Evaluate 8^(5/3)

Problem

8(5/3)

Solution

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

8(5/3)=(√(3,8))5

2. Evaluate the cube root of the base number.

√(3,8)=2

3. Substitute the result back into the expression and raise it to the power of the numerator.

2=32

Final Answer

8(5/3)=32

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