What is e^{-0.095(4)}(0.1) ?

The solution to e^{-0.095(4)}(0.1) is 0.06838…

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simplify e^{-0.095(4)}(0.1)

simplify

e^{- 0.095 (4)} (0.1)

0.06838 \dots

Solution steps

e^{- 0.095 (4)} (0.1)

Apply exponent rule:

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

= 0.1 \cdot \frac{1}{e ^{4 \cdot 0.095}}

Multiply the numbers:

0.095 \cdot 4 = 0.38

= 0.1 \cdot \frac{1}{e ^{0.38}}

Multiply fractions:

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

= \frac{1 \cdot 0.1}{e ^{0.38}}

Multiply the numbers:

1 \cdot 0.1 = 0.1

= \frac{0.1}{e ^{0.38}}

e^{0.38} = 1.46228 \dots

= \frac{0.1}{1.46228 \dots}

Divide the numbers:

\frac{0.1}{1.46228 \dots} = 0.06838 \dots

= 0.06838 \dots

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