Răspuns:
[tex] \bf {2}^{53} \div {2}^{40} = {2}^{(53 - 40)} = \color{FF0000} \boxed{ \boxed{ {2}^{13} } }[/tex]
[tex] \bf {7}^{11} \div {7}^{1} = {7}^{(11 - 1)} = \color{FF3300} \boxed{ \boxed{ {7}^{10} } }[/tex]
[tex] \bf {9}^{12} \div {9}^{3} = {9}^{(12 - 3)} = \color{9966FF} \boxed{ \boxed{ {9}^{9} } } [/tex]
[tex] \bf {2}^{83} \div {2}^{70} = {2}^{(83 - 70)} = \color{00CC00} \boxed{ \boxed{ {2}^{13} } } [/tex]
[tex] \bf {2}^{70} \div {8}^{23} = {2}^{70} \div ( {2}^{3} )^{23} = {2}^{70} \div {2}^{69} = {2}^{(70 - 69)} = \color{009999} \boxed{ \boxed{ {2}^{1} = 2 } } [/tex]
[tex] \bf {3}^{60} \div {81}^{15} = {3}^{60} \div ( {3}^{4} )^{15} = {3}^{60} \div {3}^{60} = {3}^{(60 - 60)} = \color{0099FF} \boxed{ \boxed{ {3}^{0} = 1 } } [/tex]
[tex] \bf ({2}^{7} )^{10} = {2}^{(7 \times 10)} = \color{0000FF} \boxed{ \boxed{ {2}^{70} } } [/tex]
[tex] \bf ({5}^{3} )^{4} = {5}^{(3 \times 4)} = \color{9900CC} \boxed{ \boxed{ {5}^{12} } } [/tex]
[tex] \bf {2}^{20} \times {5}^{20} = ({2 \times 5})^{20} = \color{FF0099} \boxed{ \boxed{ {10}^{20} } } [/tex]
[tex] \bf {12}^{30} \div {6}^{30} = {(12 \div 6)}^{30} = \color{FF0000} \boxed{ \boxed{ {2}^{30} } } [/tex]
