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Popular >

simplify 4pi*10^{-3}

Solution

simplify

4 π \cdot 1 0^{- 3}

Solution

\frac{π}{250}

+1

Decimal Notation

0.01256 \dots

Solution steps

4 π 1 0^{- 3}

Apply exponent rule:

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

= 4 π \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 4 π}{1 0 ^{3}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4 π}{1 0 ^{3}}

Factor

4 : 2^{2}

Factor

1 0^{3} : 2^{3} \cdot 5^{3}

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

Cancel

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

= \frac{π}{5 ^{3} \cdot 2}

5^{3} \cdot 2 = 250

= \frac{π}{250}

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Frequently Asked Questions (FAQ)

What is 4pi*10^{-3} ?
The solution to 4pi*10^{-3} is pi/(250)