What is 38*e^{(-0.2*720)} ?

The solution to 38*e^{(-0.2*720)} is (38)/(e^{144)}

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simplify 38e^{(-0.2720)}

simplify

38 \cdot e^{(- 0.2 \cdot 720)}

\frac{38}{e ^{144}}

Solution steps

38 e^{(- 0.2 \cdot 720)}

Apply exponent rule:

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

= 38 \cdot \frac{1}{e ^{720 \cdot 0.2}}

Multiply the numbers:

0.2 \cdot 720 = 144

= 38 \cdot \frac{1}{e ^{144}}

Multiply fractions:

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

= \frac{1 \cdot 38}{e ^{144}}

Multiply the numbers:

1 \cdot 38 = 38

= \frac{38}{e ^{144}}

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