What is 2 raised to the 8th power?

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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.`

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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

Approved by eNotes Editorial Team