Rajya Sabha has equal power with Lok Sabha under article 368 of the Constitution providing for Power of Parliament to amend the Constitution.
An amendment to the Constitution can be initiated only by the introduction of a Bill for the purpose in either House of Parliament, and when the Bill is passed in each House by a majority of the total membership of that House and by a majority of not less than two-thirds of the members of that House present and voting, it is to be presented to the President who shall give his assent to the Bill and thereupon the Constitution shall stand amended.
Rajya Sabha cannot remove the government through motions as the Council of Ministers is collectively responsible to the House of the People and not to Rajya Sabha.
Under Article 312 of the Constitution, Rajya Sabha can authorize the parliament to create a new All India Service by resolution supported by not less than two-thirds of the members present and voting.
A cut motion is a special power of the Lok Sabha members to oppose a demand being discussed for allocation by the government in the Finance Bill as part of the Demand for Grants.