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What is the value of the expression ( -4 ) to the power of 3

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Final answer:

The expression (-4) to the power of 3 is calculated by multiplying -4 by itself three times, resulting in -64.

Step-by-step explanation:

  • The value of the expression (-4) to the power of 3, or (-4)3, requires us to cube the base -4. This means we are to multiply -4 by itself three times.
  • To compute this, the steps are as follows: (-4) x (-4) x (-4).
  • When multiplying negative numbers, the result is positive if we have an even number of negative factors, and negative if we have an odd number.
  • Since we are multiplying three negatives together, the result will be negative.
  • The calculation is: -4 x -4 = 16 (two negatives multiplied give a positive), and then we multiply this result by -4 once more: 16 x -4 = -64. Therefore, the value of (-4)3 is -64.
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