What is (4pi*10^{-7})(3.83*10^{-4}) ?

The solution to (4pi*10^{-7})(3.83*10^{-4}) is 4.81292E-10

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simplify (4pi10^{-7})(3.8310^{-4})

simplify

(4 π \cdot 1 0^{- 7}) (3.83 \cdot 1 0^{- 4})

4.81292 E - 10

Solution steps

(4 π 1 0^{- 7}) (3.83 \cdot 1 0^{- 4})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

1 0^{- 7} \cdot 1 0^{- 4} = 1 0^{- 7 - 4}

= 4 π 3.83 \cdot 1 0^{- 7 - 4}

Subtract the numbers:

- 7 - 4 = - 11

= 4 π 3.83 \cdot 1 0^{- 11}

Apply exponent rule:

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

1 0^{- 11} = \frac{1}{1 0 ^{11}}

= 4 \cdot 3.83 π \frac{1}{1 0 ^{11}}

Multiply fractions:

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

= 3.83 \cdot \frac{1 \cdot 4 π}{1 0 ^{11}}

\frac{1 \cdot 4 π}{1 0 ^{11}} = \frac{π}{25000000000}

= 3.83 \cdot \frac{π}{25000000000}

Multiply fractions:

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

= \frac{π 3.83}{25000000000}

Multiply the numbers:

3.14159 \dots \cdot 3.83 = 12.03229 \dots

= \frac{12.03229 \dots}{25000000000}

Divide the numbers:

\frac{12.03229 \dots}{25000000000} = 4.81292 E - 10

= 4.81292 E - 10

\frac{1}{2 ^{x} \cdot ln ( 2 )} \cdot \frac{1}{2} \cdot (2^{x})^{2}

1.725 \cdot 1 0^{- 9} (4)

e \cdot e

e^{- t} \cdot cos (3 \cdot t)

What is (4pi*10^{-7})(3.83*10^{-4}) ?
The solution to (4pi*10^{-7})(3.83*10^{-4}) is 4.81292E-10