1) $$x^9 \cdot x^2 = x^{9+2} = x^{11}$$
2) $$a \cdot a^7 = a^{1+7} = a^8$$
3) $$b^3 \cdot b^3 = b^{3+3} = b^6$$
4) $$7^{11} \cdot 7^3 = 7^{11+3} = 7^{14}$$
5) $$m^4 \cdot m^5 \cdot m^{11} = m^{4+5+11} = m^{20}$$
6) $$c^{19} \cdot c \cdot c^3 = c^{19+1+3} = c^{23}$$
7) $$(a + b)(a + b)^7 = (a + b)^{1+7} = (a + b)^8$$
8) $$n^9 \cdot n^4 \cdot n \cdot n^3 = n^{9+4+1+3} = n^{17}$$
9) $$(y - 1)^5(y - 1)^4 = (y - 1)^{5+4} = (y - 1)^9$$