What is e^{-19700.7*0.003} ?

The solution to e^{-19700.7*0.003} is 2.14924E-26

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simplify e^{-19700.7*0.003}

simplify

e^{- 19700.7 \cdot 0.003}

2.14924 E - 26

Solution steps

e^{- 19700.7 \cdot 0.003}

Apply exponent rule:

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

= \frac{1}{e ^{0.003 \cdot 19700.7}}

Multiply the numbers:

19700.7 \cdot 0.003 = 59.1021

= \frac{1}{e ^{59.1021}}

e^{59.1021} = 4.65282 E 25

= \frac{1}{4.65282 E 25}

Divide the numbers:

\frac{1}{4.65282 E 25} = 2.14924 E - 26

= 2.14924 E - 26

\frac{( ln ( 0.01 ) ) ^{2}}{( ln ( 0.01 ) ) ^{2} + π ^{2}}

\frac{- 160}{10}

e^{- 5.80476}

- 5000 (π (0.1)^{2}) \cdot (8.85 \cdot 1 0^{- 12})