1.2.6) Ans;
[tex] \frac{1}{( {x}^{2})( {x}^{ - 2}) } = \frac{1}{({x}^{2})(\frac{1}{{x}^{2}})} = \frac{1}{ \frac{ {x}^{2} }{ {x}^{2} } } = \frac{1}{1} = 1[/tex]
1.2.7) Ans;
[tex]( - 3740 {d}^{ - 8} {e}^{14} {f}^{ - 11} ) ^{0} = 1[/tex]
[tex] {x}^{0} = 1[/tex]
[tex]( - 3740 {d}^{ - 8} {e}^{14} {f}^{ - 11}) ^{0} = ( - 3740 \frac{1}{ {d}^{8} } {e}^{14} \frac{1}{ {f}^{11} } )^{0} = 1[/tex]
1.2.8) Ans;
[tex] \frac{( {w}^{5})^{ - 6} }{( {z}^{ - 7})^{8}} = \frac{ {w}^{5 \times - 6} }{ {z}^{ - 7 \times 8} } = \frac{ {w}^{ - 30} }{ {z}^{ - 56} } = \\ \\ \frac{1}{ {w}^{30}( \frac{1}{ {z}^{56} } ) } = \frac{1}{ \frac{ {w}^{30} }{ {z}^{56} } } = 1 \div \frac{ {w}^{30} }{ {z}^{56} } \\ \\ = 1 \times \frac{ {z}^{56} }{ {w}^{30} } = \frac{ {z}^{56} }{ {w}^{30} }[/tex]
I hope I helped you^_^
