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Convert to Radical Form 4^(5/2)

Problem

4(5/2)

Solution

  1. Identify the components of the rational exponent m/n where the base is 4 the numerator (power) is 5 and the denominator (root index) is 2

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

  3. Rewrite the expression using a square root symbol, noting that an index of 2 is typically omitted in radical notation.

Final Answer

4(5/2)=√(,4)


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