Find the area of the parallelogram.

  264 ft²

Step-by-step explanation:

The right triangle shown at the right end of the figure has a missing leg that can be found using the Pythagorean theorem. (If you recognize the triangle as a 5-12-13 triangle, you already know its length is 12 ft.)

  a² +b² = c²

  5² + b² = 13²

  b² = 169 -25 = 144

  b = √144 = 12

So, the height of the parallelogram is 12 ft, and its base length is 22 ft. The area is the product of these ...

  A = bh = (22 ft)(12 ft) = 264 ft²

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:

m=-16

step-by-step explanation: