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Popular >

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

Solution

simplify

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

Solution

e^{a}

Solution steps

e^{x} e^{a - x}

Apply exponent rule:

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

e^{x} e^{a - x} = e^{x + a - x}

= e^{x + a - x}

Simplify

x + a - x : a

= e^{a}

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Frequently Asked Questions (FAQ)

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