What is 142e^{-0.12602(18)} ?

The solution to 142e^{-0.12602(18)} is 14.69440…

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simplify 142e^{-0.12602(18)}

simplify

142 e^{- 0.12602 (18)}

14.69440 \dots

Solution steps

142 e^{- 0.12602 (18)}

Apply exponent rule:

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

= 142 \cdot \frac{1}{e ^{18 \cdot 0.12602}}

Multiply the numbers:

0.12602 \cdot 18 = 2.26836

= 142 \cdot \frac{1}{e ^{2.26836}}

Multiply fractions:

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

= \frac{1 \cdot 142}{e ^{2.26836}}

Multiply the numbers:

1 \cdot 142 = 142

= \frac{142}{e ^{2.26836}}

e^{2.26836} = 9.66353 \dots

= \frac{142}{9.66353 \dots}

Divide the numbers:

\frac{142}{9.66353 \dots} = 14.69440 \dots

= 14.69440 \dots

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