What is 20000e^{-0.4(3)} ?

The solution to 20000e^{-0.4(3)} is 6023.88423…

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simplify 20000e^{-0.4(3)}

simplify

20000 e^{- 0.4 (3)}

6023.88423 \dots

Solution steps

20000 e^{- 0.4 (3)}

Apply exponent rule:

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

= 20000 \cdot \frac{1}{e ^{3 \cdot 0.4}}

Multiply the numbers:

0.4 \cdot 3 = 1.2

= 20000 \cdot \frac{1}{e ^{1.2}}

Multiply fractions:

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

= \frac{1 \cdot 20000}{e ^{1.2}}

Multiply the numbers:

1 \cdot 20000 = 20000

= \frac{20000}{e ^{1.2}}

e^{1.2} = 3.32011 \dots

= \frac{20000}{3.32011 \dots}

Divide the numbers:

\frac{20000}{3.32011 \dots} = 6023.88423 \dots

= 6023.88423 \dots

e^{(- 2.078)} \cdot 40

28197.47 (1.0 8^{5} - 1)^{- 1}

- e^{- x} \times x

reso l v er (x^{- 1} + 3)^{3}

1000 (0.082 \cdot 487.8)^{- 2}