What is 400e^{-0.02x}*x ?

The solution to 400e^{-0.02x}*x is (400x)/(e^{0.02x)}

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simplify 400e^{-0.02x}*x

simplify

400 e^{- 0.02 x} \cdot x

\frac{400 x}{e ^{0.02 x}}

Solution steps

400 e^{- 0.02 x} x

Apply exponent rule:

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

= 400 \cdot \frac{1}{e ^{0.02 x}} x

Multiply fractions:

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

= \frac{1 \cdot 400 x}{e ^{0.02 x}}

Multiply the numbers:

1 \cdot 400 = 400

= \frac{400 x}{e ^{0.02 x}}

2 (2.4016 \cdot 1 0^{- 11}) (150)

e^{- 3} (\frac{3 ^{0}}{0 !} + \frac{3 ^{1}}{1 !} + \frac{3 ^{2}}{2 !})

e^{- \frac{1}{2} (\frac{1}{2})^{2} \frac{1}{2}}

x^{2} y^{2} (y^{4} - 5 x^{2})

1.72 \cdot 1 0^{- 3}