[tex]\frac{2^7*3^7+2^2*2^5*3^7}{6^8}=\frac{2^7*3^7+2^{2+5} *3^7}{ (2*3)^8}=\frac{2^7*3^7+2^{7} *3^7}{ 2^8*3^8}=\frac{2*2^7*3^7 }{ 2^8*3^8}=\\\\=\frac{ 2^{1+7}*3^7 }{ 2^8*3^8}= \frac{ 2^{8}*3^7 }{ 2^8*3^8}= \frac{ 3^7 }{ 3^8}=\frac{ 3^7 }{ 3^8}=\frac{3^7 }{ 3^7*3}=\frac{1}{3}\\\\korzystamy\ z\ wlasnosci\ poteg\ \ licznik :\\\\1.\ \ Mnozenie\ poteg\ o\ tych\ samych\ podstawach:\\\\ a^n*a^m=a^{n+m}\\\\Licznik\\\\2. Mnozenie\ poteg\ o\ tym\ samym\ wykladniku:\\\\(a*b)^n=a^n*b^n[/tex]
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[tex]\frac{2^7*3^7+2^2*2^5*3^7}{6^8}=\frac{2^7*3^7+2^{2+5} *3^7}{ (2*3)^8}=\frac{2^7*3^7+2^{7} *3^7}{ 2^8*3^8}=\frac{2*2^7*3^7 }{ 2^8*3^8}=\\\\=\frac{ 2^{1+7}*3^7 }{ 2^8*3^8}= \frac{ 2^{8}*3^7 }{ 2^8*3^8}= \frac{ 3^7 }{ 3^8}=\frac{ 3^7 }{ 3^8}=\frac{3^7 }{ 3^7*3}=\frac{1}{3}\\\\korzystamy\ z\ wlasnosci\ poteg\ \ licznik :\\\\1.\ \ Mnozenie\ poteg\ o\ tych\ samych\ podstawach:\\\\ a^n*a^m=a^{n+m}\\\\Licznik\\\\2. Mnozenie\ poteg\ o\ tym\ samym\ wykladniku:\\\\(a*b)^n=a^n*b^n[/tex]