[tex]a = {( {16}^{10}) }^{100} \div {( {4}^{20} )}^{50} \times 2 = \\ = {16}^{10 \times 100} \div {4}^{20 \times 50} \times 2 \\ = {16}^{1000} \div {4}^{1000} \times 2 \\ = {( {4}^{2} )}^{1000} \div {4}^{1000} \times 2 \\ = {4}^{2000} \div {4}^{1000} \times 2 \\ = {4}^{2000 - 1000} \times 2 = \\ = {4}^{1000} \times 2 \\ = {( {2}^{2}) }^{1000} \times 2 \\ = {2}^{2000} \times 2 \\ = {2}^{2000 + 1} \\ = {2}^{2001} \\ = {( {2}^{667} )}^{3} [/tex]
a este cub perfect
