What is 4000e^{-0.075*40} ?

The solution to 4000e^{-0.075*40} is (4000)/(e^3)

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simplify 4000e^{-0.075*40}

simplify

4000 e^{- 0.075 \cdot 40}

\frac{4000}{e ^{3}}

Decimal Notation

199.14827 \dots

Solution steps

4000 e^{- 0.075 \cdot 40}

Apply exponent rule:

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

= 4000 \cdot \frac{1}{e ^{40 \cdot 0.075}}

Multiply the numbers:

0.075 \cdot 40 = 3

= 4000 \cdot \frac{1}{e ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 4000}{e ^{3}}

Multiply the numbers:

1 \cdot 4000 = 4000

= \frac{4000}{e ^{3}}

(2 + 3) (2 + 3)

(22) 2

(7 x y^{4}) (3 x^{2} y)

6.64 \cdot 1 0^{- 27} \cdot 9.81