You can but 5 cans of peas at the town market for $3.90. you can buy 10 of the same cans of peas at sam’s club for $7.70. which place is the better buy

Okay, so the easiest way to do this problem is to compare them by bringing the amount of cans to the same number. We will do this by multiplying both the town market's amount of cans and the town market's price.

Town Market=10c for $7.80

Sam's Club=10c for $7.70

Now we can easily compare the prices and we can see that Sam's Club is the better buy.

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: