What is 2pi^{8.85}*10^{-12} ?

The solution to 2pi^{8.85}*10^{-12} is 5.02119E-8

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simplify 2pi^{8.85}*10^{-12}

simplify

2 π^{8.85} \cdot 1 0^{- 12}

5.02119 E - 8

Solution steps

2 π^{8.85} \cdot 1 0^{- 12}

Apply exponent rule:

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

= 2 π^{8.85} \frac{1}{1 0 ^{12}}

Multiply fractions:

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

= \frac{1 \cdot 2 π ^{8.85}}{1 0 ^{12}}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2 π ^{8.85}}{1 0 ^{12}}

Factor

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

= \frac{2 π ^{8.85}}{2 ^{12} \cdot 5 ^{12}}

Cancel the common factor:

2

= \frac{π ^{8.85}}{5 ^{12} \cdot 2 ^{11}}

5^{12} \cdot 2^{11} = 500000000000

= \frac{π ^{8.85}}{500000000000}

π^{8.85} = 25105.93345 \dots

= \frac{25105.93345 \dots}{500000000000}

Divide the numbers:

\frac{25105.93345 \dots}{500000000000} = 5.02119 E - 8

= 5.02119 E - 8

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