What is e^x*2e^{2x}*9e^{3x} ?

The solution to e^x*2e^{2x}*9e^{3x} is 18e^{6x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^x2e^{2x}9e^{3x}

simplify

e^{x} \cdot 2 e^{2 x} \cdot 9 e^{3 x}

18 e^{6 x}

Solution steps

e^{x} \cdot 2 e^{2 x} \cdot 9 e^{3 x}

Apply exponent rule:

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

e^{x} e^{2 x} e^{3 x} = e^{x + 2 x + 3 x}

= 2 \cdot 9 e^{x + 2 x + 3 x}

Add similar elements:

x + 2 x + 3 x = 6 x

= 2 \cdot 9 e^{6 x}

Multiply the numbers:

2 \cdot 9 = 18

= 18 e^{6 x}

, e^{- 10 t} (6 cos (30 t) + 2 sin (30 t))

\frac{e ^{5}}{e ^{3}}

e^{- s t} (2 t + 1)

(3 e^{- 2 j})^{3} (4 e^{- 3 j})^{- 2}

6 (3.43) (1 0^{- 7})