Question

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

$x^5÷x^3$

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, $x^5÷x^3$$=x^{5-3}$ where $a=x,m=5,n=3$

$=x^2$.

Therefore, $x^5÷x^3$$=x^2$.