Question

Simplify and express the given expression in exponential form.
$\frac{3\times 7^2\times {11}^8}{21\times {11}^3}$ [2 marks]

Answer 1

$\frac{3\times 7^2\times {11}^8}{21\times {11}^3}$
$=\frac{3\times 7^2\times {11}^8}{3\times 7\times {11}^3}$ ---[0.5 mark]
$=3^{1-1}\times 7^{2-1}\times {11}^{8-3}[\because a^m÷a^n=a^{m-n}]$ ---[0.5 mark]
$=3^0\times 7^1\times {11}^5$ ---[0.5 mark]
$=7\times {11}^5$ ---[0.5 mark]