What is 80000*e^{-(0.12)2} ?

The solution to 80000*e^{-(0.12)2} is 62930.22888…

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simplify 80000*e^{-(0.12)2}

simplify

80000 \cdot e^{- (0.12) 2}

62930.22888 \dots

Solution steps

80000 e^{- (0.12) \cdot 2}

Apply exponent rule:

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

= 80000 \cdot \frac{1}{e ^{2 \cdot 0.12}}

Multiply the numbers:

0.12 \cdot 2 = 0.24

= 80000 \cdot \frac{1}{e ^{0.24}}

Multiply fractions:

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

= \frac{1 \cdot 80000}{e ^{0.24}}

Multiply the numbers:

1 \cdot 80000 = 80000

= \frac{80000}{e ^{0.24}}

e^{0.24} = 1.27124 \dots

= \frac{80000}{1.27124 \dots}

Divide the numbers:

\frac{80000}{1.27124 \dots} = 62930.22888 \dots

= 62930.22888 \dots

a^{2} (a + b)^{2} (a - b)^{2}

4.9286 e^{- \frac{x}{4.5714}}

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