en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x-3)e^{-x}

Solution

simplify

(x - 3) e^{- x}

Solution

\frac{x - 3}{e ^{x}}

Solution steps

(x - 3) e^{- x}

Apply exponent rule:

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

= \frac{1}{e ^{x}} (x - 3)

Multiply fractions:

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

= \frac{1 \cdot ( x - 3 )}{e ^{x}}

1 \cdot (x - 3) = x - 3

= \frac{x - 3}{e ^{x}}

Popular Examples

simplify (0.99^2)/((0.99-2)^2)simplify

\frac{0.9 9 ^{2}}{( 0.99 - 2 ) ^{2}}

simplify (3x^2y)(15xy^2)simplify

(3 x^{2} y) (15 x y^{2})

simplify (120)e^{-(0.0352^{-1})(30)}simplify

(120) e^{- (0.035 2^{- 1}) (30)}

simplify ((2y+3)^2)/((4x+5)^2)simplify

\frac{( 2 y + 3 ) ^{2}}{( 4 x + 5 ) ^{2}}

simplify 100x^2y^2 simplify

100 x^{2} y^{2}

Frequently Asked Questions (FAQ)

What is (x-3)e^{-x} ?
The solution to (x-3)e^{-x} is (x-3)/(e^x)