a)[latex](-5)^{10-8}=(-5)^{2}=25[/latex] b)[latex](-3)^{1+2}=(-3)^{3}=-27[/latex] c)[latex](frac{7}{10}cdot frac{10}{7})^{6} - (frac{16}{10}cdot frac{10}{8})^{3}=1-2^3=1-8=-7[/latex] d)[latex](frac{9}{10}cdot frac{10}{9})^{9} - (frac{12}{10}cdot frac{5}{6})^{10}=1-1=0[/latex]
[latex]a)-5*(-5)^9:(-5)^8=(-5)^{10}:(-5)^8=(-5)^2=25\\ b)(-3)^7:(-3)^6*(-3)^2=(-3)^3=(-27)\\ c)(0,7)^6*(1 frac{3}{7})^6 -(1,6)^3:(0,8)^3=(frac{49}{70})^6*( frac{100}{70})^6- frac{16^3}{10^3}* frac{10^3}{8^3}=\ ( frac{49}{70}* frac{70}{100})^6-( frac{16}{8})^3=( frac{7}{7}* frac{10}{10})^6-(2)^3=1-8=-7\\ d)(0,9)^9* (frac{10}{9})^9-(1,2)^{10}:(1,2)^{10}=( frac{9}{10})^9*( frac{10}{9})^9-( frac{12}{10})^{10}:( frac{12}{10})^{10}=\ ( frac{9}{10} * frac{10}{9} )^9-1=1^9-1=1-1=0 [/latex]