Simplify (e^(2x))/(e^x)

Problem

(e(2*x))/(ex)

Solution

1. Identify the rule for dividing powers with the same base, which states that (am)/(an)=a(m−n)

2. Apply the rule to the expression by subtracting the exponent in the denominator from the exponent in the numerator.

e(2*x−x)

3. Simplify the exponent by performing the subtraction 2*x−x=x

ex

Final Answer

(e(2*x))/(ex)=ex

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