Question

Write ${12}^6÷{12}^4$ as a single exponent.

Answer 1

As we know that for any non-zero integer $\text{'}a\text{'}$ and natural numbers $m$ and $n$ where $m>n$, we have;

$\frac{a^m}{a^n}=a^{m-n}$, i.e., we will subtract the powers in case we have same base and different powers in the division.

So, according to this,${12}^6÷{12}^4$$={12}^{6-4}={12}^2$.

Hence, ${12}^6÷{12}^4$ as a single exponent will be equal to ${12}^2$.