To calculate: The restriction on the variable for rational expression frac{6c}{7a^{3}b^{2}}

The restriction on the variable for rational expression $\frac{6c}{7a^3{b}^2}area\ne 0andb\ne 0.$
Given Information:
The provided rational expression is $\frac{6c}{7a^3{b}^2}.$
Formula used:
The standard form of rational expression is $\frac{p(x)}{q(x)}.$
Where, p (x) and q(x) are polynomial and $q(x)\ne 0.$
Calculation:
Consider the rational expression, $\frac{6c}{7a^3{b}^2}.$
For the expression $\frac{6c}{7a^3{b}^2},ifa=0$ were substituted for a, the denominator would be zero.
If $b=0$ were substituted for b, the denominator would be zero.
Hence, for this expression $\frac{6c}{7a^3{b}^2},a\ne 0andb\ne 0$
If, either a or b were zero. Then the product would be zero.
Therefore, the restriction on the variable for rational expression $\frac{6c}{7a^3{b}^2},area\ne 0andb\ne 0.$