Simplify square root of e^x

Problem

√(,ex)

Solution

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

(ex)(1/2)

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

e(x⋅1/2)

3. Simplify the exponent by performing the multiplication.

ex/2

Final Answer

√(,ex)=ex/2

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