[tex] \frac{1}{2}: \frac{2}{3}: \frac{3}{4}= \frac{1}{2}* \frac{3}{2}*\frac{4}{3}= \frac{1}{2}*2=1[/tex]
[tex] \frac{1}{28}:( \frac{2}{3}: \frac{3}{4})= \frac{1}{28}:( \frac{2}{3}* \frac{4}{3})= \frac{1}{28}: \frac{8}{9}=\frac{1}{28}* \frac{9}{8}= \frac{1*9}{28*8} = \frac{9}{224} [/tex]
[tex] \frac{13}{4}- \frac{3}{2}+ \frac{1}{3}- \frac{1}{6}= \frac{13*3}{4*3}- \frac{3*6}{2*6}+ \frac{1*4}{3*4}- \frac{1*2}{6*2}= \frac{39}{12}- \frac{18}{12}+ \frac{4}{12}- \frac{2}{12} [/tex][tex]= \frac{39-18+4-2}{12}= \frac{23}{12} [/tex] ≈ [tex]1 \frac{11}{12} [/tex], ≈1.91667
[tex]2^5*3^3*11^4*15* \frac{25}{121}*18=2^5*3^3*11^4*5*3* \frac{25}{11^2}*3^2*2 [/tex][tex]=2^5*3^3*11^2*5*3*25*3^2*2=2^5*3^3*121*5*3*25*3^2*2[/tex][tex]=2^5*3 ^{3+2}*15125*3*2^1=2 ^{5+1}*3^5*15125*3=2^6*3^5*15125*3 [/tex][tex]=2^6*3^5*15125*3^1= 2^6*3 ^{5+1} *15125= 2^6*3^6*15125[/tex][tex]=(2*3)^6*15125=6^6*15125=15125*6^6=15125*46656[/tex]=705672000
