Question

Carry out the following division: $66{\mathrm{pq}}^2{\mathrm{r}}^3÷11{\mathrm{qr}}^2$

Answer 1

Find: $66{\mathrm{pq}}^2{\mathrm{r}}^3÷11{\mathrm{qr}}^2$

$\begin{array}{rcl}\frac{66{\mathrm{pq}}^2{\mathrm{r}}^3}{11{\mathrm{qr}}^2}& =& \frac{66}{11}\times \mathrm{p}\times \frac{{\mathrm{q}}^2}{{\mathrm{q}}^1}\times \frac{{\mathrm{r}}^3}{{\mathrm{r}}^2}\\ & =& 6\times \mathrm{p}\times {\mathrm{q}}^{2-1}\times {\mathrm{r}}^{3-2}\left[\mathrm{Note}:\frac{{\mathrm{a}}^{\mathrm{m}}}{{\mathrm{a}}^{\mathrm{n}}}={\mathrm{a}}^{\mathrm{m}-\mathrm{n}}\right]\\ & =& 6\mathrm{pqr}\end{array}$

Hence, $66{\mathrm{pq}}^2{\mathrm{r}}^3÷11{\mathrm{qr}}^2=6\mathrm{pqr}$