Question

MATH) choose an expression equivalent to (-4)^4
(-4)^2​​

Answer 1

Third option

Explanation:

To find the answer solve the given expression and then solve the options until we find the option that is equivalent to the answer of the given expression.


`((-4)^4)/((-4)^2)`
Solve:

`((-4)^4)/((-4)^2)\\-4^4=256\\-4^2=16\\256/16=16\\=16`

The equivalent option needs to equal 16:
Option C:

`((-4)^6)/((-4)^4)`
Solve:

`((-4)^6)/((-4)^4)\\-4^6=4096\\-4^4=256\\4096/256=16\\=16`

Option C is equal to the given expression therefore option C is your answer.

I hope this helps.