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

Question

asked Dec 12, 2024 144k views

1 Answer

Srcerer · Answer 1 · 2024-12-17T14:14:48+0000

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

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.