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Popular >

simplify |-1|e^{-(-1)^2}

Solution

simplify

∣ - 1 ∣ e^{- (- 1)^{2}}

Solution

\frac{1}{e}

+1

Decimal Notation

0.36787 \dots

Solution steps

∣ - 1 ∣ e^{- (- 1)^{2}}

Apply exponent rule:

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

= \frac{1}{e ^{(- 1)^{2}}} ∣ - 1 ∣

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

= \frac{1}{e} ∣ - 1 ∣

Apply absolute rule:

∣ - a ∣ = a

∣ - 1 ∣ = 1

= 1 \cdot \frac{1}{e}

Multiply:

1 \cdot \frac{1}{e} = \frac{1}{e}

= \frac{1}{e}

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Frequently Asked Questions (FAQ)

What is |-1|e^{-(-1)^2} ?
The solution to |-1|e^{-(-1)^2} is 1/e