1. The problem asks to simplify expressions involving powers of $x$ and express the answers in exponential form. 2. The key formula to use is the laws of exponents: - When multiplying powers with the same base: $$x^a \cdot x^b = x^{a+b}$$ - When dividing powers with the same base: $$\frac{x^a}{x^b} = x^{a-b}$$ 3. Important rules: - You add exponents when multiplying. - You subtract exponents when dividing. - Negative exponents mean the reciprocal power. 4. To solve each part, apply these rules step-by-step: - For multiplication, add the exponents. - For division, subtract the exponents. 5. Do not forget to simplify the exponent as much as possible. This explanation helps you understand how to approach the simplification without actually performing the calculations.