1. **State the problem:** Simplify the expression $$qr^{-75}s^{66} \times q^{-5}rs \times q^{-1}r^{60}s^{28}$$. 2. **Recall the rules:** When multiplying terms with the same base, add their exponents: $$a^m \times a^n = a^{m+n}$$. 3. **Group like bases:** - For $q$: $$q^{1} \times q^{-5} \times q^{-1} = q^{1 + (-5) + (-1)}$$ - For $r$: $$r^{-75} \times r^{1} \times r^{60} = r^{-75 + 1 + 60}$$ - For $s$: $$s^{66} \times s^{1} \times s^{28} = s^{66 + 1 + 28}$$ 4. **Calculate exponents:** - $q^{1 - 5 - 1} = q^{-5}$ - $r^{-75 + 1 + 60} = r^{-14}$ - $s^{66 + 1 + 28} = s^{95}$ 5. **Write the simplified expression:** $$q^{-5} r^{-14} s^{95} = \frac{s^{95}}{q^{5} r^{14}}$$ **Final answer:** $$\frac{s^{95}}{q^{5} r^{14}}$$