 Hello and welcome to the session. In this session we discussed the following question which says, simplify 2 upon 3 whole square whole to the power 3 into 2 upon 3 whole to the power minus 3 into 3 to the power minus 1 into 1 upon 6. Now let's see the key idea to be used for this question. We take let a upon b be any rational number mn be any integers then we have a upon b whole to the power m into a upon b whole to the power n is equal to a upon b whole to the power m plus n. Then a upon b whole to the power m and this whole to the power n is equal to a upon b whole to the power mn. then a upon b whole to the power minus n is equal to b upon a whole to the power n. This is the key idea to be used for this question. Now let's move on to the solution. The given expression is 2 upon 3 whole square whole to the power 3 into 2 upon 3 whole to the power minus 3 into 3 to the power minus 1 into 1 upon 6. Now consider this term 2 upon 3 whole square whole to the power 3. For this we will use the second law which is a upon b whole to the power m. This whole to the power m is equal to a upon b whole to the power mn. So this would give us 2 upon 3 whole to the power 2 into 3 6. Now we write this term as it is that is into 2 upon 3 whole to the power minus 3 into Now for this term 3 to the power minus 1 we will use this third law that is a upon b whole to the power minus n is equal to b upon a whole to the power n. So this would give us 1 upon 3 whole to the power 1 into 1 upon 6. Now for these two terms 2 upon 3 whole to the power 6 into 2 upon 3 whole to the power minus 3 we will use this first law that is a upon b whole to the power m into a upon b whole to the power n is equal to a upon b whole to the power m plus n. So this is further equal to 2 upon 3 whole to the power 6 minus 3 into 1 upon 3 into 1 upon 6. This gives us 2 upon 3 whole to the power 3 into 1 upon 3 into 1 upon 6. So this is equal to 2 into 2 into 2 upon 3 into 3 into 3 into 3 into 6. Now 2 3 times is 6 so this is further equal to 4 upon 243. So this is a final answer that is 4 upon 243. So this completes the session. Hope you have understood the solution for this question.