1.
[tex]a) \ 125^{5}:(25^{4}\times5^{6})=(5^{3})^{5}:[(5^{2})^{4}\times5^{6}] = 5^{15}:(5^{8}\times5^{6}) = 5^{15}:5^{14} = 5^{1} = 5\\\\b) \ (10000^{12}:1000^{9})^{2} = [(10^{4})^{12}:(10^{3})^9}]^{2} = (10^{48}:10^{27})^{2} =(10^{21})^{2} = 10^{42}[/tex]
2.
[tex]a) \ 415 \ km = 415 \ 000 \ m = 4,15\cdot10^{5} \ m\\\\b) \ 7,8 \ km = 7 \ 800 \ m = 7,8\cdot10^{3} \ m[/tex]
Wyjaśnienie:
[tex]a^{m}\cdot a^{n} = a^{m+n}\\\\a^{m}:a^{n} =a^{m-n}\\\\(a^{m})^{n} = a^{m\cdot n[/tex]
