A. -(-23)+|-13|-|-4^2|=23+13-16=20
B. \(\left(3^{15}.4+5.3^{15}\right):3^{16}\)
=\(\left[3^{15}\left(4+5\right)\right]:3^{16}\)
= \(\left(3^{15}.9\right):3^{16}\)
= \(\left(3^{15}.3^2\right):3^{16}\)
= \(3^{17}:3^{16}\)
= \(3\)
C. \(1125:3^2+4^3.125-125:5^2\)
= \(125.9:9+4^3.125-125:5^2\)
= \(125+4^3.125-125:25\)
= \(125\left(1+64\right)-5\)
= \(125.65-5\)
= \(8125-5\)
= \(8120\)