To find the value of 2 raised to the power of 8, we calculate:
- 21 = 2
- 22 = 2 × 2 = 4
- 23 = 2 × 2 × 2 = 8
- 24 = 2 × 2 × 2 × 2 = 16
- 25 = 2 × 2 × 2 × 2 × 2 = 32
- 26 = 2 × 2 × 2 × 2 × 2 × 2 = 64
- 27 = 2 × 2 × 2 × 2 × 2 × 2 × 2 = 128
- 28 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 256
Therefore, the value of 2 to the 8th power (28) is 256. This result can be useful in various mathematical and computational contexts, such as in binary systems where powers of 2 are frequently encountered.
If you’re curious about the significance of 28, it’s worth noting that it is also related to digital computing, where it represents the number of distinct values (256) that can be represented with 8 bits. This is why 256 is popularly associated with colors in graphic design and image processing.