simplify e^{-0.1*2}

Solution

simplify

e^{- 0.1 \cdot 2}

0.81873 \dots

Solution steps

e^{- 0.1 \cdot 2}

Apply exponent rule:

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

= \frac{1}{e ^{2 \cdot 0.1}}

Multiply the numbers:

0.1 \cdot 2 = 0.2

= \frac{1}{e ^{0.2}}

e^{0.2} = 1.22140 \dots

= \frac{1}{1.22140 \dots}

Divide the numbers:

\frac{1}{1.22140 \dots} = 0.81873 \dots

= 0.81873 \dots

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