 Hello and welcome to the session. In this session we discussed the following question which says by what number should minus 3 to the power minus 1 be multiplied so that the product is 5 to the power minus 1? Before we move on to the solution, let's recall a fact which says that if A upon B is any rational number then A upon B to the power minus 1 is equal to B upon A. This is the key idea to be used in this question. Let's move on to the solution now. We need to find the number which when multiplied by minus 3 to the power minus 1 gives the product as 5 to the power minus 1. So to start with let us suppose that the required number be equal to x. So when we multiply x with minus 3 to the power minus 1 the product would be equal to 5 to the power minus 1. So this gives us x is equal to 5 to the power minus 1 upon minus 3 to the power minus 1 or you can say this means that x is equal to 5 upon minus 3 to the power minus 1 or we have x is equal to minus 5 upon 3 to the power minus 1. Now using the key idea which says that for any rational number A upon B, A upon B to the power minus 1 is equal to B upon A. So here the rational number is minus 5 upon 3 and now minus 5 upon 3 to the power minus 1 would be equal to 3 upon minus 5 or x is equal to minus 3 upon 5. So hence we can say that minus 3 to the power minus 1 should be multiplied by minus 3 upon 5 to get the product as 5 to the power minus 1. So final answer is minus 3 upon 5. This completes the session. Hope you have understood the solution for this question.