 Hi and welcome to the session. Let us discuss the following question. The question says simply 525 into t to the power minus 4 upon 5 to the power minus 3 into 10 into t to the power minus 8 where t is not equal to 0. Let's see its solution. We need to solve this given expression and this will be equal to 25 can be written as 5 square that is 5 to the power 2 into t to the power minus 4 upon 5 to the power minus 3 into now 10 can be written as 5 into 2 into t to the power minus 8. We know that a to the power m into a to the power n is equal to a to the power m plus n. So this is equal to 5 to the power 2 into t to the power minus 4 upon now here we have 5 to the power minus 3 into 5 to the power 1. So using this result this will become 5 to the power minus 3 plus 1 into 2 into t to the power minus 8. So this is equal to 5 to the power 2 into t to the power minus 4 upon 5 to the power minus 2 into 2 into t to the power minus 8 and this can also be written as minus 2 into into t to the power minus 4 upon t to the power minus 8. Now we have one more result that is a to the power m upon a to the power n is equal to a to the power m minus n. So here we have 5 to the power 2 upon 5 to the power minus 2. So this will be equal to 5 to the power 2 minus minus 2 into 1 upon 2 into here again we have t to the power minus 4 upon t to the power minus 8. So using this result this will be t to the power minus 4 minus minus 8 and this is equal to 5 to the power 2 plus 2 into 1 upon 2 into t to the power minus 4 plus 8. That is 5 to the power 4 into 1 upon 2 into t to the power 4. Now 5 to the power 4 is 625 into t to the power 4 upon 2 and thus 625 into t to the power 4 upon 2 is our required answer for this question. So with this we finish this session. Hope you must have understood the question. Goodbye and take care.