please help me I'm begging you please

Answer:
[tex]1 .\: {a}^{3} \: \: multiplication \: rule[/tex]
[tex]2. \: {x}^{9} {y}^{6} \: \: power \: of \: a \: power \: rule[/tex]
[tex]3. \: \frac{ {c}^{9} }{ {d}^{12} } \: \: power \: of \: a \: fraction \: rule [/tex]
[tex]125 {a}^{12} \: \: power \: of \: product \: rule \: [/tex]
[tex] {x}^{20} \: \: division \: rule[/tex]