Evaluate 81^(1/4)

Problem

81(1/4)

Solution

1. Identify the meaning of the fractional exponent, where a(1/n) represents the nth root of a

2. Rewrite the expression as a radical to visualize the operation.

√(4,81)

3. Factor the number 81 into its prime components to find a number that, when multiplied by itself four times, equals 81.

81=3⋅3⋅3⋅3

4. Simplify the radical by identifying that 3=81

√(4,3)=3

Final Answer

81(1/4)=3

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