This Simple Looking Math Question Is Actually HARD! 🤯

Added: 2026-05-26

[00:00:01]Good day, viewers. I'm back here again with another video video. And this video I will quickly solve this problem within some minutes, okay? So, make sure you follow me. Don't forget this is Mathematics Clinic. And don't forget to subscribe to my channel. All right, let's go on. Now, I can apply the some algebra rules to this. You know, this is same thing as x to the power of 5 dot x to the power of n over x to the power of 8, okay? Equals to x to the power of 20. Just make sure if you don't understand anything in this video, let me know in the comment section, so I can make a clarifying video for you guys.

[00:00:38]Well, in this video I will solve it quickly, okay? So, I'm having x to the power of 5 dot. According to the law of indices, I can subtract this the power here because they're having the same base, so I'm having x to the power of n minus 8 equals to x to the power of 20, okay?

[00:00:56]Let's move on. Now, I'm having they're having the same base. According to the law of indices again, I can add them uh power together because they uh the uh what is it called? The operation is multiplication. I'm so sorry for that.

[00:01:10]So, I'm having x to the power of 5 plus n minus 8, okay? Equals to x to the power of 20. All right. Now, we can move on. x to the power of 5 plus minus 8, that will give me 5 minus 8 is minus 3.

[00:01:23]So, I'm having x to the power of n minus 3 equals to x to the power of 20, okay?

[00:01:30]And equal bases can cancel out. So, I'm I cancel this out, I'll be left with n minus 3 uh sorry, n minus 3, okay? Equals to 20.

[00:01:41]And then we collect the like terms, I'm having n equals to 20 plus uh 3. And this is n equals to uh 23, okay? All right, this is the end of today's tutorial. And if you find any of this difficult, you can put in the value of n into what we're having here, okay?

[00:01:58]You put the value of n here, you'll be able to have x to the power of 20. Take that.

[00:02:02]Okay. So, don't forget n is now 23. So, that means 23 plus this, that's 28 minus this, that's equals to x to the power of 20. Try that in the comment section. Thank you. See you next time.