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Popular >

simplify 20004pi10^{-7}

Solution

simplify

2000 \cdot 4 π \cdot 1 0^{- 7}

Solution

\frac{π}{1250}

+1

Decimal Notation

0.00251 \dots

Solution steps

2000 \cdot 4 π 1 0^{- 7}

Apply exponent rule:

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

= 2000 \cdot 4 π \frac{1}{1 0 ^{7}}

Multiply fractions:

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

= \frac{1 \cdot 2000 \cdot 4 π}{1 0 ^{7}}

Multiply the numbers:

1 \cdot 2000 \cdot 4 = 8000

= \frac{8000 π}{1 0 ^{7}}

Factor

8000 : 2^{6} \cdot 5^{3}

Factor

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

= \frac{2 ^{6} \cdot 5 ^{3} π}{2 ^{7} \cdot 5 ^{7}}

Cancel

\frac{2 ^{6} \cdot 5 ^{3} π}{2 ^{7} \cdot 5 ^{7}} : \frac{π}{5 ^{4} \cdot 2}

= \frac{π}{5 ^{4} \cdot 2}

5^{4} \cdot 2 = 1250

= \frac{π}{1250}

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Frequently Asked Questions (FAQ)

What is 2000*4pi*10^{-7} ?
The solution to 2000*4pi*10^{-7} is pi/(1250)