0 votes 0 votes Let R be a relation. Why $R^2 oR^2 !=R^4$ while $R^3 oR =R^4$? Please explain. Set Theory & Algebra relations + – Yamini_learner asked Sep 26, 2022 • retagged Sep 26, 2022 by makhdoom ghaya Yamini_learner 318 views answer comment Share Follow See all 4 Comments See all 4 4 Comments reply ankitgupta.1729 commented Sep 26, 2022 reply Follow Share Can you give an example where $R^2 \circ R^2 \neq R^4 \ ?$ 0 votes 0 votes Yamini_learner commented Sep 28, 2022 reply Follow Share I am trying to find that out only. But I don’t know I got know in a video I am referring through the course. 0 votes 0 votes ankitgupta.1729 commented Sep 28, 2022 reply Follow Share Composition of relations is associative. You can check here It means, $R \circ (S \circ T) = (R \circ S) \circ T$ So, here, $R^4 = R^3 \circ R = (R^2 \circ R) \circ R = R^2 \circ (R \circ R) = R^2 \circ R^2$ 1 votes 1 votes Yamini_learner commented Sep 28, 2022 reply Follow Share Thank you 1 votes 1 votes Please log in or register to add a comment.