Решите пожалуйста номер 6.34

6.34 1) [latex] 100^{5} : 1000^{2} = (10^{2})^{5} : (10^{3})^{2} = 10^{10} : 10^{6} =10^{4} = 10000 [/latex] 2) [latex] \frac{3^{10}*(3^3)^5}{(3^5)^4*3} = \frac{3^{10}*3^{15}}{3^{20}*3} = \frac{3^{25}}{3^{21}} =3^{4}=81[/latex] 3) [latex] \frac{4^3*16^2}{2^{12}} = \frac{(2^{2})^3*(2^{4})^2}{2^{12}} = \frac{2^6*2^8}{2^{12}} = \frac{2^{14}}{2^{12}} =2^2=4[/latex] 4) [latex] \frac{45^{10}}{5^8*3^{19}} = \frac{(3^2)^{10}*5^{10}}{5^8*3^{19}} = \frac{3^{20}*5^{10}}{5^8*3^{19}} = 3^1*5^2=3*25=75.[/latex]