Given the figure above, determine

Step-by-step explanation:

A^ = 40° ( given)

considering ABD triangle

B^ = D ^ = (180 - 40)÷ 2 (angles in a triangle, AB = AD)

considering BDC triangle

D^ = C^ = x ( BD = DC)

then m2^ = 180- 2x

x = 110° ( on straight line )

m2^ = 180 - 220°

= - 40°

it can't be negative .. there's some issue with the given figure .

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:

35 is an outlier

step-by-step explanation: