How to solve indices using laws of indices

x raised to the power of (x plus three) to the power of four over three equals 16. Okay, this is under indices. What do? We do when you look at this particular question now you can analyze it this way, okay, what do we So that this particular question will look less ambiguous, do to have only x plus three here. The only way we are going to do that is if we can multiply this by what if we will multiply this. by three over four, so that's the two we can see; sure, that's only this that will remain, so that's what. I'm going to do it now, so I'm going to write x plus three raised to the power of four over three times three fourths okay is equal to 16 times what three fourths, so whatever I do to this side I Also do it on this side, so notice that three we cancel, three, four we cancel, four, we have nothing. on this one, so you're going to have x plus three raised to the power of one here which is certain as x plus three is equal to what 16 raised to the power of three over four Now this is what the first step is, but there is this law in indices that says, for example, if you have x raised to the power of two over three, which is sent in as this cube root, which is this is going to be here the cube root of this x, okay, everything raised to the power of two So I'm going to relate that to what we have here, to what we have here. So we are going to write that. x plus three is equal to 16 raised to the power of three over four I'm going to write what the fourth root of 16 raised to the power of 3 do you understand Okay, now let's continue. If you've watched this far, it means you're actually enjoying it. what I'm doing, so if you want to see more of my face and more of what I'm doing, then you You need to subscribe to this channel. Okay, then turn on the notification button or notification bell. so that you'll be notified anytime I upload any video, okay? All right, let us continue. This is what We now have that x plus three is equal to the fourth root of 16, which is what we have. Multiply four times to get 16, the answer is two. See it when you say two times two is what four. four times two is eight, eight times two is what, 16, so it means that the fourth root of 16 is what Now x plus three equals two raised to the power of three, which is what two times two times two Okay, so we have x plus three equals two times two, which is four, four times two is eight. So you have eight here, that means our x is what? Eight plus three? We cross this equation. to become minus three eight minus three.reqular so our x is equal to eight minus three is what Equal to five, and that is your final answer. You have a lovely day and bye.