Question

03. Reduza a uma única potência:

${a} \: \: {3}^{2} \times {3}^{8} =$
${b} \: \: {2}^{20} \div \: {2}^{10} =$
${c} \: ( {3}^{2} )^{3} =$

${d} \: \: {3}^{x} \times {3}^{2} =$
${e} \: \: \frac{ {2}^{x} }{ {3}^{2} } =$
${f} \: \: ( {3}^{x})^{3} =$

​

Answer 1

${a} ) {3}^{2} \times {3}^{8} = \: {3}^{2 + 8} = {3}^{10}$

${b} \: \: {2}^{20} \div \: {2}^{10} = {20}^{20 - 10} = {20}^{10}$

${c} \: ( {3}^{2} )^{3} = {3}^{2 \times 3} = {3}^{6}$

${d} \: \: {3}^{x} \times {3}^{2} = \\ {3}^{x} = {3}^{2} \\ x = 2$

${e}) \: \: \frac{ {2}^{x} }{ {3}^{2} } = \\ {2}^{x} = {3}^{2} \\ {2}^{x} = 9$

${f} \: \: ( {3}^{x})^{3} = \\ {3}^{x \times 3} = \\ {3}^{3x}$

espero que isso ajude vc