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Popular >

simplify 0.1e^{-0.1}

Solution

simplify

0.1 e^{- 0.1}

Solution

0.09048 \dots

Solution steps

0.1 e^{- 0.1}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 0.1 = 0.1

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

e^{0.1} = 1.10517 \dots

= \frac{0.1}{1.10517 \dots}

Divide the numbers:

\frac{0.1}{1.10517 \dots} = 0.09048 \dots

= 0.09048 \dots

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Frequently Asked Questions (FAQ)

What is 0.1e^{-0.1} ?
The solution to 0.1e^{-0.1} is 0.09048…