Evaluate 8^(2/3)

Problem

8(2/3)

Solution

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

8(2/3)=(√(3,8))2

2. Evaluate the cube root of 8 which is the number that, when multiplied by itself three times, equals 8

√(3,8)=2

3. Substitute the result back into the expression and square it.

2=4

Final Answer

8(2/3)=4

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