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

Problem

√(5,x3)

Solution

  1. Identify the components of the radical expression, where the radicand is x3 and the index of the root is 5

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

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

Final Answer

√(5,x3)=x3/5


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