Simplify fourth root of x^4

Problem

√(4,x4)

Solution

1. Identify the properties of radicals and exponents for an even index.

2. Apply the rule for the nth root of a power where n is even, which states √(n,an)=|a|

3. Simplify the expression by removing the radical and the exponent, ensuring the result accounts for the absolute value since x could be negative.

Final Answer

√(4,x4)=|x|

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