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y = 36.

Step-by-step explanation:

If you think about it, the three angles in the triangle add up to be 180. The missing angle just so happens to be part of a supplementary angle, that adds to be 180. If the unlabeled angle were denoted as x, we could have...

(y + 5) + y + x = 180

y + 41 + x = 180

(y + 5) + y + x = y + 41 + x

(y + 5) + y = y + 41

2y + 5 = y + 41

y = 36

Hope this helps!

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: