Simplify square root of x^8

Problem

√(,x8)

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 8

x8/2

3. Simplify the fraction in the exponent by dividing 8 by 2

x4

Final Answer

√(,x8)=x4

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