What is 8e^{2t}*2e^{3t} ?

The solution to 8e^{2t}*2e^{3t} is 16e^{5t}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 8e^{2t}*2e^{3t}

simplify

8 e^{2 t} \cdot 2 e^{3 t}

16 e^{5 t}

Solution steps

8 e^{2 t} \cdot 2 e^{3 t}

Apply exponent rule:

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

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

= 8 \cdot 2 e^{2 t + 3 t}

Add similar elements:

2 t + 3 t = 5 t

= 8 \cdot 2 e^{5 t}

Multiply the numbers:

8 \cdot 2 = 16

= 16 e^{5 t}

e^{L \cdot (e^{t} - 1)} \cdot L e^{- Lx}

- 3.3 e^{- 0.3184}

4905 (7.854 \cdot 1 0^{- 3})

m n