1. The problem is to simplify the expression $\frac{h^{14}}{h^{8}}$. 2. Use the rule of exponents for division: $\frac{a^m}{a^n} = a^{m-n}$. 3. Apply the rule: $$\frac{h^{14}}{h^{8}} = h^{14-8}$$ 4. Simplify the exponent: $$h^{14-8} = h^{6}$$ 5. Therefore, the simplified form of the expression is $h^{6}$.