Evaluate 64^(2/3)

Problem

64(2/3)

Solution

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

64(2/3)=(√(3,64))2

2. Evaluate the cube root of the base number.

√(3,64)=4

3. Square the resulting value to find the final result.

4=16

Final Answer

64(2/3)=16

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