Evaluate 32^(1/5)

Problem

32(1/5)

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.

√(5,32)

3. Factor the number 32 into its prime factors to find a number that, when multiplied by itself 5 times, equals 32.

32=2⋅2⋅2⋅2⋅2

4. Simplify the expression by recognizing that 2=32

√(5,2)=2

Final Answer

32(1/5)=2

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