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Popular >

simplify 410^{-12}pi

Solution

simplify

4 \cdot 1 0^{- 12} \cdot π

Solution

\frac{π}{250000000000}

+1

Decimal Notation

1.25664 E - 11

Solution steps

4 \cdot 1 0^{- 12} π

Apply exponent rule:

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

= 4 π \frac{1}{1 0 ^{12}}

Multiply fractions:

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

= \frac{1 \cdot 4 π}{1 0 ^{12}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4 π}{1 0 ^{12}}

Factor

4 : 2^{2}

Factor

1 0^{12} : 2^{12} \cdot 5^{12}

= \frac{2 ^{2} π}{2 ^{12} \cdot 5 ^{12}}

Cancel

\frac{2 ^{2} π}{2 ^{12} \cdot 5 ^{12}} : \frac{π}{5 ^{12} \cdot 2 ^{10}}

= \frac{π}{5 ^{12} \cdot 2 ^{10}}

5^{12} \cdot 2^{10} = 250000000000

= \frac{π}{250000000000}

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Frequently Asked Questions (FAQ)

What is 4*10^{-12}*pi ?
The solution to 4*10^{-12}*pi is pi/(250000000000)