Could anyone please help explain how to prove these statements are true?

1) <GKI and <HKJ are verticle <s, which means that they are equal

  The triangles are congruent by the rule AAS (Angel, Angel, Side).

2) Triangle ABE and triangel ACE are right triangles.

   The triangles are congruent by the rule LL (Leg, Leg).

    We can use the rule CPCTC (Corresponding Parts of Congruent Triangles are Congruent) to prove that BA is congruent to CA.

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:

-2 is the right