Question

Write the following in exponential form assuming denominators not equal to zero:

$4^5÷4^2$

Answer 1

For any non-zero integer $a$, where $m$ and $n$ are whole numbers and $m>n$.

$a^m÷a^n=\frac{a^m}{a^n}=a^{m-n}$

So, $4^5÷4^2$$=4^{5-2}$ where $a=4,m=5,n=2$

$=4^3$.

Therefore, $4^5÷4^2$$=4^3$.