Cześć ;-)
Obliczenia
[tex]\frac{(7\cdot5)^5}{7^4\cdot5^4}=\frac{7^5\cdot5^5}{7^4\cdot5^4}=\frac{7^5}{7^4}\cdot\frac{5^5}{5^4}=\\\\=7^{5-4}\cdot5^{5-4}=7^1\cdot5^1=7\cdot5=\boxed{35}[/tex]
Wykorzystane wzory
[tex](a\cdot b)^m=a^m\cdot b^m\\\\a^m:a^n=a^{m-n}[/tex]
Pozdrawiam! ~ JulkaOdMatmy
[tex]\frac{(7\cdot5)^{5}}{7^{4}\cdot5^{4}} = \frac{35^{5}}{(7\cdot5)^{4}} = \frac{35^{5}}{35^{4}} = 35^{5-4} = 35^{1} = 35[/tex]
Wyjaśnienie:
[tex]a^{n}\cdot b^{n} = (a\cdot b){^{n}[/tex]
[tex]a^{m}:a^{n} = a^{m-n}[/tex]