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Popular >

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

Solution

simplify

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

Solution

3

Solution steps

3 e^{3 x} e^{- 3 x}

Apply exponent rule:

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

e^{3 x} e^{- 3 x} = e^{3 x - 3 x}

= 3 e^{3 x - 3 x}

Add similar elements:

3 x - 3 x = 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 3e^{3x}*e^{-3x} ?
The solution to 3e^{3x}*e^{-3x} is 3