en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2+5)e^{-2x}

Solution

simplify

(x^{2} + 5) e^{- 2 x}

Solution

\frac{x ^{2} + 5}{e ^{2 x}}

Solution steps

(x^{2} + 5) e^{- 2 x}

Apply exponent rule:

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

= \frac{1}{e ^{2 x}} (x^{2} + 5)

Multiply fractions:

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

= \frac{1 \cdot ( x ^{2} + 5 )}{e ^{2 x}}

1 \cdot (x^{2} + 5) = x^{2} + 5

= \frac{x ^{2} + 5}{e ^{2 x}}

Popular Examples

simplify (e^{2pi})^5 simplify

(e^{2 π})^{5}

simplify 3*10^{-8}*6.28 simplify

3 \cdot 1 0^{- 8} \cdot 6.28

simplify 50(1.54)^{-4(4)}simplify

50 (1.54)^{- 4 (4)}

simplify (y-7)^2(y+4)^2 simplify

(y - 7)^{2} (y + 4)^{2}

exponent \sqrt[5]{(2x)^3}radical to exponent

Frequently Asked Questions (FAQ)

What is (x^2+5)e^{-2x} ?
The solution to (x^2+5)e^{-2x} is (x^2+5)/(e^{2x)}