Answer:
The answer to your question is [tex]\frac{3b}{a}[/tex] , check your options, maybe you forgot one.
Step-by-step explanation:
Original operation
[tex]\frac{6a^{2}}{5b^{2}} \frac{45b^{3}}{18a^{3}}[/tex]
Process
1.- Simplify 6 and 18 and 45 and 5
[tex]\frac{6}{18} = \frac{3}{9} = \frac{1}{3}[/tex]
[tex]\frac{45}{5} = \frac{9}{1} = 9[/tex]
Result
[tex]\frac{9}{3} = \frac{3}{1} = 3[/tex]
2.- Simplify a² and a³
[tex]\frac{a^{2}}{a^{3}} = \frac{1}{a}[/tex]
3.- Simplify b³ and b²
[tex]\frac{b^{3}}{b^{2}} = b[/tex]
4.- Join the results [tex]\frac{3b}{a}[/tex]
