Simplify fifth root of x^5

Problem

√(5,x5)

Solution

1. Identify the index of the radical and the exponent of the radicand. The index is 5 and the exponent is 5

2. Apply the property of radicals which states that for any real number x and an odd integer n √(n,xn)=x

3. Simplify the expression by canceling the fifth root with the fifth power, noting that since the index is odd, no absolute value bars are required.

Final Answer

√(5,x5)=x

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