how to solve indices in maths using laws of indices.

Welcome to my channel. We are asked to do what to simplify this. This is what indices are, and whenever you see any question about indices The first thing that will come to your mind is whether you can put all of them in the same base. Okay Now, looking at this, I can put everything here in base two. To be on base two now, I can rewrite this four raised to the power of minus half as what two raised to the power of two. What is minus half of two raised to the power of two equal to four? 16 sentinels times 2 raised to the power of 4 into what three over four All over this is two raised to the power of two into half. Okay. Now Once you have something like this, what do you do? You multiply the powers, according to the law of indices. So if I multiply these two, I divide each by itself, and I'm going to have one. So for this, you are left with two raised to the power of two raised to the power of minus one, okay. Times two raised to the power of four, we cancel four, we are left with what three all over Please cancel this; you are left with two raised to the power of one if you have watched this far. It means you're truly enjoying what I'm doing for you, so you want even more of this. Okay, you need to subscribe to this channel and then click on the notification bell. So that you'll be notified anytime I upload a new video. All right, let's go ahead and solve this. there is this law of indices that says that When two numbers are in the same base and they are multiplying each other All you need to do is to perform the operation of adding the indices or the powers. What does that mean? It means that this Specific numbers now, they are on the same base two. Two, I'm going to take one two. Okay, and I'm going to add the index that is minus one plus what three Okay Now, if the particular numbers they are in the same base, but they are divided just like you have two You have two, you have two, they are dividing each other. What you need to do is subtract, so I'm going to subtract this one. Because it is dividing and they are to the same base Now what am I going to have two raised to the power of minus one minus one? We give you what minus two. So you have minus two plus what three? Okay, minus two plus three. So this is the same thing as so this is what you have two raised to the power of minus two Plus three, which can be written as two raised to the power of three minus two, right? that is Two raised to the power of one, which is two, and that is your final answer. Have a lovely day. Bye