Simplify e^(2x)*e^(2x)

Problem

e(2*x)⋅e(2*x)

Solution

1. Identify the base and the exponents in the expression. Both terms have the same base, e

2. Apply the product rule for exponents, which states that am⋅an=a(m+n)

3. Add the exponents together: 2*x+2*x

4. Simplify the resulting exponent by combining like terms to get 4*x

Final Answer

e(2*x)⋅e(2*x)=e(4*x)

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