en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

- \frac{1}{e ^{3 x}}

Solution steps

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

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

= - e^{- x} \frac{1}{e ^{2 x}}

Multiply fractions:

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

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

Multiply:

1 \cdot e^{- x} = e^{- x}

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

Apply exponent rule:

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

\frac{e ^{- x}}{e ^{2 x}} = e^{- x - 2 x} = e^{- 3 x}

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

Popular Examples

simplify 1/2 (10*10^{-6})(11.2)^2 simplify

\frac{1}{2} (10 \cdot 1 0^{- 6}) (11.2)^{2}

simplify Δsin(x)cos(y)e^{-y_{2}}simplify

Δ sin (x) cos (y) e^{- y_{2}}

simplify 2sqrt(5+2\sqrt{6)}sqrt(5-2\sqrt{6)}simplify

2 5 + 26 5 - 26

simplify 3.5x10^{-7}simplify

3.5 x 1 0^{- 7}

simplify e^{-2.22}simplify

e^{- 2.22}

Frequently Asked Questions (FAQ)

What is (-e^{-x})(e^{-2x}) ?
The solution to (-e^{-x})(e^{-2x}) is -1/(e^{3x)}