Question

Simplify and express the following in exponential form:
$\frac{2^3\times 3^4\times 4}{3\times 32}$

Answer 1

$\frac{2^3\times 3^4\times 4}{3\times 32}=\frac{2^3\times 3^4\times 2^2}{3\times 2^5}=\frac{2^{3+2}\times 3^4}{3\times 2^5}$
$=\frac{2^5\times 3^4}{3\times 2^5}=2^{5-5}\times 3^{4-3}$
$=2^0\times 3^3=1\times 3^3=3^3$
$[\because a^m\times a^v=a^{m+v}][\because a^m÷a^v=a^{m-v}]$