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Popular >

simplify e^{(2x)}*e^{(-2x)}

Solution

simplify

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

Solution

1

Solution steps

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

Apply exponent rule:

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

e^{2 x} e^{- 2 x} = e^{2 x - 2 x}

= e^{2 x - 2 x}

Add similar elements:

2 x - 2 x = 0

= e^{0}

Apply rule

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

= 1

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Frequently Asked Questions (FAQ)

What is e^{(2x)}*e^{(-2x)} ?
The solution to e^{(2x)}*e^{(-2x)} is 1