The cruz family shares a family cell phone plan. the plan is for 3,200 cell phone minutes each month. the father had used 1,200 minutes. the mother has used at least 600 minutes. the two chirldren have used 675 minutes each. write an inequality that shows the number of minutes the cruz family has used. explain your reasoning

father used 1200

 each child used 675 ( 675 *2)= 1350 min total

 mother used >=600

1200 +1350 = 2550

2550 +600 = 3150

so minutes used is greater than or equal to 3150 minutes

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: