[tex]d) \\ \frac{5^{5}*25^{-2}}{5^{-3}*125}=\frac{3125*1/25^{2}}{1/125*125}=\frac{3125/625}{1}=\frac{5}{1}=5 \\ e) \\ \frac{(0,1)^{5}*(0,1)^{-3}}{0,001}=\frac{0,00001*1/0,1^{3}}{0,001}=\frac{0,00001*1/0,001}{0,001}=\frac{0,0001*100}{0,001}=\frac{0.001}{0,001}=1[/tex]
[tex]f) \\ \frac{6^{-10}}{81^{-2}*32^{-2}}=\frac{1/6^{10}}{1/81^{2}*1/32^{2}}=\frac{1/60466176}{1/6561*1/1024}=\frac{0,00000001653}{0,0015241579*0,0009765625}[/tex]
[tex]g) \\ \frac{15^{-3}}{9^{-2}*125^{-1}}=\frac{1/15^{3}}{1/9^{2}*1/125^{1}}=\frac{1/3375}{1/81*1/125}= \frac{0,000(296)}{0,(012345679)*0,008}[/tex]