 Hello folks, so welcome to this problem-solving session. So only learning theory will not help you So you'll have to do a lot of problem-solving to get accustomed to the rules and the laws which we discussed so let us take these four problems after this you can also download the worksheets and Try the problems on your own and if you are finding any difficulty you can always reach out to us So I have taken four Questions or four simple very very simple problems here just to illustrate The the rules and the laws which we just learned in the previous sessions now first one is three to the power three Into three to the power two So first one if you see three to the power three into three to the power two so this This thing the thing which comes to my mind in is nothing but a to the power m Into a to the power n right if you see the bases are same the powers are different Right, so bases are same powers are different this first rule should come to your mind So a to the power m into a to the power n is equal to a to the power m plus n So it is simply three into Three plus two which is three to the power five Now it is also my duty to highlight few a few ways where you make mistakes So there are cases where if this is given instead of multiplication Plus sign is given and I have seen people adopting this rule and writing this as Which is a mistake. This is not equal to please be very careful whether it is a multiplication sign or It is a plus sign If it is a plus sign, then it is a case of addition and then how to solve this then then you have to take some Common things what what is it? So it is nothing but three into three into three and The other one is three into three, isn't it? So if you see three square is common So it will be three square and what is left within brackets three and then this is plus One isn't it? So if you can see if you open it, you'll get the same thing So hence it is nothing but three square into Four which is different from three to the power five. Can you see that? So please be very very careful. Let us now take question number two question number two is six to the power eight divided by six to the power Three is it it now divided by that means this is nothing but six to the power eight six to the power six to the power eight divided by six to the power three, isn't it which the moment I say this I Can see the base is same and it is a quotient form. So it is six eight to eight minus three By which rule a to the power m by a to the power m is equal to a to the power m minus n Okay, so hence, please be very very careful and hence it is six to the power five simply whatever is the value And third what is the third one? Third one says three to the power three whole to the power two. So three to the power three whole to the power two Which rule will be applicable? Applicable rule will be a to the power n whole to the power n is equal to a to the power m and Right m times n. So hence it is really not it is nothing but three to the power three into two Three to the bar three to the power Three into two which is nothing but three to the power six Okay, and going to the fourth one is four by three to the power minus two so Four by three to the power minus two is nothing but one upon four by three to the power two By which rule a to the power minus one is nothing but one upon a to the power one So hence it is nothing but one upon then four square by three square again by which rule a to the power a sorry a by b to the power m is equal to a to the power m divided by B to the power and B to the power and by this rule. So hence now it is one divided by Four square by three square, which you know by your previous knowledge. It is one Multiplied by three square by four square, which is nine upon 16 This is how you have to solve using sim this was a simple exercise We just use the four rules which we learned to solve these problems in the next session. We'll take up level two problems