Answer:
The answer to your question is: [tex]\frac{a^{2} }{3}[/tex]
Step-by-step explanation:
[tex](\frac{3a}{a^{2} } )^{-2}[/tex]
1.- Use rules of exponents
[tex]\frac{(3a)^{-2} }{(a^{-2})^{-2}}[/tex]
2.- Simplify
[tex]\frac{(3a)^{-2} }{a^{-4} }[/tex]
3.- Use rule of sign of exponents
[tex](\frac{a^{4} }{3a^{2} } )[/tex]
4.- Simplify "a"
[tex]\frac{a^{2}}{3}[/tex]
