What is 3583e^{(-e^{(-0.02(100-66))})} ?

The solution to 3583e^{(-e^{(-0.02(100-66))})} is 2158.86678…

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simplify 3583e^{(-e^{(-0.02(100-66))})}

simplify

3583 e^{(- e^{(- 0.02 (100 - 66))})}

2158.86678 \dots

Solution steps

3583 e^{(- e^{(- 0.02 (100 - 66))})}

Apply exponent rule:

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

= 3583 \cdot \frac{1}{e ^{e^{- 0.02 (100 - 66)}}}

e^{- 0.02 (100 - 66)} = e^{- 0.68}

= 3583 \cdot \frac{1}{e ^{e^{- 0.68}}}

Multiply fractions:

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

= \frac{1 \cdot 3583}{e ^{e^{- 0.68}}}

Multiply the numbers:

1 \cdot 3583 = 3583

= \frac{3583}{e ^{e^{- 0.68}}}

e^{e^{- 0.68}} = 1.65966 \dots

= \frac{3583}{1.65966 \dots}

Divide the numbers:

\frac{3583}{1.65966 \dots} = 2158.86678 \dots

= 2158.86678 \dots

3.64 \cdot 1 0^{- 6}

196.73 \cdot 1 0^{- 3} \cdot 9.78

(3 x e^{- 3 x}) co n c a v e

(5 x 1 0^{8}) x (3 x 1 0^{6})

2222

What is 3583e^{(-e^{(-0.02(100-66))})} ?
The solution to 3583e^{(-e^{(-0.02(100-66))})} is 2158.86678…