Gina bought the small plastic boxes below. A rectangular prism with a length of 5 centimeters, width of 4 centimeters, and height of 7 centimeters. A rectangular prism with a length of 4 centimeters, width of 3 centimeters, and height of 10 centimeters. Which container requires more plastic to make, and how much more plastic is needed? The container on the right is made of 2 centimeters squared more plastic. The container on the left is made of 2 centimeters squared more plastic. The container on the right is made of 20 centimeters squared more plastic. The container on the left is made of 20 centimeters squared more plastic.

answer: 1) twenty-seven times y

              2) twenty-seven multiplied by y

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:

answer: b.36 feet

step-by-step explanation:

step-by-step explanation: