What inscribed polygon is being constructed? explain how you know.

  square, octagon, or some other polygon with a multiple of 4 sides

  (also a pentagon or decagon)

step-by-step explanation:

the circle has been divided into quarters, so we might assume the inscribed polygon will have rotational symmetry of order 4 (at least). the polygon with the least number of sides having that symmetry is a square.

the steps shown would also be first steps for constructing an octagon, or a 16-gon, or any other polygon with a number of sides that is a power of 2.

the steps shown are also first steps for constructing a pentagon or decagon. the finishing steps are somewhat more complicated, but these are the first steps.

__

we actually don't know the intention of the construction.

x+y=90

x=30-y=x

step-by-step explanation:

if you understand you will get the answer

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: