Evaluate (2/5)^2

Problem

(2/5)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. Distribute the exponent to the numerator and the denominator.

2/5

3. Calculate the square of the numerator.

2=4

4. Calculate the square of the denominator.

5=25

Final Answer

(2/5)2=4/25

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