Question

If $a$ is a non-zero integer and $m$ and $n$ are any integers, then $a^m\times a^n$ = .

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

Answer 1

The correct option is B $a^{m+n}$

When two powers with the same base are multiplied, their exponents get added. This is called the product law.

$\therefore a^m\times a^n=a^{m+n}$