Which of the folowing is the ascending order of `2^(1152), 3^(768), and 5^(384)`A. `5^(384), 3^(768), and 2^(1152)`B. `5^(384), 2^(1152), and 3^(768)`C. `5^(389), 5^(314), and 2^(1152)`D. `2^(1152), 3^(768), and 5^(384)`

Which of the folowing is the ascending order of `2^(1152), 3^(768), an

1.	Which of the folowing is the ascending order of `2^(1152), 3^(768), and 5^(384)`A. `5^(384), 3^(768), and 2^(1152)`B. `5^(384), 2^(1152), and 3^(768)`C. `5^(389), 5^(314), and 2^(1152)`D. `2^(1152), 3^(768), and 5^(384)`
Answer» Correct Answer - B Let us take GCD of `1152,768` , and 384 , which is 384. `therefore 2^1152=(2^3)^384=8^384` `3^768=(3^2)^384=9^(384)` `5^384=(5)^384` `therefore` The asceding order is as follows : `5^384, 8^384, 9^384` i.e., `5^384, 2^1152, and 3^768` Hence, the correct option is (b).