Evaluate 32^(4/5)

Problem

32(4/5)

Solution

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

32(4/5)=(√(5,32))4

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

√(5,32)=2

3. Substitute the root back into the expression.

2

4. Calculate the final value by raising 2 to the power of 4

2⋅2⋅2⋅2=16

Final Answer

32(4/5)=16

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