[tex]Zad. 2\\\frac69=\frac23=0,66666666.... = 0,(6)[/tex]
[tex]Zad. 3\\[/tex]
[tex]a)\\\\\frac{5^7*5^0*5}{5^3}=\frac{5^{7+0+1}}{5^3}=5^{8-3}=5^5[/tex]
[tex]b)\\\\\frac{(a^5)^3*a^6*a^{14}}{a^{20}:a^5}=\frac{a^{15+6+14}}{a^{20-5}}=\frac{a^{35}}{a^{15}}=a^{35-15}=a^{20}[/tex]
[tex]c)\\\\(\frac{(x^-2)^7*(x^{17})^2}{(x^{17})^{-2}:x^{24}})^0=1 \text{ poniewaz kazda liczba podniesiona do potegi 0 daje 1}[/tex]
Wzory:
[tex]a^x*a^y=a^{x+y}\\a^x:a^y=a^{x-y}\\(a^x)^y=a^{x*y}\\a^0=1[/tex]
