Question

If $a\ne 0$ and $m=n$, then $\frac{a^m}{a^n}$ = .

• A. 1
• B. $a^{2m}$
• C. 0.0

Answer 1

The correct option is A 1

When two powers with the same base are divided, their exponents get subtracted.
i.e., $a^m÷a^n=a^{m-n}$
When $m=n$, $\frac{a^m}{a^n}=a^{m-n}=a^{m-m}=a^0=1.$