To simplify the expression, we follow GEMDAS. We start with grouping symbols (there's none here), followed by exponents, then multiplication or division, and finally, addition or subtraction.
[tex]\begin{gathered} 5+3\cdot2-4^2\cdot-2 \\ \\ =5+3\cdot2-16\cdot-2 \\ \\ =5+6-(-32) \\ \\ =11+32 \\ \\ =43 \end{gathered}[/tex]
The answer is 43.
