What is 500e^{-0.032(10)} ?

The solution to 500e^{-0.032(10)} is 363.07451…

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simplify 500e^{-0.032(10)}

simplify

500 e^{- 0.032 (10)}

363.07451 \dots

Solution steps

500 e^{- 0.032 (10)}

Apply exponent rule:

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

= 500 \cdot \frac{1}{e ^{10 \cdot 0.032}}

Multiply the numbers:

0.032 \cdot 10 = 0.32

= 500 \cdot \frac{1}{e ^{0.32}}

Multiply fractions:

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

= \frac{1 \cdot 500}{e ^{0.32}}

Multiply the numbers:

1 \cdot 500 = 500

= \frac{500}{e ^{0.32}}

e^{0.32} = 1.37712 \dots

= \frac{500}{1.37712 \dots}

Divide the numbers:

\frac{500}{1.37712 \dots} = 363.07451 \dots

= 363.07451 \dots

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