Answer:
The exponent on variable z is -5
Step-by-step explanation:
[tex]\frac{27x^2z}{-3x^2z^6}[/tex]
To simplify it we apply property of exponents
a^m / a^n = a^m-n
LEts divide the number first
27/ -3= -9
we have x^2 at the top and bottom . so we cancel it out
[tex]\frac{z}{z^6} =\frac{z^1}{z^6} =z^{-5}[/tex]
Now combine all the terms
-9z^-5
The exponent on variable z is -5
