What is 0.1e^{-0.1*12} ?

The solution to 0.1e^{-0.1*12} is 0.03011…

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simplify 0.1e^{-0.1*12}

simplify

0.1 e^{- 0.1 \cdot 12}

0.03011 \dots

Solution steps

0.1 e^{- 0.1 \cdot 12}

Apply exponent rule:

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

= 0.1 \cdot \frac{1}{e ^{12 \cdot 0.1}}

Multiply the numbers:

0.1 \cdot 12 = 1.2

= 0.1 \cdot \frac{1}{e ^{1.2}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 0.1}{e ^{1.2}}

Multiply the numbers:

1 \cdot 0.1 = 0.1

= \frac{0.1}{e ^{1.2}}

e^{1.2} = 3.32011 \dots

= \frac{0.1}{3.32011 \dots}

Divide the numbers:

\frac{0.1}{3.32011 \dots} = 0.03011 \dots

= 0.03011 \dots

1 0^{- 3.671} \cdot 100

1 \cdot e^{- 9}

e^{- e^{t}}