Question

2(-4^2) - 2(2^4) + 3^2 - -4^2 + 2^4 = ? Please explain, I got 41 but I highly doubt I'm right.

Answer 1

PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)
Parenthesis
(-4^2) - inside that we do Exponents first. That makes it (-16).

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

Next, we have Exponents

3^2=9, 4^2=16, and 2^4=16

Putting that all together so far, we have 2(-16) -2(16) +9 - -16 +16

Taking Multiplication next, we have 2(-16)=-32 and 2(16)=32.

Then, we have -32 - -32 +9 - -16 +16

Making the double negatives positive (-1*-1=1), we get

-32+32+9+16+16

After that, we add -32 and 32 together to get 0, add 16 and 16 to get 32, then add 9 to 32 and get 41.

Congratulations - you got it right!