Consolidation: Expressing Answers in Positive Index Notation

Simplify each of the following, giving your answer in positive index notation.

1. \(5{{a}^{4}}\times 3{{a}^{-3}}\div {{a}^{-3}}\)
2. \({{\left( 2b \right)}^{0}}\div \left[ 4{{\left( {{b}^{-2}} \right)}^{2}} \right]\)
3. \({{\left( -3{{c}^{2}}{{d}^{-2}} \right)}^{2}}\times {{\left( -2{{c}^{-1}}d \right)}^{3}}\)
4. \(\frac{e{{f}^{3}}}{4}\div {{\left( \frac{2}{{{e}^{2}}{{f}^{-1}}} \right)}^{-3}}\)
5. \(\frac{{{\left( {{g}^{3}}h \right)}^{2}}\times {{g}^{-3}}h}{{{\left( {{g}^{-1}}h \right)}^{-2}}}\)
6. \(\frac{15{{p}^{2}}{{q}^{-3}}}{{{\left( 3{{p}^{3}} \right)}^{2}}}\div {{\left( {{p}^{2}}q \right)}^{-1}}\)