What is 800e^{-0.0245(40)} ?

The solution to 800e^{-0.0245(40)} is 300.24887…

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simplify 800e^{-0.0245(40)}

simplify

800 e^{- 0.0245 (40)}

300.24887 \dots

Solution steps

800 e^{- 0.0245 (40)}

Apply exponent rule:

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

= 800 \cdot \frac{1}{e ^{40 \cdot 0.0245}}

Multiply the numbers:

0.0245 \cdot 40 = 0.98

= 800 \cdot \frac{1}{e ^{0.98}}

Multiply fractions:

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

= \frac{1 \cdot 800}{e ^{0.98}}

Multiply the numbers:

1 \cdot 800 = 800

= \frac{800}{e ^{0.98}}

e^{0.98} = 2.66445 \dots

= \frac{800}{2.66445 \dots}

Divide the numbers:

\frac{800}{2.66445 \dots} = 300.24887 \dots

= 300.24887 \dots

3^{x} e^{x}

\frac{e ^{y}}{e ^{x^{2}}}

1.44 \cdot 0.36

x^{2} (2 - x)^{2}