a)
[tex] { ({( - 3)}^{7}) }^{2} \div {( - 3)}^{11} + ( - 2) \times {( - 2)}^{2} \times { (- 2)}^{3} \div { ( - 2)}^{4} = [/tex]
[tex] = {( - 3)}^{7 \times 2} \div {( - 3)}^{11} + {( - 2)}^{1 + 2 + 3 - 4} = [/tex]
[tex]= {( - 3)}^{14} \div {( - 3)}^{11} + {( - 2)}^{2 } ={( - 3)}^{14 - 11} + 4 = {( - 3)}^{3} + 4 = - 27 + 4 = - 23[/tex]
b)
[tex]100 \div ( - 10) \div ( - 5) + 4 \times ( - 4) + {( - 5)}^{4} = [/tex]
[tex] = ( - 10) \div ( - 5) + ( - 16) + {( - 5)}^{4} = 2 - 16 + 625 = 611[/tex]
