an algebraic expression involving rational exponents is shown below. (64a^3 b^4 c^5)(32a^4 b^3 c^5)/ (256a^5 b^4 c^-5)​

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3

you have to find the same variables -3n - 5n so this would be -3n +(-5n) which equals -9n

answer is  

minor arc – sw

major arc – stu

semicircle – wst

i got it down chief.