Answer:
[tex]a\neq 0 \text{ and } b\neq 0[/tex]
Step-by-step explanation:
So we have the rational expression:
[tex]\frac{-12a^3b^5}{4a^2b^7}[/tex]
In rational expressions, the restrictions of the expression would be the zeros of the denominator Therefore, set the denominator equal to zero and solve for its zeros:
[tex]4a^2b^7=0[/tex]
Zero Product Property:
[tex]4a^2=0\text{ or } b^7=0\\[/tex]
Solve for a and b:
[tex]4a^2=0 \text{ or } b^7=0\\a\neq 0 \text{ or }b\neq 0[/tex]
Therefore, the restrictions on the variables are that a and b cannot equal zero.
