AMC10 2019 10A, Problem 1

What is the value of \[2^{\left(0^{\left(1^9\right)}\right)}+\left(\left(2^0\right)^1\right)^9?\]

Solution: $2^{\left(0^{\left(1^9\right)}\right)}+\left(\left(2^0\right)^1\right)^9$ $=  1+1 = 2$ which corresponds to $2$. $\fbox{2}$.

Answer: 2