zad. 6
[tex]a) \frac{( {3}^{5} {)}^{3} \times {3}^{2} }{ {3}^{8} \times {3}^{6} } = \frac{ {3}^{15} \times {3}^{2} }{ {3}^{14} } = \frac{ {3}^{17} }{ {3}^{14} } = {3}^{3} = 27[/tex]
[tex]b)( {10}^{7} \div 10 {)}^{2} \div {10}^{11} = {(10 {}^{6} )}^{2} \div {10}^{11} = {10}^{12} \div {10}^{11} = 10[/tex]
[tex]c)(( {3}^{7} \times {3}^{2} {)}^{2} \div {3}^{17} {)}^{3} = (( {3}^{9} {)}^{2} \div {3}^{17} {)}^{3} = ( {3}^{18} \div {3}^{17} {)}^{3} = {3}^{3} = 27[/tex]
[tex]d) \frac{ {10}^{5} \times {10}^{3} \times ( {10}^{2} {)}^{7} }{ {10}^{20} } = \frac{ {10}^{8} \times {10}^{14} }{ {10}^{20} } = \frac{ {10}^{22} }{ {10}^{20} } = {10}^{2} = 100[/tex]
[tex]e) \frac{ ({7}^{6} \times {7}^{4} {)}^{3} }{( {7}^{12} \div {7}^{8} {)}^{7} } = \frac{( {7}^{10} {)}^{3} }{( {7}^{4} {)}^{7} } = \frac{ {7}^{30} }{ {7}^{28} } = {7}^{2} = 49[/tex]
[tex]f) {7}^{5} \times ( {7}^{9} \div {7}^{6} {)}^{2} \div ( {7}^{2} {)}^{5} = {7}^{5} \times ( {7}^{3} {)}^{2} \div {7}^{10} = {7}^{5} \times {7}^{6} \div {7}^{10} = {7}^{11} \div {7}^{10} = 7[/tex]
