Answer
$x^{11} y^5 z^{-3}$
Work Step by Step
Here, we have $x^{15} y^{12}z^{8}=a \times x^{4} y^{7} z^{11}$
Now,
$a= \dfrac{ x^{15} y^{12}z^{8}}{x^{4} y^{7} z^{11}}$
This gives:
$a=x^{15-4} \times y^{12-7} \times z^{8-11}=x^{11} y^5 z^{-3}$