What is 4000e^{-0.75*40} ?

The solution to 4000e^{-0.75*40} is (4000)/(e^{30)}

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simplify 4000e^{-0.75*40}

simplify

4000 e^{- 0.75 \cdot 40}

\frac{4000}{e ^{30}}

Decimal Notation

3.74305 E - 10

Solution steps

4000 e^{- 0.75 \cdot 40}

Apply exponent rule:

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

= 4000 \cdot \frac{1}{e ^{40 \cdot 0.75}}

Multiply the numbers:

0.75 \cdot 40 = 30

= 4000 \cdot \frac{1}{e ^{30}}

Multiply fractions:

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

= \frac{1 \cdot 4000}{e ^{30}}

Multiply the numbers:

1 \cdot 4000 = 4000

= \frac{4000}{e ^{30}}

1 - sin (a) \cdot 1 + sin (a)

(5 x y^{2}) (3 x^{2} y)

\frac{5 x}{2}

e^{- y} \cdot e^{- y}