What is 800e^{-0.0244(20)} ?

The solution to 800e^{-0.0244(20)} is 491.08229…

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simplify 800e^{-0.0244(20)}

simplify

800 e^{- 0.0244 (20)}

491.08229 \dots

Solution steps

800 e^{- 0.0244 (20)}

Apply exponent rule:

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

= 800 \cdot \frac{1}{e ^{20 \cdot 0.0244}}

Multiply the numbers:

0.0244 \cdot 20 = 0.488

= 800 \cdot \frac{1}{e ^{0.488}}

Multiply fractions:

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

= \frac{1 \cdot 800}{e ^{0.488}}

Multiply the numbers:

1 \cdot 800 = 800

= \frac{800}{e ^{0.488}}

e^{0.488} = 1.62905 \dots

= \frac{800}{1.62905 \dots}

Divide the numbers:

\frac{800}{1.62905 \dots} = 491.08229 \dots

= 491.08229 \dots

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