 Hello friends, welcome to the session. I am Alka and we are going to discuss without actually performing the long division state whether the following rational numbers will have a terminating division decimal expansion or a non terminating repeating decimal expansion a Problem is 129 upon 2 to the power 2 5 to the power 7 and 7 to the power 5 Let's start to the solution we see that Q equal to 2 to the power 2 5 to the power 7 7 to the power 5 is not in the form of 2 to the power n and 5 to the power m this implies that The rational number is a non repeat non terminating repeating decimal expansion Hope you understood the solution and enjoyed the session. Bye. Bye and take care