Question

Carry out the following division: $\frac{28{\mathrm{x}}^4}{56\mathrm{x}}$

Answer 1

Given: $\frac{28{\mathrm{x}}^4}{56\mathrm{x}}$

$\begin{array}{rcl}\frac{28{\mathrm{x}}^4}{56\mathrm{x}}& =& \frac{28{\mathrm{x}}^4}{56{\mathrm{x}}^1}\\ & =& \frac{28}{56}\times \frac{{\mathrm{x}}^4}{{\mathrm{x}}^1}\left[\mathrm{Note}:\frac{{\mathrm{a}}^{\mathrm{m}}}{{\mathrm{a}}^{\mathrm{n}}}={\mathrm{a}}^{\mathrm{m}-\mathrm{n}}\right]\\ & =& \frac{1}{2}\times {\mathrm{x}}^{4-1}\\ & =& \frac{1}{2}\times {\mathrm{x}}^3\\ & =& \frac{{\mathrm{x}}^3}{2}\end{array}$

Hence, $\frac{28{\mathrm{x}}^4}{56\mathrm{x}}=\frac{{\mathrm{x}}^3}{2}$