What is 500*e^{-0.22*4} ?

The solution to 500*e^{-0.22*4} is 207.39145…

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simplify 500e^{-0.224}

simplify

500 \cdot e^{- 0.22 \cdot 4}

207.39145 \dots

Solution steps

500 e^{- 0.22 \cdot 4}

Apply exponent rule:

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

= 500 \cdot \frac{1}{e ^{4 \cdot 0.22}}

Multiply the numbers:

0.22 \cdot 4 = 0.88

= 500 \cdot \frac{1}{e ^{0.88}}

Multiply fractions:

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

= \frac{1 \cdot 500}{e ^{0.88}}

Multiply the numbers:

1 \cdot 500 = 500

= \frac{500}{e ^{0.88}}

e^{0.88} = 2.41089 \dots

= \frac{500}{2.41089 \dots}

Divide the numbers:

\frac{500}{2.41089 \dots} = 207.39145 \dots

= 207.39145 \dots

3 x^{2} (7 x^{2})

2 e^{- y} (x + y)

sin (2 x) cos (2 x)

3 y^{2} (- 3 y + 3)^{2}

0.00055 \cdot 1 0^{- 7}