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Popular >

simplify e^{-(0.1)^2}

Solution

simplify

e^{- (0.1)^{2}}

Solution

0.99004 \dots

Solution steps

e^{- (0.1)^{2}}

Apply exponent rule:

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

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

0. 1^{2} = 0.01

= \frac{1}{e ^{0.01}}

e^{0.01} = 1.01005 \dots

= \frac{1}{1.01005 \dots}

Divide the numbers:

\frac{1}{1.01005 \dots} = 0.99004 \dots

= 0.99004 \dots

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Frequently Asked Questions (FAQ)

What is e^{-(0.1)^2} ?
The solution to e^{-(0.1)^2} is 0.99004…