[tex]( {2}^{30} \times {3}^{15} ) \div ( {2}^{29} \times {3}^{15} )[/tex]
[tex] = ( {2}^{30} \div {2}^{29} ) \times ( {3}^{15} \div {3}^{15} )[/tex]
[tex] = {2}^{30 - 29} \times {3}^{15 - 15} [/tex]
[tex] = {2}^{1} \times {3}^{0} [/tex]
[tex] = 2 - 1[/tex]
[tex] = 1[/tex]