1. **State the problem:** Simplify the expression $$\frac{x^6}{x^2}$$. 2. **Recall the rule for dividing powers with the same base:** When dividing powers with the same base, subtract the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$ 3. **Apply the rule:** $$\frac{x^6}{x^2} = x^{6-2}$$ 4. **Simplify the exponent:** $$x^{6-2} = x^4$$ 5. **Final answer:** $$x^4$$ This means the simplified form of $$\frac{x^6}{x^2}$$ is $$x^4$$.