What is 20e^{-0.0417(8)} ?

The solution to 20e^{-0.0417(8)} is 14.32680…

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simplify 20e^{-0.0417(8)}

simplify

20 e^{- 0.0417 (8)}

14.32680 \dots

Solution steps

20 e^{- 0.0417 (8)}

Apply exponent rule:

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

= 20 \cdot \frac{1}{e ^{8 \cdot 0.0417}}

Multiply the numbers:

0.0417 \cdot 8 = 0.3336

= 20 \cdot \frac{1}{e ^{0.3336}}

Multiply fractions:

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

= \frac{1 \cdot 20}{e ^{0.3336}}

Multiply the numbers:

1 \cdot 20 = 20

= \frac{20}{e ^{0.3336}}

e^{0.3336} = 1.39598 \dots

= \frac{20}{1.39598 \dots}

Divide the numbers:

\frac{20}{1.39598 \dots} = 14.32680 \dots

= 14.32680 \dots

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