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12x³y³z is the answer. You just have to multiply first the numerical coefficient and add the exponent of the same variable
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(-6xyz) (-2xy) (xy) 

Multiply the 1st, 2nd and 3rd monomial like this:

(-6xyz) (-2xy) (xy)=(-6)(-2) (x)(x)(x) (y)(y)(y) 

 The result is 12x³y³z, Why the rusult is like this?
Ans: x•x•x = x³ ----- we add the exponent that is why the result is x³ 
        y•y•y = y³ ----- we add the exponent that is why the result is y³
              z = z¹ or z

Remember: The exponent of the Variables x, y, and z is one (1) and it can be write like this x¹, y¹ and z¹. 

Try to recall the laws of exponent...

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