What is 4pi\times 10^{-7} ?

The solution to 4pi\times 10^{-7} is pi/(2500000)

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simplify 4pi\times 10^{-7}

simplify

4 π \cdot 1 0^{- 7}

\frac{π}{2500000}

Decimal Notation

1.25664 E - 6

Solution steps

4 π 1 0^{- 7}

Apply exponent rule:

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

= 4 π \frac{1}{1 0 ^{7}}

Multiply fractions:

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

= \frac{1 \cdot 4 π}{1 0 ^{7}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4 π}{1 0 ^{7}}

Factor

4 : 2^{2}

Factor

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

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

Cancel

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

= \frac{π}{5 ^{7} \cdot 2 ^{5}}

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

= \frac{π}{2500000}

(43) (23)

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