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.