What is 2 raised to the 8th power?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

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.`

Approved by eNotes Editorial
An illustration of the letter 'A' in a speech bubbles

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

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial