Evaluate (24/25)^2

Problem

(24/25)^2

Solution

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

(24/25)^2=24^2/25^2

2. Calculate the square of the numerator by multiplying 24×24

24^2=576

3. Calculate the square of the denominator by multiplying 25×25

25^2=625

4. Combine the results into a single fraction.

576/625

Final Answer

(24/25)^2=576/625

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