What is e^{-0.8}*0.8(-1) ?

The solution to e^{-0.8}*0.8(-1) is -0.35946…

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simplify e^{-0.8}*0.8(-1)

simplify

e^{- 0.8} \cdot 0.8 (- 1)

- 0.35946 \dots

Solution steps

e^{- 0.8} \cdot 0.8 (- 1)

Apply exponent rule:

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

= (- 1) \cdot 0.8 \cdot \frac{1}{e ^{0.8}}

Remove parentheses:

(- a) = - a

= - \frac{1}{e ^{0.8}} \cdot 0.8 \cdot 1

Multiply the numbers:

0.8 \cdot 1 = 0.8

= - 0.8 \cdot \frac{1}{e ^{0.8}}

Multiply fractions:

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

= - \frac{1 \cdot 0.8}{e ^{0.8}}

Multiply the numbers:

1 \cdot 0.8 = 0.8

= - \frac{0.8}{e ^{0.8}}

Simplify

\frac{0.8}{e ^{0.8}} : 0.35946 \dots

= - 0.35946 \dots

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