Final answer:
The statement that (5/8) squared equals 25/64 is true; by squaring the numerator and the denominator separately, we obtain the fraction 25 over 64.
Step-by-step explanation:
The statement (5/8) squared = 25/64 is true. Squaring a number means multiplying the number by itself. So (5/8) squared is (5/8) × (5/8). When we multiply two fractions, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together. Therefore, 5 × 5 equals 25, and 8 × 8 equals 64, giving us the fraction 25/64.
In general, when squaring a fraction, you simply square the numerator and denominator separately to obtain the new fraction. This process is a basic arithmetic operation in mathematics, and understanding how to work with powers of numbers, including fractions, is an essential skill.