Calculate the total number of prime factors in the expression $(4)^{11} \times (5)^{5} \times (3)^{2} \times (13)^{2}$.

$\frac{5}{6} \div \frac{6}{7} \times ? - \frac{8}{9} \div 1 \frac{3}{5} + \frac{3}{4} \times 3 \frac{1}{3} = 2 \frac{7}{9}$

If the square of the sum of three positive consecutive natural numbers exceeds the sum of their squares by $292$,then what is the largest of the three numbers?

If $6088 \times ? = 7610$,then the value of $?$ is

If $(\sqrt{3})^{5} \times 9^{2} = 3^{n} \times 3 \sqrt{3}$,then find the value of $n$.

If $x^{a} \cdot x^{b} \cdot x^{c} = 1$,then the value of $a^{3} + b^{3} + c^{3}$ is