What is 500\times e^{-0.25\times 10} ?

The solution to 500\times e^{-0.25\times 10} is 41.04249…

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simplify 500\times e^{-0.25\times 10}

simplify

500 \cdot e^{- 0.25 \cdot 10}

41.04249 \dots

Solution steps

500 e^{- 0.25 \cdot 10}

Apply exponent rule:

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

= 500 \cdot \frac{1}{e ^{10 \cdot 0.25}}

Multiply the numbers:

0.25 \cdot 10 = 2.5

= 500 \cdot \frac{1}{e ^{2.5}}

Multiply fractions:

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

= \frac{1 \cdot 500}{e ^{2.5}}

Multiply the numbers:

1 \cdot 500 = 500

= \frac{500}{e ^{2.5}}

e^{2.5} = 12.18249 \dots

= \frac{500}{12.18249 \dots}

Divide the numbers:

\frac{500}{12.18249 \dots} = 41.04249 \dots

= 41.04249 \dots

5 x (3 x^{4})

5 x^{2} (2 x)

(0.09)^{- 1}

What is 500\times e^{-0.25\times 10} ?
The solution to 500\times e^{-0.25\times 10} is 41.04249…