Question

What is the value of the expression $\frac{a^m}{a^n}$ ?

• A. $a^{mn}$
• B. $a^{m-n}$
• C. $a^{\frac{m}{n}}$
• D. $a^{m+n}$

Answer 1

The correct option is B

$a^{m-n}$

We know that when we operate with exponents, we consider only the powers and the operator between the two numbers like in this case, the base is same, i.e., $a$, so, if we divide $a^m$ and $a^n$, we get $a^{m-n}$.