Rectangular prism a has a length of 5 in and a width of 2 in. rectangular prism b has a width of 3 in and a height of 5 in. the surface areas of the two rectangular prisms are equal. find the height of rectangular prism a and the length of rectangular prism b.

a)height=10 inches, length=5 inches
b)height=7 inches, length=6 inches
c)height=3 inches, length=2 inches
d)height=10 inches, length=15 inches

these are the optional answers n its not d height=10inches i took the test once and got this wrong

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:

b

step-by-step explanation: