What is 20*e^{-0.8(0.9)} ?

The solution to 20*e^{-0.8(0.9)} is 9.73504…

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simplify 20*e^{-0.8(0.9)}

simplify

20 \cdot e^{- 0.8 (0.9)}

9.73504 \dots

Solution steps

20 e^{- 0.8 (0.9)}

Apply exponent rule:

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

= 20 \cdot \frac{1}{e ^{0.8 \cdot 0.9}}

Multiply the numbers:

0.8 \cdot 0.9 = 0.72

= 20 \cdot \frac{1}{e ^{0.72}}

Multiply fractions:

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

= \frac{1 \cdot 20}{e ^{0.72}}

Multiply the numbers:

1 \cdot 20 = 20

= \frac{20}{e ^{0.72}}

e^{0.72} = 2.05443 \dots

= \frac{20}{2.05443 \dots}

Divide the numbers:

\frac{20}{2.05443 \dots} = 9.73504 \dots

= 9.73504 \dots

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