Evaluate (-2/3)^2

Problem

(−2/3)2

Solution

1. Apply the power of a quotient rule, which states that (a/b)n=(an)/(bn)

(−2/3)2=((−2)2)/3

2. Evaluate the numerator by squaring the negative integer, noting that a negative number multiplied by itself results in a positive product.

(−2)2=4

3. Evaluate the denominator by squaring the integer.

3=9

4. Combine the results to form the final fraction.

4/9

Final Answer

(−2/3)2=4/9

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