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What is the value of the expression (¼)²?

  1. 1/16

  2. 1/8

  3. 1/4

  4. 1/2

The correct answer is: 1/16

To find the value of the expression (¼)², you need to square the fraction ¼. Squaring a fraction involves squaring both the numerator and the denominator separately. Here, ¼ consists of a numerator of 1 and a denominator of 4. When you square the fraction, you compute it as follows: (¼)² = (1)² / (4)² = 1 / 16. Thus, the value of (¼)² is indeed 1/16. This process demonstrates how squaring a fraction results in squaring both parts of the fraction, leading to the conclusion that the value of the expression is accurately represented as 1/16. The other options do not reflect the correct squaring of the fraction, confirming that 1/16 is the only correct answer in this case.