Respuesta:
[tex] \frac{ {5}^{3} }{ {5}^{2} } = {5}^{3 - 2} = 5 [/tex]
[tex] \frac{ {9}^{12} }{ {9}^{4} } = {9}^{12 - 4} = {9}^{8} [/tex]
[tex] \frac{ {12}^{9} }{ {12}^{ - 2} } = {12}^{9 - ( - 2)} = {12}^{9 + 2} = {12}^{11} [/tex]
[tex]( \frac{2y}{5x} )^{2} = \frac{4y ^{2} }{25x^{2} } [/tex]
[tex]( \frac{8x}{6x} )^{8} = \frac{64x ^{8} }{48 {x}^{8} } = \frac{64}{48} =\frac{64 \div 16}{48 \div 16} = \frac{4}{3} [/tex]
[tex]( \frac{4m}{2n} )^{3} = \frac{64m ^{3} }{ {8n}^{3} } =\frac{64 \div 8m ^{3} }{ {8 \div 8n}^{3} } \frac{8 m ^{3} }{ {n}^{3} }[/tex]
[tex]( {5y})^{4} = {625y}^{4} [/tex]
[tex](7b) ^{a} = {7b}^{a} [/tex]
[tex](xy)^{9} = {xy}^{9} [/tex]
[tex](12a) ^{6} = 2,985,984 {a}^{6} [/tex]
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Respuesta:
[tex] \frac{ {5}^{3} }{ {5}^{2} } = {5}^{3 - 2} = 5 [/tex]
[tex] \frac{ {9}^{12} }{ {9}^{4} } = {9}^{12 - 4} = {9}^{8} [/tex]
[tex] \frac{ {12}^{9} }{ {12}^{ - 2} } = {12}^{9 - ( - 2)} = {12}^{9 + 2} = {12}^{11} [/tex]
[tex]( \frac{2y}{5x} )^{2} = \frac{4y ^{2} }{25x^{2} } [/tex]
[tex]( \frac{8x}{6x} )^{8} = \frac{64x ^{8} }{48 {x}^{8} } = \frac{64}{48} =\frac{64 \div 16}{48 \div 16} = \frac{4}{3} [/tex]
[tex]( \frac{4m}{2n} )^{3} = \frac{64m ^{3} }{ {8n}^{3} } =\frac{64 \div 8m ^{3} }{ {8 \div 8n}^{3} } \frac{8 m ^{3} }{ {n}^{3} }[/tex]
[tex]( {5y})^{4} = {625y}^{4} [/tex]
[tex](7b) ^{a} = {7b}^{a} [/tex]
[tex](xy)^{9} = {xy}^{9} [/tex]
[tex](12a) ^{6} = 2,985,984 {a}^{6} [/tex]