There are 5 post supporting the guard rail for the steps to your

Question

home. The tallest post is3 feet tall. The height of each of the other post is5/6 the height of the next larger post. Write an expression for the height of the shortest post.

Answer 1

3 ft, the first pole

(5/6)3 ft, the second pole

(5/6)(5/6)3 ft, the third pole

(5/6)(5/6)(5/6)3, the fourth pole

(5/6)(5/6)(5/6)(5/6)3, the fifth pole

 

or 

 

(635/1296)3 ft.