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

Problem

√(5,x^3)

Solution

1. Identify the components of the radical expression, where the radicand is x^3 and the index of the root is 5

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

3. Substitute the values m=3 and n=5 into the rational exponent formula.

Final Answer

√(5,x^3)=x^3/5

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