Looks Easy, But This algebra Maths Problem Is a Trap!

calculator, can you evaluate this? Welcome back to my channel. Now, first of all, we need to ensure that this particular numbers that they are simplified very well. Okay, 64 is same thing as 2 times 2 is 4, 4 times 2 is 8, 8 times 2 is 16, 16 times 2 is 32, 32 times 2 is 64. So this means that this is equal to 64 and is equal to 1, 2, 3, 4, 5, 6, 2 to the power of 6. Now, similarly, 16 is 2 times 2 is 4, 4 times 2 is 8, 8 times 2 is 16. So 16 is 2 times 2 times 2 times 2, which will give us 2 to the power of 4. So I'm going to replace this with this and I will replace 16 with this. Okay, so we have this is 2 to the power of 6 raised to the power of 3 minus 2 to the power of 4 raised to the power of 4. If this is the first time you have seen this channel, please click the subscription button, turn on your notification bell so that you don't miss our videos. Always train at your convenience. There must be something new for you to watch by God's grace. Give us a thumbs up if you love what we are doing. And note, we are always in the comment section. So feel free, tell us whatever you want to tell us in the comment section and we are thanks to that. Okay, thank you very much. Now, moving forward, recall that A to the power of M raised to the power of N is equal to A to the power of M times N. So that means that we can write this as 2 to the power of 6 multiplied by 3 minus 2 to the power of 4 multiplied by 4. So we have 2 to the power of 18 minus 2 to the power of 4 times 4 is 16. Now, we want to make both of them to have the same power and the easiest power they can share is 2. So we can write this as 18 is 2 times 9 and 16 is 2 times 8. So we can write this as 2 to the power of 9 multiplied by 2 minus 2 to the power of 8 multiplied by 2. Now, this is the same as 2 to the power of 9 raised to the power of 2 minus 2 to the power of 8 raised to the power of 2. So now we have difference of two squares. We have difference of two squares. Remember that A squared minus B squared is equal to A minus B multiplied by A plus B is equal to A minus B multiplied by A plus B. Now, in this case, our A is 2 to the power of 9. Our B is 2 to the power of 8. So we can write this as 2 to the power of 9 minus 2 to the power of 8 multiplied by 2 to the power of 9 plus 2 to the power of 8. Now, let's simplify this further. 2 to the power of 9 is the same thing as 2 to the power of 6 multiplied by 2 to the power of 3. Now, I'm using 2 to the power of 6 because we already know that 2 to the power of 6 will give us 64. Now, 2 to the power of 8 is 2 to the power of 6 multiplied by 2 to the power of 2. Therefore, we can write this as 2 to the power of 6 is 64. So we can rewrite this as 2 to the power of 9 is 64 multiplied by 2 to the power of 8. 2 to the power of 3 is 8. Now, 2 to the power of 8 is 64 multiplied by 2 to the power of 2 is 4. If we solve further, we will have this to be 8 times 4 is 32. We rewrite 2 and carry 3. 8 times 6 is 48. 48 plus 3 is 51. So we have 5, 1, 2. Now, for this, we have 4 times 4 is 16. Carry 1. 4 times 6 is 24 plus 1 is 25. So we have 5, 1, 2 and 2, 5, 6. So we can now rewrite this. I'm just trying to ensure this is done in a simpler way. That's all. Now, we will write this as 2 to the power of 9 is 5, 1, 2. If we solve further, let's solve 5, 1, 2, take away 2, 5, 6. 5, 1, 2, 2, 5, 6. 12, take away 6, we give us 6. 10, take away 5, we give us 5. 4, take away 2, we give us 2. So we have 2, 5, 6. Oops! Really? 2, 5, 6 into 5, 1, 2 plus this. So we have 8, we have 6, and we have 7. So 7, 6, 8. We are almost at the end of this. So this is equal to this multiplied by this. Let me rewrite this. 7, 6, 8 multiplied by 5, 2, 5, 6. So we can write this as 7, 6, 8 multiplied by 2, 5, 6 is 200 plus 50 plus 6. Yeah, let's do it that way. Now, we can easily multiply this by 200. We add these two zeros at the back. So we have 7, 6, 8, 0, 0 multiplied by 2. Then we solve 2 times 0 is 0, 2 times 0 is 0, 2 times 8 is 16. We write 6 and carry 1. 2 times 6 is 12. 12 plus 1 is 13. Write 3 and carry 1. 2 times 7 is 14 plus 1 is 15. So we have 1, 5, 6, 153,600 plus, now 7, 6, 8 times 50 is the same thing as 7, 6, 8, 0 times 5. 5 times 0 is 0, 5 times 8 is 40, 5 times 6 is 30 plus 4 is 34, 5 times 7 is 35, 35 plus 3 is 38. Now, we have 7, 6, 8 times 6. 6 times 8 is 48. 6 times 6 is 36 plus 4 is 40. 6 times 7 is 42. 42 plus 4 is 46. So, we are going to add everything together. So, adding everything together, we have 1, 5, 3, 6, 0, 0 plus we have 0, 0, 4, 3, 8 plus we have 4, 6, 0, 8. Bring down 8, 0. This is 16. Carry 1. This 3 plus 8 is 11. 11 plus 4 is 15 plus 1 is 16. Write 6, carry 1. 5 plus 3 is 8 plus 1 is 9. So, our answer is 196,708. That is 196,708 without the use of a calculator. Thanks so much for watching and see you in my next video.