{6} \cdot 5 ^{6}} : \frac{π}{5 ^{6} \cdot 2 ^{4}}

= \frac{π}{5 ^{6} \cdot 2 ^{4}}

5^{6} \cdot 2^{4} = 250000

= \frac{π}{250000}

- 0.05 e^{- 0.05}

(x - 1)^{2} \cdot 2 (x + 1)^{2}

u^{x}