en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2-13)e^{-x}

Solution

simplify

(x^{2} - 13) e^{- x}

Solution

\frac{x ^{2} - 13}{e ^{x}}

Solution steps

(x^{2} - 13) e^{- x}

Apply exponent rule:

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

= \frac{1}{e ^{x}} (x^{2} - 13)

Multiply fractions:

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

= \frac{1 \cdot ( x ^{2} - 13 )}{e ^{x}}

1 \cdot (x^{2} - 13) = x^{2} - 13

= \frac{x ^{2} - 13}{e ^{x}}

Popular Examples

simplify (e^{-n^2-2n-1})/(e^{-n^2)}simplify

\frac{e ^{- n^{2} - 2 n - 1}}{e ^{- n^{2}}}

simplify 4sqrt(x^{128)x^5y}^7 simplify

4 x^{128} x^{5} y^{7}

simplify e^{-2ln(sin(y))}simplify

e^{- 2 l n (s i n (y))}

simplify e^2(e-1)^2 simplify

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

simplify (5.5*10^8)(2.1*10^{-15})simplify

(5.5 \cdot 1 0^{8}) (2.1 \cdot 1 0^{- 15})

Frequently Asked Questions (FAQ)

What is (x^2-13)e^{-x} ?
The solution to (x^2-13)e^{-x} is (x^2-13)/(e^x)