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Popular >

simplify e^{5x}*e^{-5x}

Solution

simplify

e^{5 x} \cdot e^{- 5 x}

Solution

1

Solution steps

e^{5 x} e^{- 5 x}

Apply exponent rule:

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

e^{5 x} e^{- 5 x} = e^{5 x - 5 x}

= e^{5 x - 5 x}

Add similar elements:

5 x - 5 x = 0

= e^{0}

Apply rule

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

= 1

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Frequently Asked Questions (FAQ)

What is e^{5x}*e^{-5x} ?
The solution to e^{5x}*e^{-5x} is 1