What is (-3e^{-3x})(e^{-x}) ?

The solution to (-3e^{-3x})(e^{-x}) is -3/(e^{4x)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

- \frac{3}{e ^{4 x}}

Solution steps

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

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 3 = 3

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

Apply exponent rule:

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

\frac{e ^{- 3 x}}{e ^{x}} = e^{- 3 x - x} = e^{- 4 x}

= - \frac{3}{e ^{4 x}}

e d (3 x)^{- 3}

9.999 \cdot 1 0^{- 8}

1.75 \cdot 1 0^{- 2}

2500 \cdot (0.022 \cdot 1 0^{- 6})

(a x^{3}) (a^{4} x^{5})

What is (-3e^{-3x})(e^{-x}) ?
The solution to (-3e^{-3x})(e^{-x}) is -3/(e^{4x)}