Question

Perform the indicated operation and simplify the result. 6a2/5b2 * 45b3/18a3 = ? answers:a)3ab b)(3b)/a c)3

Answer 1

The answer to your question is
`(3b)/(a)` , check your options, maybe you forgot one.

Explanation:

Original operation

`(6a^(2))/(5b^(2)) (45b^(3))/(18a^(3))`

Process

1.- Simplify 6 and 18 and 45 and 5

`(6)/(18) = (3)/(9) = (1)/(3)`

`(45)/(5) = (9)/(1) = 9`

Result

`(9)/(3) = (3)/(1) = 3`

2.- Simplify a² and a³

`(a^(2))/(a^(3)) = (1)/(a)`

3.- Simplify b³ and b²

`(b^(3))/(b^(2)) = b`

4.- Join the results
`(3b)/(a)`