Pls don't differentiate math into grades here. If u go behind the proofs then it becomes much better

@@e_pi_i_is_-1 I don’t get what you mean

Bro i haven’t even learned this in school and I’m in 8th grade. I go to tutor tho for algebra 1 but my school is so slow

@@gwho.park575 No that is normal I learned this in 8th grade advanced math and that school is one of the best in my state i think he was just exaggerating

It’s late

On so many math videos people always say the video is wrong when it’s actually them thinking the 3rd and 5th cases are the same

Can you pls explain I don’t really understand

@@needshelpwithprocrastination When it is (a^b)^c, you can multiply the exponents, so you get a^bc. When it is a^b^c, you have to exponentiate b^c and then a to that, so you get a^(b^c)

@@dhdusidjdjso ohhhhhhhh

Who dis? PMGS ..yes / no?😅

Same

If you are unable to understand this kiddo problem even in class 9 then you are definitely a Dumbo. 😂

Brother we did this in 6th and understood

@@avyankumarsrivastava2905 Cool! I was online during covid so we didn't get to learn a lot of material, thanks for your input though! Glad you were able to learn this earlier and not struggle like me :)

X^y + Y^x?

Same

You have to practice.

Consistently.

Six plus five is eleven.

@@isavenewspapers8890 dang bro my bad

yeah ikr

That notation means x^(4^2) There would be no use defining it as being (x^4)^2 because yes, you could just multiply it

a1^a2^a3...^a_n is defined from top to bottom, so in this case it is a^(b^c)

I swear none of that was English

So cool omg1!1!1

I am in 4th standard from BHARAT,INDIA and you people look like dumb learning this in 9 th standard

x^1 = x. They mean the same thing and can be interchanged.

No he didn’t. this is what you’re taught in school, you just didn’t pay attention as well as you watch videos on KZfaq

@@largestbraingo lose your raincells

@@basilabuse they’re called braincells. Go pay attention in school

same I thought it was x^8 lol

No because there aren't parentheses on the x^4 which mean it's x^(4^2) (because the exponent has the priority), if there were parentheses such as (x^4)^2 then yes, it would be x^(4*2) which is x^8. Hope I helped.

@@latermyfriend8934 oh, so it was 4(square)? And not x(quad(sqare)).

​@@Nkit_1 yes its squared

No because 4² = 16

@@thepotassiumqueen2137 yah man i understood

There is a difference between (x^4)² and x^4², you know

He did power that means that he times 4 2 timed so it's like this 4×4 cuz it said times 4 twice cuz of the little number beside 4 if you wanna know more about thet write "power explained" you usually learn that before exponents tho

The 2 is an exponent on the 4. You can see that the 2 is raised slightly higher than the 4.

True！

Thanks 🥹💙

yep

but he wrote x^(4^2), there can be no doubt. On a keyboard it's a bit difficult to write it but it is clear that the exponent is to 4 and not to x to the 4. Otherwise there would be parenthesis like in the third example

well the way you write it can make it tricky in question you will be able to clearly see whether its square of whole or the power

Only x

x to the 1st power, or "repeated multiplication" with 1 copy of x, which just gives you x.

(2)

what needs explaining?

@@Anonymous-hv2zc fr

it's very self explanatory lmao

What's there to explain?

There is no mistake. That's how exponents are supposed to be evaluated.

Ok

Indeed.

Pretty sure it's just how you wrote it. That's the simplest form since the exponents are different. That is what wikiHow says anyway.

How were you able to write an exponent? You got some fancy keyboard?

We can't simplify this into an expression with only one x. However, we can do other things. The expression x^2 + x^3 is known as a polynomial, or an expression with nothing but addition, subtraction, multiplication, and positive-integer powers of variables. This definition is kinda complicated, so don't worry if it's hard to understand at first. x^2 and x^3 are the terms of the polynomial. In other words, they are the things being added together. This is where the word "polynomial" comes from; it is a combination of the Greek "poly", meaning "many", and the Latin "nomen", meaning "name". So "polynomial" means "many-named"; this refers to how a polynomial contains one or more terms. Our polynomial has two terms, so it is called a binomial. (Here, "bi" means "two", like in "bicycle".) We can also classify polynomials by their degree. The degree of any given term is how many instances of variables are multiplied within that term. For example, x^3 has a degree of 3, because it's x * x * x. The degree of the polynomial is equal to the degree of the highest-degree term. x^3 is the highest-degree term, so the polynomial has a degree of 3. In other words, it is a third-degree polynomial. One way to rewrite this polynomial is to order the terms from highest to lowest degree, which is often the standard way to write polynomials. x^2 + x^3 can be changed into x^3 + x^2. Another thing we can do is called factoring. Factoring is basically the inverse of distributing from the distributive property: instead of going from a(b + c) to ab + ac, you go from ab + ac to a(b + c). In our case, we can rewrite the polynomial as follows: x^3 + x^2 = x^2 * x + x^2 * 1 = x^2 * (x + 1) Like I said, this is basically just going backwards from the distributive property. if you want, you can verify for yourself that this works. One other common concept is finding the roots of a polynomial, or the values for your variables where the polynomial is equal to zero. Basically, "What number do I have to plug in for x so that this whole thing becomes 0?" You can solve this using an equation: x^3 + x^2 = 0 I'll rewrite the polynomial in its factored form from earlier, since that will be useful: x^2 * (x + 1) = 0 If our whole expression is equal to 0, that must mean that one of the two factors in it is equal to 0, right? If you multiply two numbers together and get 0, at least one of those numbers has to be 0. So we have two possibilities: x^2 = 0 or x + 1 = 0 For the first one, if x^2 = 0, then x must be 0. So x = 0 is one of the possible solutions, meaning it is a root of the polynomial. As for x + 1 = 0, we can solve this by subtracting 1 from both sides. We get x = -1, and this is the second root of our polynomial. Now to check our answers and see if they make sense. We can plug these values in for our polynomial. Let's start with x = 0: x^3 + x^2 = 0 0^3 + 0^2 = 0 0 + 0 = 0 0 = 0 Zero is indeed equal to zero, so that makes sense. Now for x = -1: x^3 + x^2 = 0 (-1)^3 + (-1)^2 = 0 -1 + 1 = 0 0 = 0 And this works once again. So our roots are x = 0 and x = -1.

@@isavenewspapers8890 HOLY SHIT- GET A LIFE. HOW DID U WRITE THIS *FOR A KZfaq COMMENT*

No

No

Never ever do math again

@@matteofontana_ you right, it's like x^(4*4), not (x^4)^2, as I wrongly thought. Bravo

@@gianlucalepiscopia3123 kekw

3-3=0 a^0=1

That's right. Any number divide by itself is always 1... except for 0.

Mine is 8th lol

@@Movie_edits_ omg it's 6th grade in my country

@@animemchik it’s 8 for me 💀💀💀

7th here!

Yes and Thats factually correct and is clearer. Afterall this is a lesson.

So what's wrong in it?

Yes. Exponents are evaluated from the top down.

this is middle school math

@@yslo and you're assuming I may not be in middle school?

@@DarkWinterAMV yeah pretty much

It's actually pretty basic.

Assuming x = 4.

x^4^2 = x^16 right? sorry i'm confused what you said there

It's actually x raise to power 8 Bcs we multiply the power on a power