Simplify fourth root of y^4

Problem

√(4,y4)

Solution

1. Identify the expression as a radical with an even index n=4 and a radicand raised to the same power n=4

2. Apply the property of radicals which states that for any even integer n √(n,xn)=|x|

3. Simplify the expression by removing the radical and the exponent, resulting in the absolute value of the base.

Final Answer

√(4,y4)=|y|

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