Question

Simplify and express the answer in exponential form :
$\frac{2^3\times 3^5\times 8}{27\times 36}$

Answer 1

A] $\frac{2^3\times 3^5\times 8}{27\times 36}$

$=\frac{2^3\times 3^5\times 2^3}{3^3\times 6^2}$

$=\frac{2^{3+3}\times 3^{5-3}}{(2\times 3{)}^2}$

$=\frac{2^6\times 3^2}{2^2\times 3^2}$

$=2^{6-2}=2^4=16$