What is 4e^{(-0.005*250)} ?

The solution to 4e^{(-0.005*250)} is 1.14601…

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simplify 4e^{(-0.005*250)}

simplify

4 e^{(- 0.005 \cdot 250)}

1.14601 \dots

Solution steps

4 e^{(- 0.005 \cdot 250)}

Apply exponent rule:

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

= 4 \cdot \frac{1}{e ^{250 \cdot 0.005}}

Multiply the numbers:

0.005 \cdot 250 = 1.25

= 4 \cdot \frac{1}{e ^{1.25}}

Multiply fractions:

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

= \frac{1 \cdot 4}{e ^{1.25}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4}{e ^{1.25}}

e^{1.25} = 3.49034 \dots

= \frac{4}{3.49034 \dots}

Divide the numbers:

\frac{4}{3.49034 \dots} = 1.14601 \dots

= 1.14601 \dots

2 (a^{2} \cdot 2 b^{2})

1.6 \cdot 1 0^{- 19} \cdot 15

- 800 e^{- 43}

e^{3 x} e^{4}

(2109) (722)