Evaluate 216^(2/3)

Problem

216(2/3)

Solution

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

216(2/3)=(√(3,216))2

2. Identify the cube root of the base number 216

√(3,216)=6

3. Substitute the cube root back into the expression.

6

4. Evaluate the square of the resulting integer.

6×6=36

Final Answer

216(2/3)=36

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