[tex]\frac{5^{9}}{5^2 * 5^3} =\\ \\\frac{5^9}{5^5} = \\ \\\\5^4-5 - = 625 - 5 = 620\\\\[/tex]
[tex]-\frac{64*5^6}{10^3} =\\\\-\frac{2^6*5^6}{2^3*5^3} = \\\\-2^3*5^3 = -10^3 = -1000[/tex]
[tex]27*(\frac{5}{4}*\frac{3}{4})^3\\ \\27*(5*\frac{1}{3}) \\ \\27*(\frac{5}{3})^3 \\\\27*\frac{125}{27} = 125[/tex]
[tex]-3^2*0,5^2*(\frac{2}{3})^2 \\\\-(3*0,5*\frac{2}{3})^2\\\\-(\frac{1}{2}*2)^2\\\\-1^2 = -1[/tex]