Evaluate (2/3)^2

Problem

(2/3)2

Solution

1. Apply the power of a quotient rule, which states that for any fraction raised to a power, you raise both the numerator and the denominator to that power.

(a/b)n=(an)/(bn)

2. Substitute the values from the expression into the rule.

(2/3)2=2/3

3. Calculate the square of the numerator and the square of the denominator.

2=4

3=9

4. Combine the results back into a single fraction.

4/9

Final Answer

(2/3)2=4/9

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