What is e^{-(2-0.02067)^2} ?

The solution to e^{-(2-0.02067)^2} is 0.01988…

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simplify e^{-(2-0.02067)^2}

simplify

e^{- (2 - 0.02067)^{2}}

0.01988 \dots

Solution steps

e^{- (2 - 0.02067)^{2}}

Apply exponent rule:

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

= \frac{1}{e ^{(2 - 0.02067)^{2}}}

Subtract the numbers:

2 - 0.02067 = 1.97933

= \frac{1}{e ^{1.9793 3^{2}}}

1.9793 3^{2} = 3.91774 \dots

= \frac{1}{e ^{3.91774 \dots}}

e^{3.91774 \dots} = 50.28703 \dots

= \frac{1}{50.28703 \dots}

Divide the numbers:

\frac{1}{50.28703 \dots} = 0.01988 \dots

= 0.01988 \dots

2.15 e^{- 2.1532900000000 \dots}

e^{- 0.00001 x}

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