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Popular >

simplify 8pi*10^{-7}

Solution

simplify

8 π \cdot 1 0^{- 7}

Solution

\frac{π}{1250000}

+1

Decimal Notation

2.51327 E - 6

Solution steps

8 π 1 0^{- 7}

Apply exponent rule:

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

= 8 π \frac{1}{1 0 ^{7}}

Multiply fractions:

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

= \frac{1 \cdot 8 π}{1 0 ^{7}}

Multiply the numbers:

1 \cdot 8 = 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}

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Frequently Asked Questions (FAQ)

What is 8pi*10^{-7} ?
The solution to 8pi*10^{-7} is pi/(1250000)