1. The problem is to simplify the expressions involving powers of 8 and 1. 2. Recall the rule for dividing powers with the same base: $$\frac{a^m}{a^n} = a^{m-n}$$ where $a$ is the base and $m,n$ are exponents. 3. Simplify each expression: - $$\frac{8^{14}}{8^2} = 8^{14-2} = 8^{12}$$ - $$8^{12}$$ is already simplified. - $$8^{7}$$ is already simplified. - $$8^{16}$$ is already simplified. - $$1^{7} = 1$$ because any number to the power of 0 is 1, and 1 to any power remains 1. 4. Final simplified expressions are: - $$8^{12}$$ - $$8^{12}$$ - $$8^{7}$$ - $$8^{16}$$ - $$1$$