Question

The value of $a^m\times a^n$ is equal to $a^{mn}$.

• A. True
• B. False

Answer 1

The correct option is B False

Laws of exponents tells us that:
$a^m\times a^n=a^{m+n}$ ($\ne a^{mn}$)

If the bases are same, then the exponents gets added.

For example, $2^2\times 2^3=(2\times 2)(\times 2\times 2\times 2)=2\times 2\times 2\times 2\times 2=2^5=2^{(2+3)}\ne 2^{(2\times 3)}$

The value of $a^m\times a^n$ is $a^{m+n}$ and not $a^{mn}$. Therefore, option (b.) is the correct answer.