8( {4}^(2)) + {2}^(4) What's the answer to that, and is it equal to: {12}^(2) (Asking again because the last one helped, but didnt really.) ​

Question

`8( {4}^(2)) + {2}^(4)`

What's the answer to that, and is it equal to:

`{12}^(2)`
(Asking again because the last one helped, but didnt really.)
​

Answer 1

The given expression
`8(4)^2+2^4` is equal to 144 or
`12^2`

Solution:

Given expression is:

`8(4)^2+2^4`

We have to evaluate the above given expression

We know that,

`(4)^2 = 4 * 4 = 16`

`2^4 = 2 * 2 * 2 * 2=16`

Substituting these in above given expression, we get

`8(4)^2+2^4=8 * 16+16\\\\8(4)^2+2^4= 128+16\\\\8(4)^2+2^4=144`

Also we know that,

`12 * 12 = 144`

Therefore,

`8(4)^2+2^4=144 = 12 * 12 = 12^2`

Thus the given expression
`8(4)^2+2^4` is equal to 144 or
`12^2`