Question

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

• 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

$a^{m+n-p}$

$\text{We know that for any integer: m, n and a, (a}\ne 0),a^m\times a^n=a^{m+n}\frac{a^m}{a^n}=a^{m-n}\text{So,}\frac{\left(a^m\right)\times \left(a^n\right)}{\left(a^p\right)}=\frac{a^{m+n}}{a^p}=a^{m+n-p}$