2. Raj buys a terrarium that is in the shape of a triangular prism. The dimensions of the terrarium are shown below.
o(6)(-)+3 (6.10) - 192
5 in
5 in
4 in
o 2 ((O)(w)) + 3 (5.10) – 174
10 in
6 in
(6)(0)+(5. 10)+2 (610) 122
Raj knows that every triangular prism is made up of two triangular sides and three
rectangular sides, which equation represents the total surface area, in square inches,
of the terrarium?
(6 + 5 + 5)(10) + 2 (3 (91(a))

Step-by-step explanation:

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:

a 360 degree rotation

step-by-step explanation: