Question

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

Answer 1

$\frac{2^3\times 3^4\times 4}{3\times 32}$

$=\frac{2^3\times 3^4\times 2^2}{3\times 2^5}$

$=2^{(3+2-5)}\times 3^{(4-1)}$

$=2^0\times 3^3$

$=3^3$

Formula:

$i)a^m\times a^n=a^{(m+n)}$

$ii)\frac{a^m}{a^n}=a^{(m-n)}$

$iii)a^0=1$