What is 500e^{-0.0244(30)} ?

The solution to 500e^{-0.0244(30)} is 240.47306…

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simplify 500e^{-0.0244(30)}

simplify

500 e^{- 0.0244 (30)}

240.47306 \dots

Solution steps

500 e^{- 0.0244 (30)}

Apply exponent rule:

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

= 500 \cdot \frac{1}{e ^{30 \cdot 0.0244}}

Multiply the numbers:

0.0244 \cdot 30 = 0.732

= 500 \cdot \frac{1}{e ^{0.732}}

Multiply fractions:

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

= \frac{1 \cdot 500}{e ^{0.732}}

Multiply the numbers:

1 \cdot 500 = 500

= \frac{500}{e ^{0.732}}

e^{0.732} = 2.07923 \dots

= \frac{500}{2.07923 \dots}

Divide the numbers:

\frac{500}{2.07923 \dots} = 240.47306 \dots

= 240.47306 \dots

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