1)
[tex] \sqrt[4]{ {2}^{5} } \div \sqrt{ {2}^{3} } = {2}^{ \frac{5}{4} } \div {2}^{ \frac{3}{2} } = {2}^{( \frac{5}{4} - \frac{3}{2}) } = {2}^{ - \frac{1}{4} } = \frac{1}{ \sqrt[4]{2} } = \frac{ \sqrt[4]{8} }{2} [/tex]
2)
[tex] \sqrt[5]{ {3}^{6} } \div \sqrt[15]{ {3}^{2} } = {3}^{ \frac{6}{5} } \div {3}^{ \frac{2}{15} } = {3}^{( \frac{6}{5} - \frac{2}{15} )} = {3}^{ \frac{16}{15} } = \sqrt[15]{ {3}^{16} } [/tex]
y así la 3,4 y 5
6)
[tex] \sqrt[3]{7} \div \sqrt[6]{ {7}^{23} } \div \sqrt[12]{ {7}^{5} } = {7}^{ \frac{2}{3} } \div {7}^{ \frac{23}{6} } \div {7}^{ \frac{12}{5} } = {7}^{( \frac{2}{3} - \frac{23}{6} - \frac{5}{12} } = {7}^{ - \frac{43}{12} } = \frac{1}{ \sqrt[12]{ {7}^{43} } } = \frac{1}{7 \sqrt[12]{ {7}^{7} } } = \frac{ \sqrt[12]{ {7}^{5} } }{49} [/tex]
7)
[tex] \sqrt[8]{ {2}^{7} } \div \sqrt[24]{ {2}^{5} } \div \sqrt[6]{ {2}^{5} } = {2}^{ \frac{7}{8} } \div {2}^{ \frac{5}{24} } \div {2}^{ \frac{5}{6} } = {2}^{( \frac{7}{8} - \frac{5}{24} - \frac{5}{6} )} = {2}^{ - \frac{4}{24} } = {2}^{ - \frac{1}{4} } = \frac{1}{ \sqrt[4]{2} } = \frac{ \sqrt[4]{ {2}^{3} } }{2} [/tex]
y así las demás , suerte es muy largo dx
