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Popular >

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

Solution

simplify

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

Solution

3

Solution steps

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

Apply exponent rule:

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

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

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

Add similar elements:

- 2 t + 2 t = 0

= 3 e^{0}

Apply rule

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

e^{0} = 1

= 3 \cdot 1

Multiply the numbers:

3 \cdot 1 = 3

= 3

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Frequently Asked Questions (FAQ)

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