[tex]\dfrac{5^6}{16}\cdot\dfrac{2^7}{125}=\dfrac{5^6}{2^4}\cdot\dfrac{2^7}{5^3}=2^3\cdot5^3=10^3=1000[/tex]
[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^{6-3}\cdot2^{7-4} = 5^{3}\cdot2^{3} = (5\cdot2)^{3} = 10^{3} = 1000[/tex]
