00:09
So let's stand with the problem.
00:11
It is use the law of exponents to rewrite and simplify the expression.
00:15
But i don't know.
00:18
I haven't been given anything else apart from the statement.
00:21
Okay.
00:22
So you can see over here.
00:25
You can only see use the law of exponents.
00:27
Okay.
00:27
So i try to find hard but i don't know which problems you're required.
00:33
But i'll just explain you the law of exponents so that you can do it.
00:37
And i'll be doing similar kind of questions.
00:40
So if that question matches your question, it is well and good.
00:43
Or else you can understand this general formulas and you can apply them.
00:49
Okay.
00:49
So a to the power n into a to the power n is a to the power m plus n.
00:56
Okay.
00:57
And a to the power m upon a to the power n is a to the power m minus a to the power n.
01:03
Okay.
01:05
And what else you need to know is root.
01:07
A is actually a to the power 1 by 2 and any nth root see this will be a to power 1 by 3 or anything a to the power n it will be a to the power 1 by n okay now a to the power negative power it is actually 1 upon a to the power am okay these are the rules i think you have to know and always the trick is we combine the like terms okay like terms we combine them okay and add the powers can add the powers see here a into a we combined a okay and then we added the powers okay that is the thing that we usually try to do so if i'll just do the problems if it is from exercise 1 .4 okay then it's well and good so i'll be solving each and every question i have no other option okay so first is a part is four to the power minus three i guess okay the issue is actually i'm from india so i don't have the textbook that you are using okay so i actually have to search and if you don't give much more details then it becomes hard okay so this is 4 to the power minus 3 and 2 to the power minus 8 so what i told apply this concept okay a to the power minus m is 1 upon a to the power m so you can transform this as 4 to the power minus 3.
02:39
This becomes 1 upon 4 to the power 3.
02:41
And same thing happens to this.
02:43
2 to the power minus 8.
02:45
When we take the reciprocal, okay, this becomes 2 to the power 8.
02:48
Okay.
02:49
So this is into 2 to the power 8.
02:53
Okay, so this becomes 2 to the power 8 upon 4 to the power 3.
02:57
Okay.
02:58
Now what you can do is you can write 4 as 2 square.
03:02
Okay, you can write it like this.
03:03
So i'll replace that 4 by 2 square.
03:07
Okay, i like it as 2 square and power is 3.
03:12
Okay, so this becomes 2 to the power 8 upon 2 to the power.
03:15
Now you see, i forgot you to tell.
03:18
So this is that formula, 8 to power m to the power n becomes 8 to the power m.
03:24
Okay, this is how it goes.
03:26
So we will apply the same concept, okay? see over here we have 2 and 3.
03:31
I hope you know 4 is 2 square so 2 into 3 it becomes 6 okay to 2 power 6 now we will apply this rule okay uh 8 to power m upon 8 to power n is 8 of m minus n so just subtract the power so this becomes 2 to the power 8 minus 6 this is 2 this is 4 okay so this is how it goes okay so is how much 2 to 2 power so again so again so again 2, 564 into 4.
04:07
So the value of 4 till power minus 3 upon 2 till 1 minus 8 is 4...