The answer you are looking for is -12z^6. To find this answer, you first multiply the two values (4 and -3).
4 × -3 = -12
Next, you multiply the variables and exponents. When multiplying with exponents, you simply just add the exponents together. For this instance, simple just add z3 and z3 to get z^6.
Thus meaning your final answer as a monomial is -12z^6. Here's an image to show how i solved the problem. I hope this helps!!