What is 142e^{-0.12602(15)} ?

The solution to 142e^{-0.12602(15)} is 21.44576…

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simplify 142e^{-0.12602(15)}

simplify

142 e^{- 0.12602 (15)}

21.44576 \dots

Solution steps

142 e^{- 0.12602 (15)}

Apply exponent rule:

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

= 142 \cdot \frac{1}{e ^{15 \cdot 0.12602}}

Multiply the numbers:

0.12602 \cdot 15 = 1.8903

= 142 \cdot \frac{1}{e ^{1.8903}}

Multiply fractions:

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

= \frac{1 \cdot 142}{e ^{1.8903}}

Multiply the numbers:

1 \cdot 142 = 142

= \frac{142}{e ^{1.8903}}

e^{1.8903} = 6.62135 \dots

= \frac{142}{6.62135 \dots}

Divide the numbers:

\frac{142}{6.62135 \dots} = 21.44576 \dots

= 21.44576 \dots

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