1. **State the problem:** Simplify the expression $$\frac{3x^7 \cdot x^2}{x^9}$$ with no negative exponents. 2. **Use the laws of exponents:** When multiplying powers with the same base, add the exponents: $$x^a \cdot x^b = x^{a+b}$$. 3. **Apply the rule to the numerator:** $$3x^7 \cdot x^2 = 3x^{7+2} = 3x^9$$. 4. **Rewrite the expression:** $$\frac{3x^9}{x^9}$$. 5. **Divide powers with the same base:** Subtract the exponents: $$\frac{x^a}{x^b} = x^{a-b}$$. 6. **Apply the rule:** $$\frac{3x^9}{x^9} = 3x^{9-9} = 3x^0$$. 7. **Recall that any nonzero number to the zero power is 1:** $$x^0 = 1$$. 8. **Final simplified expression:** $$3 \times 1 = 3$$. **Answer:** $$3$$