What is 0.1e^{-0.1(3)} ?

The solution to 0.1e^{-0.1(3)} is 0.07408…

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simplify 0.1e^{-0.1(3)}

simplify

0.1 e^{- 0.1 (3)}

0.07408 \dots

Solution steps

0.1 e^{- 0.1 (3)}

Apply exponent rule:

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

= 0.1 \cdot \frac{1}{e ^{3 \cdot 0.1}}

Multiply the numbers:

0.1 \cdot 3 = 0.3

= 0.1 \cdot \frac{1}{e ^{0.3}}

Multiply fractions:

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

= \frac{1 \cdot 0.1}{e ^{0.3}}

Multiply the numbers:

1 \cdot 0.1 = 0.1

= \frac{0.1}{e ^{0.3}}

e^{0.3} = 1.34985 \dots

= \frac{0.1}{1.34985 \dots}

Divide the numbers:

\frac{0.1}{1.34985 \dots} = 0.07408 \dots

= 0.07408 \dots

x e^{- y x}

225

- 3.3 (1 0^{- 5}) (12)

e^{- 0.692}