Zadanie 2
a) [tex]5^6 * 5^2 *5^4= 5^{12}[/tex] b) [tex]7^2 *7^5 *7 = 7^8[/tex]
c) [tex]3^4 * 3 * 3^5 = 3^{10}[/tex] d) [tex]2*2^5 *2^8 = 2^{14}[/tex]
e) [tex]4*4^2*4^9 = 4^{12}[/tex] f) [tex]6^2 * 6^5 * 6^8 = 6^{15}[/tex]
Zadanie 3
a) [tex]\frac{2^{10}}{2^5*2^2} = \frac{2^{10}}{2^7} = 2^3[/tex] b) [tex]\frac{7^{15}}{7^8 * 7^2} = \frac{7^{15}}{7^{10}} = 7^5[/tex]
c) [tex]\frac{5^{12}}{5^7*5} = \frac{5^{12}}{5^8} = 5^4[/tex] d) [tex]\frac{2^6 * 2^3}{2^9} = \frac{2^9}{2^9} = 1[/tex]
e) [tex]\frac{6^7*6^3}{6^2} = \frac{6^{10}}{6^2} = 6^8[/tex] f) [tex]\frac{3^{12} *3}{3^9} = \frac{3^{13}}{3^9} = 3^4[/tex]
g) [tex]\frac{4^3 * 4^5}{4^8} = \frac{4^8}{4^8} = 1[/tex]
Zadanie 4
a) [tex]\frac{a^6 * a^5}{a^5 * a^2} = \frac{a^9}{a^7} = a^2[/tex] b) [tex]\frac{a^{13} * a}{a^7 *a^3} = \frac{a^{14}}{a^{10}} = a^4[/tex]
c) [tex]\frac{a^{12} : a^4}{a^2 * a^3} = \frac{a^8}{a^5} = a^3[/tex] d) [tex]\frac{a^{15} : a}{a^4 * a^2} = \frac{a^{14}}{a^6} = a^8[/tex]
e) [tex]\frac{a^9 : a^3}{a^5 : a^2} = \frac{a^6}{a^3} = a^3[/tex] f) [tex]\frac{a^8 : a}{a^3 * a} = \frac{a^7}{a^4} = a^3[/tex]
g) [tex]\frac{a^8 * a^2}{a^9 : a} = \frac{a^{10}}{a^8} = a^2[/tex]
