How can I do this? I am not asking for answers, but for the way to do it. I’m struggling, and It would mean so much! Thanks!

10:8 and 15:12

Step-by-step explanation:

you could think of a ratio as a multiple, where the other ratios will alway be able to go to the other ones. Like 10:8 is a ratio of 5:4 because 10:8 can be both divided by 2 to get 5:4

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

ratio is 2 : 9

the answer is three

13.5 : 3