[tex] \dfrac{2 \times 3 \times 7}{3 \times 49} ^{ \div 3 \times 7} = \dfrac{2\times 1 \times 1}{1 \times 7} = \dfrac{2}{7} [/tex]
[tex] \dfrac{ {2}^{3} \times {3}^{2} }{ {2}^{4} \times 3} ^{ \div {2}^{3} \times 3} = \dfrac{ 1 \times 3 }{2 \times 1} = \dfrac{3}{2} [/tex]
[tex] \dfrac{3 + 4}{14} = \dfrac{7}{14} ^{ \div 7} = \dfrac{1}{2} [/tex]
[tex] \dfrac{32 - 12}{10}^{ \div 2} = \dfrac{16 - 6}{5} = \dfrac{10}{5} ^{ \div 5} = \dfrac{2}{1} = 2[/tex]
[tex] \dfrac{ {3}^{12} \times {2}^{15} }{ {3}^{12} \times {2}^{13} } ^{ \div {3}^{12} \times {2}^{13} } = \dfrac{1 \times {2}^{2} }{1 \times 1} = \dfrac{4}{1} = 4[/tex]
[tex] \dfrac{ {49}^{25} }{( {7}^{4}) ^{13} } = \dfrac{ ({ {7}^{2} )}^{25} }{ {7}^{52} } ^{ \div {7}^{49} } = \dfrac{7}{ {7}^{3} } ^{ \div 7} = \dfrac{1}{ {7}^{2} } = \dfrac{1}{49} [/tex]
[tex] \dfrac{ {81}^{10} }{ {27}^{12} } = \dfrac{( {3}^{4})^{10} }{( {3}^{3}) ^{12} } = \dfrac{ {3}^{40} }{ {3}^{36} } ^{ \div {3}^{36} } = \dfrac{ {3}^{4} }{1} = \dfrac{81}{1} = 81[/tex]
[tex] \dfrac{48 - 18}{18} ^{ \div 6} = \dfrac{8 - 3}{3} = \dfrac{5}{3} [/tex]
[tex] \dfrac{48 + 8}{8} ^{ \div 8} = \dfrac{6 + 1}{1} = \dfrac{7}{1} = 7[/tex]
