Obliczenia
[tex]\frac{2\cdot16^3}{8^4}=\frac{2\cdot(2^4)^3}{(2^3)^4}=\frac{2\cdot2^{4\cdot3}}{2^{3\cdot4}}=\frac{2\cdot2^{12}}{2^{12}}=\frac{2^{1+12}}{2^{12}}=\frac{2^{13}}{2^{12}}=2^{13-12}=\boxed{2^1}\\[/tex]
Wykorzystane wzory
[tex](a^m)^n=a^{m\cdot n}\\\\a^m\cdot a^n=a^{m+n}\\\\a^m:a^n=a^{m-n}[/tex]