Răspuns:
[tex]a) \: {13}^{5} \times {13}^{6} \times 13 = {13}^{5 + 6 + 1} = {13}^{12} ca \: este acel \: 1 \: de \: la \: 13 \\ b) \: {2011}^{9} \div {2011}^{3} \div {1011}^{0} = {2011}^{9 - 3 - 0} = {2011}^{6} \\ [/tex]
[tex]c) \: \: \: \: ( {7}^{5} ) ^{12} = {7}^{5 \times 12} = {7}^{60} \\ d) {5}^{2} \times {5}^{7} \div {5}^{1} = {5}^{2 + 7 - 1} = {5}^{8} \\ e) \: \: \: {41}^{51} \div {41}^{21} \times 1681 = {41}^{51 - 21} \times 1681 = {41}^{30} \times 1681[/tex]
[tex]f) \: \: \: ( {3}^{3} )^{10} \div {3}^{29} \times ({3}^{2} )^{3} = {3}^{(3 \times 10) - 29 + (2 \times 3)} = {3}^{7} [/tex]
[tex]g) \: \: \: \: ( {11}^{2} )^{10} \times ( {11}^{3} )^{4} \div ( {11}^{2} )^{11} \times {11}^{3} = {11}^{(2 \times 10) + (3 \times4 ) - (2 \times 11) + 3} = {11}^{59} [/tex]
[tex]h) \: \: \: ( {2}^{11} )^{5} \div ( {2}^{2} )^{11} \div 4 = ({2}^{11} ) ^{5} \div ({2}^{2} )^{11} \div {2}^{2} = {2}^{(11 \times 5) - (2 \times 11) - 2} = {2}^{75} [/tex]
[tex]i) \: \: \: ( {5}^{8} \times {7}^{7}) \div ( {5}^{5} \times {7}^{4}) = {5}^{8 - 5} \times {7}^{7 - 4} = {5}^{3} \times {7}^{3} [/tex]
