 Hello and welcome to the session. In this session we discuss the following question which says, find the product minus 2 upon 7 x square y multiplied by minus 3 upon 5 y square z multiplied by minus 7 upon 6 z square x. And verify the result for x equal to 1, y equal to 2 and z equal to 3. Let's move on to the solution now. We need to find the product of minus 2 upon 7 x square y multiplied by minus 3 upon 5 y square z multiplied by minus 7 upon 6 z square x. So this is equal to minus 2 upon 7 multiplied by minus 3 upon 5 multiplied by minus 7 upon 6. And this whole is multiplied by x square y multiplied by y square z multiplied by z square x. Now 7 cancels with the 7, then 2, 3 times the 6, 3 cancels with the 3. So we are left with minus 1 upon 5 multiplied by x to the power. Now we will add the powers of x that is 2 and 1 multiplied by y. We will add the powers of y that is 1 and 2 multiplied by z. We will add the powers of z that is 1 and 2. So this is further equal to minus 1 upon 5 multiplied by x cube, y cube, z cube. So we get this is equal to minus x cube, y cube, z cube upon 5. This is the product as we have minus 2 upon 7 x square y multiplied by minus 3 upon 5 y square z multiplied by minus 7 upon 6 z square x. Is equal to minus x cube, y cube, z cube upon 5. Now we will do the verification. So when we have x equal to 1, y equal to 2 and z equal to 3 then consider the LHS. We substitute the values for x, y and z as 1, 2 and 3 respectively in the LHS. That is this expression. So this would be equal to minus 2 upon 7 into 1 square into 2 into minus 3 upon 5 into 2 square into 3 into minus 7 upon 6 into 3 square into 1. This is further equal to minus 4 upon 7 into minus 36 upon 5 into minus 21 upon 2. Now 7, 3 times is 21, 2, 2 times is 4. So this is equal to minus 216 upon 5. That is we have LHS is equal to minus 216 upon 5. Now let's consider the LHS and we put x equal to 1, y equal to 2 and z equal to 3 in this LHS. So we get this would be equal to minus 1 cube, 2 cube, 3 cube upon 5. This is equal to minus 1 into 8 into 27 upon 5. So this is further equal to minus 216 upon 5. This is the LHS. So as you can see that LHS and RHS are equal. So hence verified this complete C session. Hope you have understood the solution for this question.