Question

Please help me, I Am getting-28 but I do t think it is correct

Answer 1

-28

Explanation:

`-(2-2^3)^2-4 \cdot (-2)`

We going to use PE(MD)(AS).

So P means ( ).

We do have operations to perform in the ( ).

We have
`2-2^3` in the first set of ( ) and (-2) in the second set of ( ).

There are no operations in the second set containing -2.

So we are just focusing on the
`2-2^3` right now.

You have subtract and exponent here.

Exponents come first in PE(MD)(AS) so we will perform that first.

`2-2^3=2-8=-6`

Let's go back to the original problem now.

`-(2-2^3)^2-4 \cdot (-2)`

`-(-6)^2-4 \cdot(-2)`

Now there are no longer any operations grouped together by use of ( ).

It on to the rest of PE(MD)(AS).

So now we are doing the E part, the exponents.

`-(36)-4 \cdot(-2)`

Now there is multiplication and subtraction left.

(MD) comes before (AS) so we do the multiplication and then the subtraction. So I'm going to do 4(-2) now:

`-(36)-(-8)`

Subtraction is addition of the opposite so you could write:

`-(36)+8`

We don't really need ( ) around the first number:

`-36+8`

36-8 is 28 but since 36>8 and 36 has a negative sign on it, the answer is -28.