What is 0.1e^{-0.1(5)} ?

The solution to 0.1e^{-0.1(5)} is 0.06065…

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simplify 0.1e^{-0.1(5)}

simplify

0.1 e^{- 0.1 (5)}

0.06065 \dots

Solution steps

0.1 e^{- 0.1 (5)}

Apply exponent rule:

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

= 0.1 \cdot \frac{1}{e ^{5 \cdot 0.1}}

Multiply the numbers:

0.1 \cdot 5 = 0.5

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 0.1 = 0.1

= \frac{0.1}{e}

e = 1.64872 \dots

= \frac{0.1}{1.64872 \dots}

Divide the numbers:

\frac{0.1}{1.64872 \dots} = 0.06065 \dots

= 0.06065 \dots

(155) (36)

2 π \cdot 10 \cdot 1 0^{6}

- 1.27079 \cdot 1 0^{- 5}

e^{- 4 x} \cdot e^{8 x}