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

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