Question

Which of the following expresses product law of exponents?

• A. $(a^m{)}^n=a^{mn}$
• B. $a^m\times a^n=a^{m+n}$
• C. $a^m÷a^n=a^{m-n}$
• D. $a^m÷b^m={\left(\frac{a}{b}\right)}^m$

Answer 1

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

The product law of exponents states that,

when multiplying two powers that have the same base,

we can add their exponents.
$\therefore a^m\times a^n=a^{m+n}$

So, option $B$ is correct.