Write with Rational (Fractional) Exponents square root of x^3

Problem

√(,x3)

Solution

1. Identify the index of the radical. A square root has an implicit index of 2

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

3. Substitute the power of the radicand m=3 and the index n=2 into the formula.

Final Answer

√(,x3)=x3/2

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