Question

Find the simplified form of the following

$a)\frac{(x^{a+b}{)}^3.(x^{b+c}{)}^3.(x^{c+a}{)}^3}{(x^a.x^b.x^c{)}^6}$

$b\left)\right(\frac{x^{2-3n}.x^{4+3n}}{x^3}{)}^2$ [4 MARKS]

Answer 1

Application: 2 Marks Each

$a)\frac{x^{3a+3b}.x^{3b+3c}.x^{3a+3c}}{x^{6a+6b+6c}}$

$=\frac{x^{3a+3a+3b+3b+3c+3c}}{x^{6a+6b+6c}}$

$=\frac{x^{6a+6b+6c}}{x^{6a+6b+6c}}$

$=x^{6a+6b+6c-6a-6b-6c}$

$=x^{\circ }$

$=1$


$b)\frac{x^{4-6n}.x^{8+6n}}{x^6}$

$=\frac{x^{4-6n+8+6n}}{x^6}$

$=\frac{x^{12}}{x^{16}}$

$=x^{12-6}$

$=x^6$