Simplify square root of x^16

Problem

√(,x16)

Solution

1. Identify the expression as a square root of a power, which can be rewritten using a fractional exponent.

2. Apply the rule for radicals where √(n,am)=am/n In this case, the index n is 2 and the power m is 16

x16/2

3. Simplify the fraction in the exponent by dividing 16 by 2

x8

Final Answer

√(,x16)=x8

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