Odpowiedź:
a)
[tex]\frac{(a^{2})^{3} * a^{5}}{a^{7}} = \frac{a^{6} * a^{5}}{a^{7}} = \frac{a^{11}}{a^{7}} = a^{4}[/tex]
b)
[tex]\frac{a^{13}}{a^{20} : (a^{6})^{2}} = \frac{a^{13}}{a^{20} : a^{12}} = \frac{a^{13}}{a^{8}} = a^{5}[/tex]
c)
[tex]\frac{(a^8)^5 : a^{23}}{a^2 * a^7} = \frac{a^{40} : a^{23} }{a^9} = \frac{a^{17}}{a^9} = a^8[/tex]
d)
[tex]\frac{(a^5 * a^2)^3 }{a^{10} : a^4} = \frac{(a^7)^3}{a^6} = \frac{a^{21}}{a^6} = a^{15}[/tex]
e)
[tex]\frac{(a^6)^2 * a^4}{(a*a^3)^3} = \frac{a^{12} * a^4}{(a^4)^3} = \frac{a^{16}}{a^{12}} = a^4[/tex]
f)
[tex]\frac{(a^3)^3 : a^2}{(a^2 * a)^2 *a} = \frac{a^9 : a^2}{(a^3)^2 * a} = \frac{a^7}{a^6 * a} = \frac{a^7}{a^7} = 1[/tex]
