Evaluate 32^(2/5)

Problem

32(2/5)

Solution

1. Rewrite the expression using the property of rational exponents a(m/n)=(√(n,a))m

32(2/5)=(√(5,32))2

2. Evaluate the fifth root of 32 by identifying that 2=32

√(5,32)=2

3. Square the result to find the final value.

2=4

Final Answer

32(2/5)=4

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