Question

$\frac{\left(a^m\right)\times \left(a^n\right)}{\left(a^p\right)}$ can be rewritten as:

• A. $a^{m-p-n}$
• B. $a^{m+n-p}$
• C. $a^{n-p-m}$
• D. $a^{p-m+n}$

Answer 1

The correct option is B

$a^{m+n-p}$

We know that $a^m$ $\times$ $a^n=a^{m+n}$

and $\frac{\left(a^m\right)}{\left(a^n\right)}=a^{m-n}$

So, $\frac{\left(a^m\right)\times \left(a^n\right)}{\left(a^p\right)}=a^{m+n-p}$