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

Problem

√(3,x^2)

Solution

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

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

3. Substitute the values m=2 and n=3 into the rational exponent formula.

Final Answer

√(3,x^2)=x^2/3

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