Answer:
The quotient of given expression is [tex]-2y^{b-1}[/tex].
Step-by-step explanation:
The given expression is
[tex]12x^ay^b\div -6x^ay[/tex]
It can be written as
[tex]\frac{12x^ay^b}{-6x^ay}[/tex]
Cancel out the common factors.
[tex]-\frac{2x^ay^b}{x^ay}[/tex]
Using the properties of exponent.
[tex]-2x^{a-a}y^{b-1}[/tex] [tex][\because \frac{x^a}{x^b}=x^{a-b}][/tex]
[tex]-2x^{0}y^{b-1}[/tex]
[tex]-2(1)y^{b-1}[/tex]
[tex]-2y^{b-1}[/tex]
Therefore the quotient of given expression is [tex]-2y^{b-1}[/tex].
