What is 100*4pi*8.85*10^{-12}*0.15 ?

The solution to 100*4pi*8.85*10^{-12}*0.15 is 1.66819E-9

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simplify 1004pi8.8510^{-12}0.15

simplify

100 \cdot 4 π \cdot 8.85 \cdot 1 0^{- 12} \cdot 0.15

1.66819 E - 9

Solution steps

100 \cdot 4 π 8.85 \cdot 1 0^{- 12} \cdot 0.15

Apply exponent rule:

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

= 100 \cdot 4 \cdot 0.15 \cdot 8.85 π \frac{1}{1 0 ^{12}}

Multiply fractions:

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

= 0.15 \cdot 8.85 \cdot \frac{1 \cdot 100 \cdot 4 π}{1 0 ^{12}}

\frac{1 \cdot 100 \cdot 4 π}{1 0 ^{12}} = \frac{π}{2500000000}

= 0.15 \cdot 8.85 \cdot \frac{π}{2500000000}

Multiply the numbers:

8.85 \cdot 0.15 = 1.3275

= 1.3275 \cdot \frac{π}{2500000000}

Multiply fractions:

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

= \frac{π 1.3275}{2500000000}

Multiply the numbers:

3.14159 \dots \cdot 1.3275 = 4.17046 \dots

= \frac{4.17046 \dots}{2500000000}

Divide the numbers:

\frac{4.17046 \dots}{2500000000} = 1.66819 E - 9

= 1.66819 E - 9

5 e^{- \frac{2}{3}}

4000 \cdot e^{- 0.025 \cdot 20}

(x - 1)^{2} (x + 2) (x - 3)^{2}

What is 100*4pi*8.85*10^{-12}*0.15 ?
The solution to 100*4pi*8.85*10^{-12}*0.15 is 1.66819E-9