Matematika Dasar: Eksponen | Definisi & Sifat Eksponen | Part 1

Hello, friends of AdSense, greetings smart. Meet again with Kak Jonah, Tutor Mathematika, AdSense.id. In this video we will discuss the material about the first part of the exponent. Okay, friends of AdSense,

In this video we will discuss the matter of the superdescent exponent What is that exponent? Exponent means the rank of superdescent So here we will discuss the characteristics of rank Or the rank of the number can also be said like that

Okay, so we start from the initial understanding. What is the division? So, for example, we have a to the power of m, right? a to the power of m. Where m is the original number. The original number is from 1, 1, 2, 3, 4, 5, and so on. Now, what is a to the power of m? a to the power of m is a multiplied by m times. So a

times A, right? times A and so on until the amount of M, the amount of M, this is the initial understanding, right? A to the power of M, so for example we have the attribute of having 3 to the power of 2, what does 3 to the power of 2 mean? 3 times 3 means how much? 9

For example, 4 divided by 3 means 4 times 4 times 4 means 64. If minus 2 divided by 5, for example, it means that minus 2 times 5. Minus 2 times minus 2 times minus 2, up to 5 times. So how much is that? Minus 32. Now this is the attribute of division.

if the rank is the original number, right? Well, if the rank is not the original number, what about the negative? For example, 3 rank -2 only, how about that? Can it be? Is there a 3 ranked negative? What does it mean? Or for example, 3 rank split, the rank is half, what is that? Is there a 3 rank half? There is, my friend. Now, to discuss about

the units that are not real numbers anymore, we use the units' properties. So, what are the properties? The units' properties or the exponents. What are the properties? The first one, if you multiply two units with units, for example, a^m, multiplied by a^n, so the basis is the same.

The base is the same as A, the bottom is the same as A. If we multiply it, it becomes A to the power of m plus n. So the power is added. For example, we want to multiply 5 to the power of 3 and 5 to the power of 2. What does 5 to the power of 3 mean? There are 3 5s, right? There are 3 5s. 1, 2,

3, this is 5/3 we multiply again with 5/2 5/2, how many 5s are there? there are 2, it means 5 5, right? this is 5/3 this is 5/2 now try to see, now how many 5s are there? 1, 2, 3, 4, 5 it means the fall is 5/ what? 5/5, sobat esen so is it the same as

we just add the grade 3 + 2 how much? 5 right? same as 5 + 3 + 2 = 5 + 5 so the attribute if we multiply it but the basis is the same, just add the grade okay easy, the first attribute, the second attribute

the basis is the same again but now divided for example a to the power of m divided by a to the power of n, my friends. What is the nature of this? The nature is that if the times were added, the divided ones are reduced now. So if the basis is the same, just the power is reduced. a to the power of m is reduced by n. So for example, we want to divide this.

5/7 divided by 5/3, which means what? 5/7 means what? 5 has 7, right? 5 times 5 times 5 to 7. Well, this is 5/7. 1, 2, 3, 4, 5, 6, 7. We divide by 5/3. It means 5 times 5 times 5 to 3. Right? It's already 3.

If the numbers are the same, we just subtract, right? Divide, we try to subtract. Disconnect this one, this one, and this one. How many 5s are left now? 1, 2, 3, 4. Only 4 left. So if there are 4 5s, what is the abbreviation? 5 to the 4th. Is it the same, Esen? If we subtract it. 5 to the 7-3, how many?

5/4 is also the same, right? The result is the same, so if the division and the basis are the same, the same A, it's just reduced by the number, so A/M divided by A/N, so A/M-N. Okay, SN friends, previously we have discussed two characteristics, now the third one. Now the third characteristic is

If we already have an exponent, then we divide it again. So what happens? We just multiply the exponent, the unit. So m times m. For example, we have 5 divided by 2, then we divide it by 3. What does this mean? 5 divided by 2 is equal to 3, right? 5 divided by 2, 5 divided by 2, 5 divided by 2.

Well, there are as many as 3. Even though 5 divided by 2 itself, 5 is as many as 2. So 5, here are 2 more. Well, here are also 2. Here are also 2. Now look, testers. Now how many 5s are there? There are 6. It means this is 5 divided by 6. Isn't it the same as we just multiply it? So 5 divided by 2 times 3. How many 2 times 3? 5 divided by 6.

Same, right? So if there are digits, the digits are multiplied. Okay, the fourth attribute, SN friends, is when we multiply two shapes, like this, A times B, then after that we divide by N or M, M only, we divide by M. So each of them is divided by SN friends, so A divided by M times B divided by M.

So for example, we have 2 times 3, then divided by 4. What does this mean? 2 times 3 is equal to 4. So 2 times 3, multiplied by 2 times 3, multiplied by 2 times 3, multiplied by 2 times 3. There are 4, right? This can be separated, right? Look, 2, 2, 2, 2. How many 2's are there? There are 4.

So 2/4, 1, 2, 3, 4. 3 is 4 times 3/4. So it's the same, right? 4 is for 2, 4 is for 3 too. So 2/4 times 3/4. Same as this attribute. AB/M, so M is for A, A/M, M is also for B, B/M. Clear? The fifth attribute now. Well, the fifth attribute is the same as this. This is a multiplication.

This is division, so if we have a form of division, a/b, then we divide by m, m becomes for both, a/m divided by b/m, yes, exactly the same. For example, 2/3, we divide by 4, this means that 2/3 has 4, right?

2/3 * 2/3 * 2/3 * 2/3 See now, how many 2's are there? 2 has 4, so 2/4 divided by 3, how many below? 4 too, 3/4, right? So the 4th place is for them both

So if the division is divided by something, this something is for them both. So A divided by B divided by M. Clear? Now what if the division is not the original number, Mr. PT Sen? The previous one, the negative one. Try for example, what does it mean?

3 -2, for example, what does it mean? Well, if 3 -2, we can't make 3 as much as -2, we can't. If this is possible, for example, 2/3 is 4, so 2/3 is 4. Does this mean 3 has -2? It can't be, right? 3 has -2. Well, if the negative is, the way is

we put it below so that the rank is positive so 1/3 rank 2 like this, sobat SM so the previous one was negative, we changed it to positive but the position is below so 1/3 rank 2 yes, what are the ends? 1/3 times 3, 3 times 3 is how much? 9 yes, 1/9 so the attribute is

a negative point m if the point is negative it is put below so 1/a point m so that it is positive again so one more example, for example 4 point -3 means what? 1/4 point 3 how much is that? 1/4 times 4 times 4 how much? 4 times 4 16 times 4 64

It's clear, right, SN? If the rank is negative, it's below the position. Okay, the next attribute is... What if the rank is zero? A rank zero, for example. Well, if A rank zero is equal to one, SN. All numbers if ranked zero, the result is one. Except... Except... Except zero rank zero. Zero rank zero is not allowed, SN. So zero rank zero is...

There is no or called indefinite if in mathematics Definition So you can't have zero zero, you can't But if two zero, three zero, four zero, all zero is one Four zero, minus three zero, that's all one Only zero zero that is not allowed

Yes, easy, right? Now, what if the rank is divided? 1/2, 1/3, 1/4, right? 2/3, 2/4, 2/5, right? So if the attribute for the division is divided, for example, A is m/n, right? So, for example, 2/3/2, what does this mean? It's impossible, right? We make it like this.

2/3 is 4, so 2/3 is 4. What about this one? 2/3/2, so 2 is 3/2. No, 3/2 is 3/2. We can't make it. So, if 2/3/2, we change it to the root form, sobat SN. It falls into the root form. So, the root, the 2 is outside,

the 3rd is inside, so 2/3, okay? Same again, for example 3/3 means root, the bottom is outside, the top is inside, 3/1, 4/2 means root, 2/4

But usually the root of the second is not written, so the root of 2 is just 3 If 3 is written, 2 does not have to be written, so the root of 4 How many is the root of 4? 2, so 4 divided by half is 2, okay? It means that a divided by m divided by n will become the root of a divided by m but divided by n, so to speak

So actually the shape of the root is also the shape of the exponent So if it's half, usually what we use is half So just remember that if the shape of the middle finger is 4 middle fingers, it's root 4 This is the most commonly used middle finger 9 middle fingers 9 middle fingers means what? root 9 means 3 Okay, testers, middle finger

Well, these are the exponents that we will use to work on questions. Okay, friends of Edsen, in this video we have discussed the material about exponents, the first part. Hopefully this video is useful for friends of Edsen. See you in the next video with Kak Jonah. Smart greetings.

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