Question

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

state any restrictions on the variable(s) if they exist.

PLEASE HELP (30 points)

Answer 1

`a\\eq 0 \text{ and } b\\eq 0`

Explanation:

So we have the rational expression:

`(-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\\eq 0 \text{ or }b\\eq 0`

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