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Convert to Radical Form x^(3/2)

Problem

x(3/2)

Solution

  1. Identify the components of the rational exponent m/n where m=3 is the power and n=2 is the index of the root.

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

  3. Substitute the values into the radical structure, using the index of 2 for a square root and the power of 3 for the radicand.

Final Answer

x(3/2)=√(,x3)


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