Convert to Radical Form x^(1/3)

Problem

x(1/3)

Solution

1. Identify the components of the rational exponent m/n where the expression is in the form x(m/n)

2. Determine the index and the power, where the denominator n represents the index of the radical and the numerator m represents the power to which the radicand is raised.

3. Apply the rule x(m/n)=√(n,xm) to rewrite the expression.

4. Substitute m=1 and n=3 into the radical formula to get √(3,x1)

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

Final Answer

x(1/3)=√(3,x)

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