Ping's ice cream palace offers a special sundae that contains over 222 kilograms of ice cream plus any number of toppings. write an inequality that describes sss, the weight of the special sundae in kilograms.

Let us assume number of toppings = n

Total weight of sundae = s

Quantity of Ice cream = 222 kilograms.

We need to discribe the total weight of the special sundae in kilograms by an inequality.

The sundae contains ice cream and number of toppings. So the total weight of the sundae will be greater than the total weight of ice cream and number of toppings, because there would be some weight of the packing.

Therefore,

The total weight of the sundae > total weight of ice cream + weight of toppings.

s > 222 + n.

Where, s is the total weight of the sundae and n is the weight of toppings.

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: