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Popular >

simplify e^{-(-0.5)^2}

Solution

simplify

e^{- (- 0.5)^{2}}

Solution

0.77880 \dots

Solution steps

e^{- (- 0.5)^{2}}

Apply exponent rule:

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

= \frac{1}{e ^{(- 0.5)^{2}}}

e^{(- 0.5)^{2}} = e^{0. 5^{2}}

= \frac{1}{e ^{0. 5^{2}}}

0. 5^{2} = 0.25

= \frac{1}{e ^{0.25}}

e^{0.25} = 1.28402 \dots

= \frac{1}{1.28402 \dots}

Divide the numbers:

\frac{1}{1.28402 \dots} = 0.77880 \dots

= 0.77880 \dots

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Frequently Asked Questions (FAQ)

What is e^{-(-0.5)^2} ?
The solution to e^{-(-0.5)^2} is 0.77880…