What is 2pi(8.85*10^{-12})(5*10^{-2}) ?

The solution to 2pi(8.85*10^{-12})(5*10^{-2}) is 2.78031E-12

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simplify 2pi(8.8510^{-12})(510^{-2})

simplify

2 π (8.85 \cdot 1 0^{- 12}) (5 \cdot 1 0^{- 2})

2.78031 E - 12

Solution steps

2 π (8.85 \cdot 1 0^{- 12}) (5 \cdot 1 0^{- 2})

Apply exponent rule:

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

= 1 0^{- 2} \cdot 2 \cdot 5 \cdot 8.85 π \frac{1}{1 0 ^{12}}

Apply exponent rule:

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

= 2 \cdot 5 \cdot 8.85 π \frac{1}{1 0 ^{2}} \cdot \frac{1}{1 0 ^{12}}

Multiply fractions:

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

= 8.85 \cdot \frac{1 \cdot 1 \cdot 2 \cdot 5 π}{1 0 ^{12} \cdot 1 0 ^{2}}

\frac{1 \cdot 1 \cdot 2 π 5}{1 0 ^{12} \cdot 1 0 ^{2}} = \frac{π}{1 0 ^{13}}

= 8.85 \cdot \frac{π}{1 0 ^{13}}

Multiply fractions:

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

= \frac{π 8.85}{1 0 ^{13}}

Convert element to a decimal form

1 0^{13} = 10000000000000

= \frac{8.85 π}{10000000000000}

Multiply the numbers:

3.14159 \dots \cdot 8.85 = 27.80309 \dots

= \frac{27.80309 \dots}{10000000000000}

Divide the numbers:

\frac{27.80309 \dots}{10000000000000} = 2.78031 E - 12

= 2.78031 E - 12

e^{- t} 2 sin (4 t)

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

(1.2 \cdot x 1 0^{7}) (5 \cdot x 1 0^{- 6})

5.6 \cdot 1 0^{11} (1.6 \cdot 1 0^{(- 19)})

2 e^{- \frac{1}{2} t} sin (4 π t)

What is 2pi(8.85*10^{-12})(5*10^{-2}) ?
The solution to 2pi(8.85*10^{-12})(5*10^{-2}) is 2.78031E-12