Write with Rational (Fractional) Exponents cube root of y^2

Problem

√(3,y2)

Solution

1. Identify the components of the radical expression, where the index of the root is 3 and the power of the radicand is 2

2. Apply the rule for converting radicals to rational exponents, which states √(n,xm)=xm/n

3. Substitute the values into the formula, placing the power 2 in the numerator and the index 3 in the denominator.

Final Answer

√(3,y2)=y2/3

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