[tex] {4}^{23} \times {2}^{10} \div {8}^{2} = {( {2}^{2} )}^{23} \times {2}^{10} \div {( {2}^{3} )}^{2} [/tex]
[tex] = {2}^{2 \times 23} \times {2}^{10} \div {2}^{3 \times 2} [/tex]
[tex] = {2}^{46} \times {2}^{10} \div {2}^{6} [/tex]
[tex] = {2}^{46 + 10 - 6} [/tex]
[tex] = {2}^{50} [/tex]