What is 7e^{-0.093(40)} ?

The solution to 7e^{-0.093(40)} is 0.16963…

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simplify 7e^{-0.093(40)}

simplify

7 e^{- 0.093 (40)}

0.16963 \dots

Solution steps

7 e^{- 0.093 (40)}

Apply exponent rule:

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

= 7 \cdot \frac{1}{e ^{40 \cdot 0.093}}

Multiply the numbers:

0.093 \cdot 40 = 3.72

= 7 \cdot \frac{1}{e ^{3.72}}

Multiply fractions:

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

= \frac{1 \cdot 7}{e ^{3.72}}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{7}{e ^{3.72}}

e^{3.72} = 41.26439 \dots

= \frac{7}{41.26439 \dots}

Divide the numbers:

\frac{7}{41.26439 \dots} = 0.16963 \dots

= 0.16963 \dots

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