What is 10*e^{-5(0.1)} ?

The solution to 10*e^{-5(0.1)} is 6.06530…

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simplify 10*e^{-5(0.1)}

simplify

10 \cdot e^{- 5 (0.1)}

6.06530 \dots

Solution steps

10 e^{- 5 (0.1)}

Apply exponent rule:

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

= 10 \cdot \frac{1}{e ^{5 \cdot 0.1}}

Multiply the numbers:

5 \cdot 0.1 = 0.5

= 10 \cdot \frac{1}{e}

Multiply fractions:

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

= \frac{1 \cdot 10}{e}

Multiply the numbers:

1 \cdot 10 = 10

= \frac{10}{e}

e = 1.64872 \dots

= \frac{10}{1.64872 \dots}

Divide the numbers:

\frac{10}{1.64872 \dots} = 6.06530 \dots

= 6.06530 \dots

t e^{- 2 t} u

(40 \cdot 1 0^{- 6}) (56) (0.39074)

104 \cdot (1.04)^{- 5}

- 2 e^{- 0^{2}} (0)

e^{- \frac{b}{0.377}}