Question

All of the following are equivalent except _____.

(-2)^4
-2^4
(-2)(-2)(-2)(-2)
2^4

Answer 1

The correct answer is the second (-2^4). 1, 3 and 4 give you an answer of 16 and 2 gives you -16

Answer 2

The number at top also known as power tells us how many times the number is multiplied. The given options are:

1) The power 4 tells us -2 is multiplied 4 times to give 16.

`(-2)^(4)  = 16`

2) Here 2 is multiplied 4 times

`-2^(4) = -16`

3) Here -2 is multiplied four times to give 16.

(-2)(-2)(-2)(-2) = 16.

4)Here 2 is multiplied four times.

`2^(4) =16`

Options 1,3,4 all equal 16 .

All of the following are equivalent except
`-2^(4)`