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Popular >

simplify 0.9e^{-0.9}

Solution

simplify

0.9 e^{- 0.9}

Solution

0.36591 \dots

Solution steps

0.9 e^{- 0.9}

Apply exponent rule:

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

= 0.9 \cdot \frac{1}{e ^{0.9}}

Multiply fractions:

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

= \frac{1 \cdot 0.9}{e ^{0.9}}

Multiply the numbers:

1 \cdot 0.9 = 0.9

= \frac{0.9}{e ^{0.9}}

e^{0.9} = 2.45960 \dots

= \frac{0.9}{2.45960 \dots}

Divide the numbers:

\frac{0.9}{2.45960 \dots} = 0.36591 \dots

= 0.36591 \dots

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Frequently Asked Questions (FAQ)

What is 0.9e^{-0.9} ?
The solution to 0.9e^{-0.9} is 0.36591…