What is 2/(pi*(0.5*10^{-3))^2}*1.6*10^{-8} ?

The solution to 2/(pi*(0.5*10^{-3))^2}*1.6*10^{-8} is 0.04074…

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simplify 2/(pi(0.510^{-3))^2}1.610^{-8}

simplify

\frac{2}{π \cdot ( 0.5 \cdot 1 0 ^{- 3} ) ^{2}} \cdot 1.6 \cdot 1 0^{- 8}

0.04074 \dots

Solution steps

\frac{2}{π ( 0.5 \cdot 1 0 ^{- 3} ) ^{2}} \cdot 1.6 \cdot 1 0^{- 8}

Apply exponent rule:

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

= 1.6 \cdot \frac{1}{1 0 ^{8}} \cdot \frac{2}{π ( 1 0 ^{- 3} \cdot 0.5 ) ^{2}}

\frac{2}{π ( 0.5 \cdot 1 0 ^{- 3} ) ^{2}} = \frac{2}{0.000 5 ^{2} π}

= 1.6 \cdot \frac{1}{1 0 ^{8}} \cdot \frac{2}{0.000 5 ^{2} π}

Multiply fractions:

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

= 1.6 \cdot \frac{2 \cdot 1}{1 0 ^{8} \cdot 0.000 5 ^{2} π}

\frac{2 \cdot 1}{π 0.000 5 ^{2} \cdot 1 0 ^{8}} = 0.02546 \dots

= 0.02546 \dots \cdot 1.6

Multiply the numbers:

1.6 \cdot 0.02546 \dots = 0.04074 \dots

= 0.04074 \dots

(e^{x} \cdot (\frac{1}{x ^{2} + 1})) (x e^{x})

(4.3 \cdot 1 0^{- 3}) (14 \cdot 1 0^{- 3})

5.67 \cdot (1 0^{- 8})

(e^{- 0.1}) (e^{- 0.1})

(7.2 x 1 0^{- 7}) (6 x 1 0^{- 3})

What is 2/(pi*(0.5*10^{-3))^2}*1.6*10^{-8} ?
The solution to 2/(pi*(0.5*10^{-3))^2}*1.6*10^{-8} is 0.04074…