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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

3

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- 3 x} e^{3 x} = e^{- 3 x + 3 x}

= 3 e^{- 3 x + 3 x}

Add similar elements:

- 3 x + 3 x = 0

= 3 e^{0}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= 3 \cdot 1

Multiply the numbers:

3 \cdot 1 = 3

= 3

1 - (\frac{5}{13})^{2}

e^{t}

e^{- k}

13 e^{- 4}