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

Problem

√(4,x^3)

Solution

1. Identify the components of the radical expression, where the radicand is x^3 and the index of the root is 4

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=4 into the formula to rewrite the expression.

Final Answer

√(4,x^3)=x^3/4

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