Zapisz w postaci jednej potęgi. a) [latex] frac{ 7^{2}. 7^{15}.( 7^{2} )^{6} }{ 7^{0}. 7^{5} } [/latex] b) [latex] frac{(- 8)^{5}-(- 8)^{13}.( 8^{5}) ^{0} }{(- 8)^{1}.(- 8)^{3} } [/latex]

[latex]a)\\frac{7^{2}*7^{15}*(7^{2})^{6}}{7^{0}*7^{5}} = frac{7^{2+15}*7^{2*6}}{1*7^{5}} =frac{7^{17}*7^{12}}{7^{5}}=frac{7^{17+12}}{7^{5}}= frac{7^{29}}{7^{5}}= 7^{29-5} = 7^{24}[/latex] [latex]b)\\frac{(-8)^{5}-(-8)^{13}*(8)^{0}}{(-8)^{1}*(-8)^{3}} = frac{(-8)^{5}-(-8)^{13}*1}{(-8)^{4}} = frac{(-8)^{5}}{(-8)^{4}}-frac{(-8)^{13}}{(-8)^{4}} = -8-(-8)^{9}=\\=-8+8^{9}[/latex]

[latex] frac{7^{2}*7^{15}*7^{12}}{7^{0}*7^{5}} = frac{7^{29}}{7^{5}} =7^{24}[/latex] [latex] frac{(-8)^{5}-(-8)^{13}*(8^{5})^{0}}{(-8)^{1}*(-8)^{3}} = frac{(-8)^{5}-(-8)^{13}}{(-8)^{4}} = -8-(-8)^{9}=-8+8^{9}[/latex]