What is (500(2*pi*0.04*8.854*10^{-12}))*0.009 ?

The solution to (500(2*pi*0.04*8.854*10^{-12}))*0.009 is 1.00136E-11

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simplify (500(2pi0.048.85410^{-12}))*0.009

simplify

(500 (2 \cdot π \cdot 0.04 \cdot 8.854 \cdot 1 0^{- 12})) \cdot 0.009

1.00136 E - 11

Solution steps

(500 (2 π 0.04 \cdot 8.854 \cdot 1 0^{- 12})) \cdot 0.009

Apply exponent rule:

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

= 500 \cdot 2 \cdot 0.04 \cdot 0.009 \cdot 8.854 π \frac{1}{1 0 ^{12}}

Multiply fractions:

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

= 0.04 \cdot 0.009 \cdot 8.854 \cdot \frac{1 \cdot 500 \cdot 2 π}{1 0 ^{12}}

\frac{1 \cdot 500 \cdot 2 π}{1 0 ^{12}} = \frac{π}{1000000000}

= 0.04 \cdot 0.009 \cdot 8.854 \cdot \frac{π}{1000000000}

Multiply the numbers:

0.04 \cdot 8.854 \cdot 0.009 = 0.00318744

= 0.00318744 \cdot \frac{π}{1000000000}

Multiply fractions:

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

= \frac{π 0.00318744}{1000000000}

Multiply the numbers:

3.14159 \dots \cdot 0.00318744 = 0.01001 \dots

= \frac{0.01001 \dots}{1000000000}

Divide the numbers:

\frac{0.01001 \dots}{1000000000} = 1.00136 E - 11

= 1.00136 E - 11

e^{- l n (x - y)}

(4.2 x 1 0^{6}) (2 x 1 0^{- 4})

1.588 \cdot 1 0^{- 1}

e^{3 x} e^{- 2 x}

What is (500(2*pi*0.04*8.854*10^{-12}))*0.009 ?
The solution to (500(2*pi*0.04*8.854*10^{-12}))*0.009 is 1.00136E-11