What is 2500e^{-5(0.2231)} ?

The solution to 2500e^{-5(0.2231)} is 819.37840…

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simplify 2500e^{-5(0.2231)}

simplify

2500 e^{- 5 (0.2231)}

819.37840 \dots

Solution steps

2500 e^{- 5 (0.2231)}

Apply exponent rule:

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

= 2500 \cdot \frac{1}{e ^{5 \cdot 0.2231}}

Multiply the numbers:

5 \cdot 0.2231 = 1.1155

= 2500 \cdot \frac{1}{e ^{1.1155}}

Multiply fractions:

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

= \frac{1 \cdot 2500}{e ^{1.1155}}

Multiply the numbers:

1 \cdot 2500 = 2500

= \frac{2500}{e ^{1.1155}}

e^{1.1155} = 3.05109 \dots

= \frac{2500}{3.05109 \dots}

Divide the numbers:

\frac{2500}{3.05109 \dots} = 819.37840 \dots

= 819.37840 \dots

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