Exponents (Negative & Zero)- Rules Explained & Examples Worked

[@hellokitty-lw2mb]

'Most comprehensive negative exponents video on youtube to date' You may use this as a badge Mr Math. You earned it!

[@MrB4math]

Thank you, I appreciate your thoughts.

[@MrB4math]

You are welcome and thanks for the comment

[@deirdreberger1363]

Thank your for the informative, in-depth explanation. It cleared up all the “whys” my high schooler had.

[@MrB4math]

Thank you for the comment and the compliment.

[@Hotase]

so u like a parent, teacher, or what. like ur son (or daughter) is a high schooler or ur a teacher that couldn't answer his questions?

[@MsDera81]

@@MrB4math At 27:20, why didn't you subtract the exponents on the x variable the way you did with the y variable?

[@gavinedgar9464]

Sorry to be so off topic but does someone know of a trick to get back into an instagram account?? I was stupid forgot my login password. I would appreciate any help you can give me

[@donaldjett8037]

@Gavin Edgar instablaster =)

[@moniquemaddix7394]

Very clear and thorough, thank you. ONE of the best I've seen so far. Thanks again.

[@MrB4math]

Thanks so much for your comment.

[@stephenraj5341]

your teaching is very very clear I even cleared the doubts for my friends before I will go and stand for doubts I even got this concept very good marks

[@judithryan783]

This lesson helps a lot to review after summer break. Thank you Mr.84

[@MrB4math]

@@judithryan783 I'm glad it helped. Thanks for the comment.

[@mansanitas6468]

Thanks. I kinda had a mental break down before this HAHAHAHA

[@Hotase]

u should prob go see someone about that

[@victorpena4367]

you're not the only one

[@aaronnn.47]

🗿

[@aziza4654]

I am currently hav8ng a mental breakdown

[@Yuki-xl1xg]

I just had one, I was going crazy because my test was the next day

[@raisingwings6951]

Thank you for such clear explanations! We really appreciate your hard work.

[@MrB4math]

Thanks for the compliment. You are welcome.

[@Hotase]

yes. it was CRYSTAL clear

[@slasankautube]

that was on of the best tutorial i have seen

[@KoffiBossoMath]

That is well explained.

[@rhoadsgilbertfan4125]

Thank you very much, this helped me understand a lot of things. I'm much further along than this but as you know, math is foundational and I was ending up getting much more advanced problems wrong because of mistakes in other places

[@Hotase]

this is what the internet is for

[@vanesapasochoa8833]

I learn with you within minutes rather than with my professor 😭&’ THANK YOUU

[@MrB4math]

Thanks, I'm glad it helps.

[@eukoyonoh]

Thank you so much. Very well simplified.

[@MrB4math]

I do appreciate your thoughts, thanks.

[@KoffiBossoMath]

I agree.

[@powerofroses1670]

Thank you. I understand this better now. Good luck into making more videos.

[@Hotase]

get rid of the "into"

[@kylermcmillian4122]

I have my final test for my semester tmr thank the lord you posted this video. I missed 3 days of school and showed up with this confusing math and this helped me so much I feel confident now. Thank you! Your the reason I’m gonna keep my grade in the class lol

[@MrB4math]

Way to go the extra mile. Thanks for the comment

[@josi1224]

😅😂​@@MrB4math

[@naderhumood]

Thank you very much indeed Sir, that's was first class of work.

[@MrB4math]

You are quite welcome, and thanks for the kind words.

[@navajohnny76]

This will help me with calculus. Thank you.

[@Hotase]

how tho

[@caslhyne7451]

at 26:16, can u explain to me why did you not do the reciprocal on the given? i thought when you're having a negative exponent the given which is inside the parenthesis will be reciprocated?

[@MrB4math]

You can take the reciprocal, but the negative exponents inside the parentheses would stay negative; you would have to take more reciprocals. Notice how much becomes positive by using the power property. Thanks for the time reference.

[@caslhyne7451]

now i understand, thank you !!

[@tolunai]

man you saved my life. In 11:42 when we reversing fraction for clearing negative sign of exponent, and then when we reverse again to multiply fraction i though we need to add the negative sign back because we are reversing again. But i see reversing for the multiplying does not change the sign of exponent.

[@xo.iliana]

thank you so much for clearing this up for me😭. my math teacher hasn’t been teaching much on how to solve and just throws problems at us and the quiz we have this week made me scared I wasn’t gonna pass but thanks to your video i’m more confident i’m gonna pass😁

[@MrB4math]

I'm so glad the video helps. Wish your teacher was more helpful. I hope your persistence pays off.

[@jonwill]

Excellent presentation; thank you for sharing.

[@KoffiBossoMath]

I agree

[@KoffiBossoMath]

Great video here and well explained. Thanks for sharing.

[@HazzM]

Thanks for your time spent going over this, really appreciated. Informative and nicely done. Subbed

[@MrB4math]

Thanks for the comment, compliment, and sub.

[@Hotase]

im actually eating a meatball sub rn

[@txuravity3190]

Thanks needed this for my math honors class work

[@hannah090209]

10:00 Why did the negative exponent went upwards?

[@MrB4math]

A negative exponent means you are to write the reciprocal, and that makes the exponent positive. So from the top, it goes down, but from the bottom it goes up. I hope this helps. Thanks for the time reference.

[@MrB4math]

I'll try, MrB4math.com I don't know if KZbin let's that become a link. Or perhaps MrB4math.com will work.

[@Hotase]

@@MrB4math why did the "go" turn into a "went"

[@stevesantos8712]

Great material!!-answered a lot of questions

[@MrB4math]

I'm glad it helped. Thanks for the comment, and the compliment.

[@Hotase]

i swear hes copy and pasting these replies now

[@evoke2976]

28:56 how is that exponent 6 a negative? aren't you adding two negative numbers?

[@MrB4math]

If signs are the same you add and keep the sign. Had we been multiplying, a negative times a negative would give a positive. I hope this helps.

[@KoffiBossoMath]

He added and kept a negative sign. Well asked.

[@MarkJohnson-du2bc]

clear and precise explanations, thank you

[@KoffiBossoMath]

I agree

[@georgesadler7830]

Thank you for this fantastic math video.

[@MrB4math]

I appreciate the compliment, thanks

[@hannahsiega5095]

Thank you so much!!! This helped me a lot

[@MrB4math]

Thanks for your thoughts. I'm glad it helped.

[@StrawberryKawaii858]

Question 10 @ 30:31. You don’t multiply 2x2 ?

[@MrB4math]

When multiplying like bases you add exponents instead of multiplying bases. I hope this helps.

[@trinitylancer]

I am glad you asked that question, that means you pay attention regardless of being a bit confused. I too questioned his answer until I read his reply to your question and then it all made sense. Our minds can sometimes wander on easy concepts at times since we are so focused on a specific operation with these exponent examples and I for one am not immune.

[@Rebeccaoseni89]

im unsure as to why we move the 7 up and the 1 down to the denominator can u pls explain 13:02

[@MrB4math]

The negative exponent means "take the reciprocal," so that means to "flip" whatever it is "attached to." Thus, you should flip everything in the parentheses, and that makes the exponent positive. I hope this helps.

[@Hotase]

you could start withh getting rid of all those numbers in your username. you'll never remember that

[@loudouxmiamo5285]

Vraiment merci mr j'ai apprécié,c'est magnifique et vous êtes Genial . Malgré que je ne comprends presque pas ce que vous dites, mais je me sent dans votre simplification très riche et à ce fait, je m'abonne

[@MrB4math]

Merci pour le compliment et pour votre inscription. Malheureusement, je n'ai appris que l'anglais, mais peut-être qu'un jour, je pourrai apprendre suffisamment d'une ou deux autres langues pour voyager plus souvent et discuter avec des gens comme vous. J'espère que Google a bien traduit mes mots.

[@rosemarybanks915]

You are an excellent teacher. THANK YOU,

[@RB-nm3ko]

Regarding problem #2 (14:20) can you further explain why you can keep moving the -5 from numerator to denominator and then to numerator again? Thanks

[@MrB4math]

At about 14:20, I'm flipping everything inside the parentheses, and only the exponent outside of the parentheses changes, from negative to positive. It's the outer exponent sign change which accounts for all of the movement inside the parentheses. Notice that none of the positive exponents within the parentheses changed (became negative), so likewise, the negative exponent does not change (become positive). Then at about 15:39, only the x with the -5 goes up to the numerator and that exponent then changes; it becomes positive. So each time something moves from top to bottom, or bottom to top, that movement is "accounted for" with an exponent sign change. At 23:38, I start presenting #7 and #8, which may be helpful as they have similar set-ups. Thanks for the specificity and time stamp in your question. I hope this is not too wordy.

[@umamaheswari4625]

Sir, in 6 th sum also, you have kept moving the u ^ _ 6from the numerator to the denaminator, as u ^ _ 6 and then multiplied u ^ _ 6 with 3 and again keep moving the u ^ _ 18, from the denominator to the numerator, as u^18/125. What is the reason? Can you explain me? Thanks.

[@musangwagodfrey3932]

This is a very great job

[@MrB4math]

Thanks, I appreciate the word

[@FxrceBS]

12:43 THUMBNAIL

[@clareashton5027]

I have a question with a fractional exponent on both numerator and a negative exponent on the denominator, which is then all to the power of another fractional exponent, i.e, (x-^1/2/x^-5)^-2/3, I'm not really sure where to start, any ideas?

[@ahsanmohammed1]

Thank you! Much appreciated.

[@glasssmirror2314]

Tks teacher for ur explanation but pls this may b confusing if u mute the video when you use period (.) for multiply instead of comma or colon in ur first workings for other verifications.

[@John-mt2vh]

Thank you so much, you cleared my confusions

[@MrB4math]

Excellent

[@chrissystewart6268]

Thankyou for teaching me what I never learned in school so I'm looking for to earned my GED sir😎😀😊

[@MrB4math]

I wish you all the best in your efforts.

[@idiotsandwich4102]

This helped me a lot, thank you!

[@MrB4math]

Excellent

[@msgclassroom8597]

Thanks 😊 Your explanation helped me

[@marymojica123]

Why does the 2 in question 10b disappear. Why is it 2 to the power negative 3 and not 4 to the power negative 3

[@MrB4math]

Good question, the 2 stays a 2 because all of the multiplying is taken care with the exponents. Notice with the previous problem, the y stays the same and all of the multiplying is taken care of with the exponents. I hope this helps.

[@shrabontybairagi5730]

I Have Exam Tomorrow! Thankyou So Much!❤

[@AstroAbdullah25]

Thank you so much Sir! ❤️

[@MrB4math]

You're welcome, and I'm glad it helped.

[@farheenyousuf6199]

Thanks alot for the wonderful explanation

[@SamirSelim]

How did you make this video?

[@MrB4math]

I used a Canon video camera mounted over desk, temperature adjustable light (yellow to blue), video editing software, and many many hours of work.

[@SamirSelim]

@@MrB4math thank you for reply did you use a mobile phone? how did you fix on the desk, sir?

[@MrB4math]

@@SamirSelim I attached the Canon video camera to a "boom arm," which I ordered from Adorama. (An incredible camera store based in NYC.) It is a lot of work to shoot that way. Lately, I have started using a Microsoft SurfacePro IV, along with Camtasia. You write on the computer screen and Camtasia records what you write and say. Editing is much easier and faster without one's hand in view.

[@Hotase]

with a camera

[@splashyt582]

My exams is tomorrow and I can't understand what my math teacher teach us,this vid is so helpful

[@MrB4math]

Thanks for the comment and the compliment. I hope that your test goes well.

[@Hotase]

hes obviously not a good math teacher then

[@real_wiam]

Great video ! helped me understand it finally thank you thank you so much....

[@joeramirez1275]

zero to the power of zero is zero because of zero, denoted by 00, is a mathematical expression with no obvious value. Possibilities include 0, 1, or leaving the expression undefined, with justifications existing for each of the possibilities.

[@hafeezahmed4941]

Thanks sir ap ny buht acha samjhaya

[@rekhabl9980]

Good teaching ..

[@glasssmirror2314]

Tks Mr Bmath 4 yr nice explanation.Pls u mentioned that in dividing like bases then take away smaller exponent from larger exponent.I think this wont work if numerator is smaller than denominator.

[@MrB4math]

Thanks for the comment. If you check #7, which starts at 23:38, you will see the rule work. I have several examples in the two introductory videos for positive exponents the "Exponents (Positive) Rules" video and the "Exponents (Positive)- Simplify or Combine Like Terms," video. I hope this helps. FYI, this is easier to navigate at my website, MrB4math.com, and I have practice worksheets with detailed answer keys.

[@student3866]

if it is 32 power -y3 will it be 32/ycube

[@MrB4math]

If it's 32^-(y^3) it would be. It's harder to read and write without superscript, or mathematical notation.

[@kingcam4341]

Thanks this video is very helpful

[@darkgaming5944]

Thanks a lot this helped me a lot

[@itsmemc5241]

Whats your website? I loved this so much! Thank you!

[@MrB4math]

It's MrB4math.com. I hope you find it useful. I want to get the comment option working, but I am way too busy with a new job as an adjunct. Everything else works fine though.

[@Hotase]

why did u say thank you before he answered the question. and how did u know he had a website but didn't know what it was called.

[@elbetheltigist8353]

@@Hotase₩O₩!!! you seem like a crime detective (investigator) 👏👏👍

[@Hotase]

Elbethel Tigist bitch I literally am

[@hellokitty-lw2mb]

@@Hotase well, that is pretty dumb for a crime 'investigator'. Most people on youtube, especially teachers, have websites. It's totally okay to say thank you in advance. Bet you are trolling haha.

[@AngieMusicArt]

Do you have videos about dividing polynomials?

[@MrB4math]

If you mean dividing polynomial by a monomial, I have a video on youtube, but it's best to see it on my website, MrB4math.com. That video is here: mrb4math.com/exponents.php#E__Pos_-_Divide_Polynomials_by_Monomials If you mean dividing polynomial by binomial, I have this one example from some years back. It's only on my youtube channel. kzbin.info/www/bejne/inbVgWmwa5KKhMk I hope it helps. Mr B

[@Hotase]

what do you think

[@WediOrphan]

your video is very helpful sir thank you

[@MrB4math]

You are so welcome, and thanks for the comment.

[@Hotase]

wow. he said so this time. you should be proud

[@stickmanlegends521]

I can't find your site

[@MrB4math]

MrB4math.com should get you there.

[@ytbtw5139]

Is this GCSE or A-level maths

[@Hotase]

i think its, 8th grade

[@AngieMusicArt]

This is fabulous!

[@MrB4math]

Thanks for your comment and compliment.

[@Hotase]

SOOOOOO FAB

[@violetvettie4502]

I really wish i found this sooner😭

[@red2802]

Same 😭

[@adri4729]

Thanks for teaching me that.

[@MrB4math]

You are welcome, and thanks for the comment.

[@Hotase]

did ur teacher not?

[@chambs2782]

What grade in math?

[@KoffiBossoMath]

I think High School or equivalency

[@jabelday1439]

Thank you for this video.

[@FxrceBS]

16:22 most replayed

[@winter_armamenter]

Ah, hello adventurer! If ur one of my classmates that don`t want to read the module and chose youtube to learn instead.

[@cheilionmontgomery9160]

what u should slow down and explain this more

[@MrB4math]

I appreciate comments, but this is a bit too general for me to offer help. If you can be more specific, I'll try to explain. Are you already familiar with how to simplify expressions with positive exponents? It's best to get fairly good at that prior to working with negative exponents. If you just don't like how I explain things, you might like purplemath.com. Good luck.

[@at.3535]

j

[@Hotase]

why is there a what. and there is a thing called pausing the video

[@sulaimansafi5457]

You did a mistake for #9 (-30) should be in the bottom, then he will change his sing to +30.

[@MrB4math]

Thanks for the comment, but you are a bit off the mark; #9 is correct. A negative exponent requires taking the reciprocal, but a negative coefficient is just a negative number, it does not move to the denominator and become positive.

[@sulaimansafi5457]

MrB4math so if I have a negative number I don't have to move it?

[@MrB4math]

That is correct. It is only when you have a negative exponent that you have to move it (up or down) to change its sign.

[@sulaimansafi5457]

Thank you very much, sir!

[@MrB4math]

Sulaiman Safi You are quite welcome.

[@aloknarayan7737]

Thanks helped alot!!

[@MrB4math]

I'm glad it helped.

[@Anonymous-vb1ve]

Thanks😊😊😊

[@andreynadz1287]

Thank you so much sir!! Really helped me!! Btw i'm a 7th grade student and our lesson are very advanced! 😬😬

[@MrB4math]

I agree, negative exponents in 7th grade. Good job.

[@Hotase]

ha. lol. im in 8th grade so im older than u

[@hexagonmagnetics569]

good stuff, Too bad these videos wasn’t around 21 years ago!

[@MrB4math]

Thanks and I agree

[@casey4735]

Thank you so much 🙏

[@josophens4399]

My brain cells are dying

[@ytbtw5139]

I feel u

[@Hotase]

from the vid. like is i hard for you to interpret? because this man has Math in his last name so i think he would do a good ob explaining.

[@Hotase]

@@ytbtw5139 i feel u 2

[@tresajessygeorge210]

THANK YOU SIR...!!!

[@MrB4math]

I'm glad it helped.

[@KoffiBossoMath]

Well explained.

[@jorgecordobazota4607]

tnx!! now ill go good for my class xd

[@Hotase]

first of all, its "Thx" and "XD" second of all, you do not go good for your class. You "will do well in" your class.

[@josh.h4196]

If it’s divide you minus if it’s times you add powers. That’s over complicated and takes way too long for a 1 mark question.

[@aperson2391]

Josh Humphrey That's math for you.

[@amazanjean8350]

What is this?

[@Hotase]

math

[@bassman1ism]

Why not just divide

[@MrB4math]

As stated, dividing is covered previously. This is to show meaning of negative exponent (take reciprocal), and zero exponent (result is always 1).

[@SensitiveHercules]

0 to the power of 0 is 1 and it's officially proved

[@Hotase]

know it all

[@cyberskullvalor5558]

I ascended after watching this

[@Hotase]

ascended what. in math, english, not dumbness?

[@lovaboy0076]

thank you so much

[@MrB4math]

You are welcome; I'm glad it helped.

[@marckjunesantos4473]

problem no 7 is wrong

[@MrB4math]

7 is correct, every step. If you specify what you think is wrong, perhaps I can help you.

[@pushpendrajawanda5667]

Thank you I from in India jai hind.

[@businessmanager4746]

Confusing discalculia

[@Josh-rd5dw]

do you really have to underline the number?... i can see it..

[@MrB4math]

I do appreciate your comment, because others may feel the same way, but to the best of my knowledge, there is no point in the video where I merely "underline" a number. I put fraction bars under numbers or variables when necessary, which is fairly often when working with negative exponents. If you mention where in the 32 minute video you first see the instance to which you refer, I would be happy to elaborate on what I'm doing, or perhaps I can change it if it causes confusion.

[@Psfz2]

I'm dumb at math so I watch this😂

[@Hotase]

and at inglish

[@Psfz2]

@@Hotase bro youare the trash at inqlish not me👌🏻

[@yashhh5599]

Its 8 pm and tommorrow is our Periodical Test and... I haven't reviewed anything. 🤣

[@Hotase]

thats all on u if you fail

[@lisanguyen2397]

Thank you

[@Hotase]

your welcome

[@babidollmara]

who else is doing their math school work aka COVID-19

[@farheenyousuf6199]

👏👏👏👌👌👌👌

[@ProfeJulianMacias]

Oh....great...

[@KoffiBossoMath]

Yes.

[@eugenepashch5213]

This must be played at 125% speed.

[@Marusija8]

👍👍👍👍👍👍👍👍⭐️⭐️⭐️⭐️⭐️⭐️⭐️⭐️

[@MrB4math]

🙂

[@YY-fs4si]

Ok Excellent

[@annegatan582]

pinahirapan mo pa.. pwde nmn 3-5 haha

[@EnvyProof]

Awesome

[@Hotase]

epic.

[@fidanlarafisildayan6306]

Süper!

[@KoffiBossoMath]

No doubt

[@damon123jones]

oh thanks the (X to the-7) in the denominator is actually X to thepower of 7 in the numerator woohoo