[tex]a) \ 5^{3}\cdot5^{4} = 5^{3+4} = 5^{7}\\\\b) \ (-4)^{7}\cdot(-4)^{5} = (-4)^{7+5} = (-4)^{12}\\\\c) \ 6\cdot6^{8} = 6^{1+8} = 6^{9}\\\\d) \ 3^{9}:3^{5} = 3^{9-5} = 3^{4}\\\\e) \ \frac{2^{8}}{2^{3}} = 2^{8-3} = 2^{5}\\\\f) \ \frac{(-5)^{7}}{-5} = (-5)^{7-2} = (-5)^{6}\\\\g) \ 7^{19}\cdot7^{10} = 7^{19+10} = 7^{29}\\\\h) \ (-6)^{7}:(-6)^{6} = (-6)^{7-6} = (-6)^{1}\\\\i) \ 4^{150}:4^{50} = 4^{150-50} = 4^{100}[/tex]
