Convert to Radical Form x^(1/5)

Problem

x^(1/5)

Solution

1. Identify the components of the rational exponent n/m in the expression x^(n/m) where n=1 is the power and m=5 is the root index.

2. Apply the definition of rational exponents, which states that x^(n/m)=√(m,x^n)

3. Substitute the values into the radical structure to get √(5,x^1)

4. Simplify the expression by noting that any value raised to the power of 1 is itself.

Final Answer

x^(1/5)=√(5,x)

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