Ten members of the academic team went to a local restaurant after their contest. Each meal combo that came with soda cost $6.75, and each meal combo that came with water cost $5.00. The total bill for the meal combos before tax was $62.25. This indicates that Choose... members ordered water with their m

7 ordered with Soda;

3 ordered with water

Step-by-step explanation:

Given

With water

With Soda

So:

--- total

-- cost

Required

Find m and n

Make m the subject

Substitute in

Collect like terms

Solve for n

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: