We need to evaluate the expression:
[tex]8+4^2\cdot2[/tex]
We start by evaluating the power 4²:
[tex]4^2=4\cdot4=16[/tex]
And multiplication has priority over addition. Thus, we evaluate the product:
[tex]4^2\cdot2=16\cdot2=32[/tex]
Then, the addition:
[tex]8+4^2\cdot2=8+32=40[/tex]
Answer: 40
