What is e^{-0.05t}(20e^{0.05t}) ?

The solution to e^{-0.05t}(20e^{0.05t}) is 20

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-0.05t}(20e^{0.05t})

simplify

e^{- 0.05 t} (20 e^{0.05 t})

20

Solution steps

e^{- 0.05 t} (20 e^{0.05 t})

Apply exponent rule:

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

e^{- 0.05 t} e^{0.05 t} = e^{- 0.05 t + 0.05 t}

= 20 e^{- 0.05 t + 0.05 t}

Add similar elements:

- 0.05 t + 0.05 t = 0

= 20 e^{0}

Apply rule

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

e^{0} = 1

= 20 \cdot 1

Multiply the numbers:

20 \cdot 1 = 20

= 20

(([\frac{1}{2}])^{3})^{0}^{- 2}

120 e^{- 0.05}

93.8 (1 0^{- 5})

15504 \cdot 4.747561 \cdot 1 0^{- 3} \cdot 0.00243

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