en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-3t}*e^{3t}

Solution

simplify

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

Solution

1

Solution steps

e^{- 3 t} e^{3 t}

Apply exponent rule:

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

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

= e^{- 3 t + 3 t}

Add similar elements:

- 3 t + 3 t = 0

= e^{0}

Apply rule

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

= 1

Popular Examples

simplify-1/2 e^{-3^2}simplify

- \frac{1}{2} e^{- 3^{2}}

simplify (x-2)^2*(x-4)^2 simplify

(x - 2)^{2} \cdot (x - 4)^{2}

simplify (5^{log_{5}(pi)})^{5.2}simplify

(5^{l o g_{5} (π)})^{5.2}

simplify (1+sqrt(5))(1+sqrt(5))simplify

(1 + 5) (1 + 5)

simplify e^{-cx}x^n simplify

e^{- c x} x^{n}

Frequently Asked Questions (FAQ)

What is e^{-3t}*e^{3t} ?
The solution to e^{-3t}*e^{3t} is 1