[tex]\frac{5^{6}}{16}\cdot\frac{2^{7}}{125} = \frac{5^{6}}{2^{4}}\cdot\frac{2^{7}}{5^{3}} = \frac{5^{6}}{5^{3}}\cdot\frac{2^{7}}{2^{4}} = 5^{3}\cdot2^{3} = (5\cdot2)^{3} = 10^{3} = 1000[/tex]
Wyjaśnienie:
[tex]\frac{a^{m}}{a^{n}} = a^{m-n}\\\\a^{n}\cdot b^{n} =(a\cdot b)^{n}[/tex]