What is 20000e^{-0.07(20)} ?

The solution to 20000e^{-0.07(20)} is 4931.93927…

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simplify 20000e^{-0.07(20)}

simplify

20000 e^{- 0.07 (20)}

4931.93927 \dots

Solution steps

20000 e^{- 0.07 (20)}

Apply exponent rule:

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

= 20000 \cdot \frac{1}{e ^{20 \cdot 0.07}}

Multiply the numbers:

0.07 \cdot 20 = 1.4

= 20000 \cdot \frac{1}{e ^{1.4}}

Multiply fractions:

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

= \frac{1 \cdot 20000}{e ^{1.4}}

Multiply the numbers:

1 \cdot 20000 = 20000

= \frac{20000}{e ^{1.4}}

e^{1.4} = 4.05519 \dots

= \frac{20000}{4.05519 \dots}

Divide the numbers:

\frac{20000}{4.05519 \dots} = 4931.93927 \dots

= 4931.93927 \dots

e^{- x} x^{2}

5.67 \cdot 1 0^{- 8} \cdot (800)^{4}

4.5 e^{- 6}

3.75 \cdot 1 0^{- 3}

9 (3^{- 2})^{3} 0. 3^{- 3}