Convert to Radical Form x^(1/6)

Problem

x^(1/6)

Solution

1. Identify the components of the rational exponent m/n where m is the power and n is the index of the root.

2. Apply the rule for rational exponents, which states that a^(m/n)=√(n,a^m)

3. Substitute the values m=1 and n=6 into the radical formula.

4. Simplify the expression by noting that x^1=x

Final Answer

x^(1/6)=√(6,x)

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