Simplify square root of e^x

Problem

√(,e^x)

Solution

1. Rewrite the square root as a fractional exponent using the property √(,a)=a^(1/2)

(e^x)^(1/2)

2. Apply the power of a power rule for exponents, which states (a^m)^n=a^(m⋅n)

e^(x⋅1/2)

3. Simplify the exponent by performing the multiplication.

e^x/2

Final Answer

√(,e^x)=e^x/2

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