What is `2^8?`
An exponent represents the number of times the base is to be multiplied by itself.
`2^8 = 2*2*2*2*2*2*2*2`
Since 2 x 2 = 4, there are 4 pairs of 2x2
`2^8 = 4^4`
`4^4 = 4*4*4*4`
Since 4 x 4 = 16, there are 2 pairs of 4x4
`2^8 = 4^4 = 16^2`
`16^2 = 16*16`
`2^8 = 4^4 = 16^2 = 256`
The solution is `2^8 = 256.`
The value of 2 raised to the 8th power has to be determined.
`2^8 = (2^2)^4 = 4^4 = (4^2)^2 = 16^2 = 256`
2 raised to the 8th power is 256