What is (4pi*8.85*10^{-12}*25*10^{-4})*0.036 ?

The solution to (4pi*8.85*10^{-12}*25*10^{-4})*0.036 is 1.00091E-14

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simplify (4pi8.8510^{-12}2510^{-4})*0.036

simplify

(4 π \cdot 8.85 \cdot 1 0^{- 12} \cdot 25 \cdot 1 0^{- 4}) \cdot 0.036

1.00091 E - 14

Solution steps

(4 π 8.85 \cdot 1 0^{- 12} \cdot 25 \cdot 1 0^{- 4}) \cdot 0.036

Apply exponent rule:

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

= 1 0^{- 4} \cdot 4 \cdot 25 \cdot 0.036 \cdot 8.85 π \frac{1}{1 0 ^{12}}

Apply exponent rule:

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

= 4 \cdot 25 \cdot 0.036 \cdot 8.85 π \frac{1}{1 0 ^{4}} \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}

= 0.036 \cdot 8.85 \cdot \frac{1 \cdot 1 \cdot 4 \cdot 25 π}{1 0 ^{12} \cdot 1 0 ^{4}}

\frac{1 \cdot 1 \cdot 4 π 25}{1 0 ^{12} \cdot 1 0 ^{4}} = \frac{π}{5 ^{14} \cdot 16384}

= 0.036 \cdot 8.85 \cdot \frac{π}{5 ^{14} \cdot 16384}

Multiply the numbers:

8.85 \cdot 0.036 = 0.3186

= 0.3186 \cdot \frac{π}{5 ^{14} \cdot 16384}

Multiply fractions:

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

= \frac{π 0.3186}{5 ^{14} \cdot 16384}

Convert element to a decimal form

5^{14} = 6103515625

= \frac{0.3186 π}{6103515625 \cdot 16384}

Multiply the numbers:

3.14159 \dots \cdot 0.3186 = 1.00091 \dots

= \frac{1.00091 \dots}{6103515625 \cdot 16384}

Multiply the numbers:

6103515625 \cdot 16384 = 1.0 E 14

= \frac{1.00091 \dots}{1.0 E 14}

Divide the numbers:

\frac{1.00091 \dots}{1.0 E 14} = 1.00091 E - 14

= 1.00091 E - 14

\frac{d}{d t} ((x) (e^{- t^{2}}))

6 e^{- 3 x} \cdot (e^{x} - 1)

e^{4} \cdot e^{5}

e^{2} \cdot e^{- x}

(x \cdot 2 x) \cdot (2 x)

What is (4pi*8.85*10^{-12}*25*10^{-4})*0.036 ?
The solution to (4pi*8.85*10^{-12}*25*10^{-4})*0.036 is 1.00091E-14