When lines intersect in one place, what are they called?
a. consistent
b. independent
c. dependent
d. inconsistent?

option a is correct

Step-by-step explanation:

When lines intersect exactly at one place, they have exactly one solution. and one solution is means that  the system of equation is consistent. To find whether a system of equations is consistent, independent or inconsistent we need draw graph of these equation and check if they intersecting at one point or more or they are parallel. Hence from the given options, option a is correct

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:

not sure but it may be b, as i said i'm not sure.