If $*$ represents an operation defined by $a*b=a^b+b$, find $(1*2)*3$.
This problem involves a custom operation, so I need to follow the definition given in the problem. First, I need to evaluate what is inside the parentheses, which is $1*2$. By the definition of $*$, $1*2=1^2+2=3$. Now I have $(1*2)*3=3*3$. Again, by the definition of $*$, $3*3=3^3+3=27+3=30$. 