What is 200e^{-0.02x}*x ?

The solution to 200e^{-0.02x}*x is (200x)/(e^{0.02x)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 200e^{-0.02x}*x

simplify

200 e^{- 0.02 x} \cdot x

\frac{200 x}{e ^{0.02 x}}

Solution steps

200 e^{- 0.02 x} x

Apply exponent rule:

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

= 200 \cdot \frac{1}{e ^{0.02 x}} x

Multiply fractions:

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

= \frac{1 \cdot 200 x}{e ^{0.02 x}}

Multiply the numbers:

1 \cdot 200 = 200

= \frac{200 x}{e ^{0.02 x}}

1.68 \cdot 1 0^{- 8} [1 + 0.0068 (55 - 20)]

(1.7096 \cdot 1 0^{- 8}) (500)^{1.1146}

2.4 \cdot 1 0^{- 9}

\frac{46}{3}

4^{3} 0. 5^{3}