Odpowiedź:
Zad. 6
a) [tex]5^{7}*5^{3}=5^{10}[/tex]
b) [tex]5^{7} : 5^{3}=5^{4}[/tex]
c) [tex]7^{3}*7^{5}=7^{8}[/tex]
d) [tex]7^{12}: 7^{6}=7^{6}[/tex]
e) [tex]3^{8} *3^{7} =3^{15}[/tex]
f) [tex]3^{8} :3^{6} =3^{2}[/tex]
g) [tex]2^{4}* 2^{5}= 2^{9}[/tex]
h) [tex]2^{10}: 2^{3} =2^{7}[/tex]
Zad. 7
a) [tex]3^{4} *3^{2}* 3^{4} =3^{10}[/tex]
b) [tex]2 *2^{2}* 2^{6}= 2^{9}[/tex]
c) [tex]5^{2}* 5* 5^{4} =5^{7}[/tex]
d) [tex]6^{4} *6^{3}: 6^{2} =6^{5}[/tex]
e) [tex]7^{3} *7^{4}: 7^{1}= 7^{6}[/tex]
f) [tex]3^{7} *3: 3^{4} =3^{4}[/tex]
g) [tex]2^{5} *2^{4}: 2^{3} =2^{6}[/tex]
h) [tex]5^{6} *5 :5^{3} =5^{4}[/tex]
i) [tex]6^{3} *6^{1}: 6^{2} =6^{2}[/tex]
Zad. 8
a) [tex]4 * 2^{7} = 2^{2} *2^{7} = 2^{9}[/tex]
b) [tex]3^{8} *9 = 3^{8} *3^{2} = 3^{10}[/tex]
c) [tex]25 * 5^{6} = 5^{2} * 5^{6}=5^{8}[/tex]
d) [tex]8 * 2^{4}= 2^{3} *2^{4} = 2^{7}[/tex]
e) [tex]1000*10^{6}=10^{3}*10^{6}=10^{9}[/tex]
Zad. 9
a) [tex]2^{6}:4=2^{6}:2^{2}=2^{4}[/tex]
b) [tex]6^{5} :36=6^{5}: 6^{2}=6^{3}[/tex]
c) [tex]5^{7}:125= 5^{7}: 5^{3}= 5^{4}[/tex]
d) [tex]3^{8}:27=3^{8} :3^{3}=3^{5}[/tex]
e) [tex]10^{9}:100000=10^{9}:10^{5}=10^{4}[/tex]
