$a-4^{3} \cdot 4^{2}=$
\(\boxed{a - 1024}\)
Step 1 :Calculate \(4^3\) and \(4^2\):
Step 2 :\(4^3 = 4 \cdot 4 \cdot 4 = 64\)
Step 3 :\(4^2 = 4 \cdot 4 = 16\)
Step 4 :Multiply \(4^3\) and \(4^2\):
Step 5 :\(64 \cdot 16 = 1024\)
Step 6 :Subtract the result from a:
Step 7 :\(a - 1024\)
Step 8 :\(\boxed{a - 1024}\)