What is e^{-2*10000*0.02^2} ?

The solution to e^{-2*10000*0.02^2} is 0.00033…

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simplify e^{-2100000.02^2}

simplify

e^{- 2 \cdot 10000 \cdot 0.0 2^{2}}

0.00033 \dots

Solution steps

e^{- 2 \cdot 10000 \cdot 0.0 2^{2}}

Apply exponent rule:

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

= \frac{1}{e ^{2 \cdot 10000 \cdot 0.0 2^{2}}}

Multiply the numbers:

2 \cdot 10000 = 20000

= \frac{1}{e ^{20000 \cdot 0.0 2^{2}}}

e^{20000 \cdot 0.0 2^{2}} = e^{8}

= \frac{1}{e ^{8}}

Convert element to a decimal form

e^{8} = 2980.95798 \dots

= \frac{1}{2980.95798 \dots}

Divide the numbers:

\frac{1}{2980.95798 \dots} = 0.00033 \dots

= 0.00033 \dots

20000 e^{- 0.4 (3)}

e^{(- 2.078)} \cdot 40

28197.47 (1.0 8^{5} - 1)^{- 1}

- e^{- x} \times x

reso l v er (x^{- 1} + 3)^{3}