What is 500e^{-0.032(4)} ?

The solution to 500e^{-0.032(4)} is 439.92668…

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simplify 500e^{-0.032(4)}

simplify

500 e^{- 0.032 (4)}

439.92668 \dots

Solution steps

500 e^{- 0.032 (4)}

Apply exponent rule:

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

= 500 \cdot \frac{1}{e ^{4 \cdot 0.032}}

Multiply the numbers:

0.032 \cdot 4 = 0.128

= 500 \cdot \frac{1}{e ^{0.128}}

Multiply fractions:

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

= \frac{1 \cdot 500}{e ^{0.128}}

Multiply the numbers:

1 \cdot 500 = 500

= \frac{500}{e ^{0.128}}

e^{0.128} = 1.13655 \dots

= \frac{500}{1.13655 \dots}

Divide the numbers:

\frac{500}{1.13655 \dots} = 439.92668 \dots

= 439.92668 \dots

(1.097 (1 0^{- 2})) (- 0.083)

(33) (33)

- 3^{3}

(n (n + 1))^{2}

e^{- 2 x} \times e^{- 2 x}