Question

(-12a^3b^5)/(4a^2b^7)

Answer 1

Answer:

$a\neq 0 \text{ and } b\neq 0$

Step-by-step explanation:

So we have the rational expression:

$\frac{-12a^3b^5}{4a^2b^7}$

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:

$4a^2b^7=0$

Zero Product Property:

$4a^2=0\text{ or } b^7=0$

Solve for a and b:

$4a^2=0 \text{ or } b^7=0\\a\neq 0 \text{ or }b\neq 0$

Therefore, the restrictions on the variables are that a and b cannot equal zero.