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00:00Welcome everyone. So yes, a lot of people thought that the answer for this one is supposed to be 3 because we know that 3 raised to 5 and 3 raised to 5 can get cancelled and 3 raised to 6 divided by 3 raised to 5 the answer is supposed to be just 3.
00:19See, that is incorrect. The reason for that is because the numerator doesn't have something like this 3 raised to 6 multiplied by 3 raised to 5. Okay, and even then in that case, the answer would have been just 3 raised to 6. Okay, so at this point, how you should have done this?
00:37See, please understand that when you have something like this, we need to try to simplify the numerator or other to take things common. So from 3 raised to 5 and 3 raised to 6, what we can take common is 3 raised to 5 minus and sorry minus when you take 3 raised to 5 away from 3 raised to 6, you are just left with one single 3. So we are left with 3 raised to 1 and this entire thing is gone out. So you are just left with 1. Okay.
01:07And this is 3 raised to 5. Now if you see what will happen in this case is this and this gets cancelled. So you are left with 3 raised to 1 is just 3 minus 1. The answer for this one is supposed to be 2. Now you might be wondering how did I do it? So 3 raised to 6 can be written as 3 raised to 5 plus 1. Correct? Minus 3 raised to 5. So then what did I do is see A raised to M plus N can be written as A raised to
01:37M into A raised to N. So I wrote this 3 raised to 5 plus 1 as 3 raised to 5 into 3 raised to 1 minus 3 raised to 5. Now from this point I can take 3 raised to 5 common. I hope this is very very clear to everyone. That's it for today. I will see you in the next video.
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