Simplify:

$\frac{7^8 * 12^8}{14^8 * 6^8}$

$\frac{7^8 * 12^8}{14^8 * 6^8}$

Using Exponent Product rule, $(a * b)^n$ can be written as $a^n * b^n$

$12^8$ can be written as $2^8 * 6^8$ and $14^8$ can be written as $2^8 * 7^8$

⇒ $\frac{7^8 * 2^8 * 6^8}{2^8 * 7^8 * 6^8}$

⇒ $\frac{7^{8-8} * 2^{8-8} * 6^{8-8}}{1}$

⇒ ${7^{8-8} * 2^{8-8} * 6^{8-8}}$

⇒ ${7^0 * 2^0 * 6^0}$

⇒ $1$