Let's simplify the expression (1/2)^3 step by step:

  1. Understand the exponent: The exponent 3 means we multiply the base, which is 1/2, by itself 3 times.
  2. Write it out: (1/2)^3 = (1/2) × (1/2) × (1/2)
  3. Multiply the numerators: The numerators are all 1, so 1 × 1 × 1 = 1
  4. Multiply the denominators: The denominators are all 2, so 2 × 2 × 2 = 8
  5. Put it together: (1 × 1 × 1) / (2 × 2 × 2) = 1/8

Answer: (1/2)^3 = 1/8

This means when you cube one half, it becomes one eighth.


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