en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-(3t)/2}*2e^{2t}

Solution

simplify

e^{- \frac{3 t}{2}} \cdot 2 e^{2 t}

Solution

2 e^{\frac{t}{2}}

Solution steps

e^{- \frac{3 t}{2}} \cdot 2 e^{2 t}

Apply exponent rule:

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

e^{- \frac{3 t}{2}} e^{2 t} = e^{- \frac{3 t}{2} + 2 t}

= 2 e^{- \frac{3 t}{2} + 2 t}

e^{- \frac{3 t}{2} + 2 t} = e^{\frac{t}{2}}

= 2 e^{\frac{t}{2}}

Popular Examples

simplify 120gC^6H^{12}O^6 simplify

120 g C^{6} H^{12} O^{6}

simplify (4e^{x^2+1})(4e^{x^2})simplify

(4 e^{x^{2} + 1}) (4 e^{x^{2}})

simplify 1.9*10^{-5}(3)simplify

1.9 \cdot 1 0^{- 5} (3)

simplify 3\sqrt[3]{(X^2+2)^2}simplify

simplify (2x+3)^2(4x-2)^2 simplify

(2 x + 3)^{2} (4 x - 2)^{2}

Frequently Asked Questions (FAQ)

What is e^{-(3t)/2}*2e^{2t} ?
The solution to e^{-(3t)/2}*2e^{2t} is 2e^{t/2}