Convert to Radical Form 16^(3/4)

Problem

16(3/4)

Solution

1. Identify the components of the rational exponent m/n where the base is 16 the numerator (power) is m=3 and the denominator (root index) is n=4

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 the radical symbol with the index of 4 and the power of 3

Final Answer

16(3/4)=√(4,16)

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