What is 800e^{-0.0244(55)} ?

The solution to 800e^{-0.0244(55)} is 209.05800…

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simplify 800e^{-0.0244(55)}

simplify

800 e^{- 0.0244 (55)}

209.05800 \dots

Solution steps

800 e^{- 0.0244 (55)}

Apply exponent rule:

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

= 800 \cdot \frac{1}{e ^{55 \cdot 0.0244}}

Multiply the numbers:

0.0244 \cdot 55 = 1.342

= 800 \cdot \frac{1}{e ^{1.342}}

Multiply fractions:

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

= \frac{1 \cdot 800}{e ^{1.342}}

Multiply the numbers:

1 \cdot 800 = 800

= \frac{800}{e ^{1.342}}

e^{1.342} = 3.82668 \dots

= \frac{800}{3.82668 \dots}

Divide the numbers:

\frac{800}{3.82668 \dots} = 209.05800 \dots

= 209.05800 \dots

15 e^{- 0.15 (4)}

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33

50 \cdot 1 0^{- 3} \cdot \frac{d}{d x} (2 x e^{- 4 x})

200 \cdot 729. 7^{- 8}