Exponents (Negative & Zero)- Rules Explained & Examples Worked
Based on rules for positive exponents (with which you should be familiar), I develop the rule for negative exponents, and the rule for zero exponents; this takes the first 5 minutes. In the rest of the video, I go over about 20 examples of simplifying what you are given when negative and/or zero exponents are involved.
Пікірлер: 234
'Most comprehensive negative exponents video on youtube to date' You may use this as a badge Mr Math. You earned it!
@MrB4math
3 жыл бұрын
Thank you, I appreciate your thoughts.
@MrB4math
3 жыл бұрын
You are welcome and thanks for the comment
Very clear and thorough, thank you. ONE of the best I've seen so far. Thanks again.
@MrB4math
5 жыл бұрын
Thanks so much for your comment.
Thank your for the informative, in-depth explanation. It cleared up all the “whys” my high schooler had.
@MrB4math
4 жыл бұрын
Thank you for the comment and the compliment.
@Hotase
4 жыл бұрын
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
3 жыл бұрын
@@MrB4math At 27:20, why didn't you subtract the exponents on the x variable the way you did with the y variable?
@gavinedgar9464
2 жыл бұрын
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
2 жыл бұрын
@Gavin Edgar instablaster =)
Thanks. I kinda had a mental break down before this HAHAHAHA
@Hotase
4 жыл бұрын
u should prob go see someone about that
@victorpena4367
4 жыл бұрын
you're not the only one
@aaronnn.47
2 жыл бұрын
🗿
@aziza4654
2 жыл бұрын
I am currently hav8ng a mental breakdown
@Yuki-xl1xg
2 жыл бұрын
I just had one, I was going crazy because my test was the next day
Thank you for such clear explanations! We really appreciate your hard work.
@MrB4math
5 жыл бұрын
Thanks for the compliment. You are welcome.
@Hotase
4 жыл бұрын
yes. it was CRYSTAL clear
I learn with you within minutes rather than with my professor 😭&’ THANK YOUU
@MrB4math
Жыл бұрын
Thanks, I'm glad it helps.
Thanks for your time spent going over this, really appreciated. Informative and nicely done. Subbed
@MrB4math
5 жыл бұрын
Thanks for the comment, compliment, and sub.
@Hotase
4 жыл бұрын
im actually eating a meatball sub rn
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
Great video here and well explained. Thanks for sharing.
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
4 жыл бұрын
this is what the internet is for
Thank you! Much appreciated.
Thank you. I understand this better now. Good luck into making more videos.
@Hotase
4 жыл бұрын
get rid of the "into"
that was on of the best tutorial i have seen
@KoffiBossoMath
4 ай бұрын
That is well explained.
Thank you so much. Very well simplified.
@MrB4math
5 ай бұрын
I do appreciate your thoughts, thanks.
@KoffiBossoMath
4 ай бұрын
I agree.
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?
clear and precise explanations, thank you
@KoffiBossoMath
4 ай бұрын
I agree
Thank you for this video.
Great video ! helped me understand it finally thank you thank you so much....
Thanks alot for the wonderful explanation
Thank you so much!!! This helped me a lot
@MrB4math
2 жыл бұрын
Thanks for your thoughts. I'm glad it helped.
Thanks 😊 Your explanation helped me
Thanks this video is very helpful
Excellent presentation; thank you for sharing.
@KoffiBossoMath
4 ай бұрын
I agree
Great material!!-answered a lot of questions
@MrB4math
5 жыл бұрын
I'm glad it helped. Thanks for the comment, and the compliment.
@Hotase
4 жыл бұрын
i swear hes copy and pasting these replies now
Thank you for this fantastic math video.
@MrB4math
2 жыл бұрын
I appreciate the compliment, thanks
Thanks a lot this helped me a lot
Thank you very much indeed Sir, that's was first class of work.
@MrB4math
Жыл бұрын
You are quite welcome, and thanks for the kind words.
This will help me with calculus. Thank you.
@Hotase
4 жыл бұрын
how tho
Thanks needed this for my math honors class work
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
2 жыл бұрын
Way to go the extra mile. Thanks for the comment
@josi1224
4 ай бұрын
😅😂@@MrB4math
This is a very great job
@MrB4math
3 жыл бұрын
Thanks, I appreciate the word
Thank you very much,, for this video,,very informative
@MrB4math
3 жыл бұрын
Thanks, I'm glad it helped
Thank you so much 🙏
Thank you so much, you cleared my confusions
@MrB4math
Жыл бұрын
Excellent
Thank you so much Sir! ❤️
@MrB4math
2 жыл бұрын
You're welcome, and I'm glad it helped.
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
6 жыл бұрын
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
Жыл бұрын
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.
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.
Thanks helped alot!!
@MrB4math
3 жыл бұрын
I'm glad it helped.
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
5 жыл бұрын
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
5 жыл бұрын
now i understand, thank you !!
Good teaching ..
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
Жыл бұрын
I'm so glad the video helps. Wish your teacher was more helpful. I hope your persistence pays off.
Thanks sir ap ny buht acha samjhaya
Thankyou for teaching me what I never learned in school so I'm looking for to earned my GED sir😎😀😊
@MrB4math
Жыл бұрын
I wish you all the best in your efforts.
thank you so much
@MrB4math
3 жыл бұрын
You are welcome; I'm glad it helped.
Thanks for teaching me that.
@MrB4math
5 жыл бұрын
You are welcome, and thanks for the comment.
@Hotase
4 жыл бұрын
did ur teacher not?
im unsure as to why we move the 7 up and the 1 down to the denominator can u pls explain 13:02
@MrB4math
6 жыл бұрын
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
4 жыл бұрын
you could start withh getting rid of all those numbers in your username. you'll never remember that
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
6 жыл бұрын
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
5 жыл бұрын
You are an excellent teacher. THANK YOU,
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.
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
4 жыл бұрын
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.
your video is very helpful sir thank you
@MrB4math
5 жыл бұрын
You are so welcome, and thanks for the comment.
@Hotase
4 жыл бұрын
wow. he said so this time. you should be proud
Thanks😊😊😊
THANK YOU SIR...!!!
@MrB4math
Жыл бұрын
I'm glad it helped.
@KoffiBossoMath
4 ай бұрын
Well explained.
I Have Exam Tomorrow! Thankyou So Much!❤
This is fabulous!
@MrB4math
5 жыл бұрын
Thanks for your comment and compliment.
@Hotase
4 жыл бұрын
SOOOOOO FAB
if it is 32 power -y3 will it be 32/ycube
@MrB4math
2 жыл бұрын
If it's 32^-(y^3) it would be. It's harder to read and write without superscript, or mathematical notation.
Awesome
@Hotase
4 жыл бұрын
epic.
10:00 Why did the negative exponent went upwards?
@MrB4math
4 жыл бұрын
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
4 жыл бұрын
I'll try, MrB4math.com I don't know if KZread let's that become a link. Or perhaps MrB4math.com will work.
@Hotase
4 жыл бұрын
@@MrB4math why did the "go" turn into a "went"
thank you
@MrB4math
Жыл бұрын
I'm glad it helped.
Do you have videos about dividing polynomials?
@MrB4math
5 жыл бұрын
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. kzread.info/dash/bejne/hnmmspizZpC9fso.html I hope it helps. Mr B
@Hotase
4 жыл бұрын
what do you think
Thank you
@Hotase
4 жыл бұрын
your welcome
How did you make this video?
@MrB4math
5 жыл бұрын
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
5 жыл бұрын
@@MrB4math thank you for reply did you use a mobile phone? how did you fix on the desk, sir?
@MrB4math
5 жыл бұрын
@@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
4 жыл бұрын
with a camera
Whats your website? I loved this so much! Thank you!
@MrB4math
5 жыл бұрын
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
4 жыл бұрын
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
3 жыл бұрын
@@Hotase₩O₩!!! you seem like a crime detective (investigator) 👏👏👍
@Hotase
3 жыл бұрын
Elbethel Tigist bitch I literally am
@hellokitty-lw2mb
3 жыл бұрын
@@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.
I really wish i found this sooner😭
@red2802
3 жыл бұрын
Same 😭
Ok Excellent
tnx!! now ill go good for my class xd
@Hotase
4 жыл бұрын
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.
My exams is tomorrow and I can't understand what my math teacher teach us,this vid is so helpful
@MrB4math
4 жыл бұрын
Thanks for the comment and the compliment. I hope that your test goes well.
@Hotase
4 жыл бұрын
hes obviously not a good math teacher then
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
5 жыл бұрын
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.
👏👏👏👌👌👌👌
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.
Question 10 @ 30:31. You don’t multiply 2x2 ?
@MrB4math
3 жыл бұрын
When multiplying like bases you add exponents instead of multiplying bases. I hope this helps.
@trinitylancer
2 жыл бұрын
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.
Oh....great...
@KoffiBossoMath
4 ай бұрын
Yes.
Süper!
@KoffiBossoMath
4 ай бұрын
No doubt
Ah, hello adventurer! If ur one of my classmates that don`t want to read the module and chose youtube to learn instead.
Thank you I from in India jai hind.
good stuff, Too bad these videos wasn’t around 21 years ago!
@MrB4math
2 жыл бұрын
Thanks and I agree
I can't find your site
@MrB4math
4 жыл бұрын
MrB4math.com should get you there.
👍👍👍👍👍👍👍👍⭐️⭐️⭐️⭐️⭐️⭐️⭐️⭐️
@MrB4math
Жыл бұрын
🙂
28:56 how is that exponent 6 a negative? aren't you adding two negative numbers?
@MrB4math
6 ай бұрын
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
4 ай бұрын
He added and kept a negative sign. Well asked.
I ascended after watching this
@Hotase
4 жыл бұрын
ascended what. in math, english, not dumbness?
Thank you so much sir!! Really helped me!! Btw i'm a 7th grade student and our lesson are very advanced! 😬😬
@MrB4math
5 жыл бұрын
I agree, negative exponents in 7th grade. Good job.
@Hotase
4 жыл бұрын
ha. lol. im in 8th grade so im older than u
Is this GCSE or A-level maths
@Hotase
4 жыл бұрын
i think its, 8th grade
0 to the power of 0 is 1 and it's officially proved
@Hotase
4 жыл бұрын
know it all
12:43 THUMBNAIL
My brain cells are dying
@ytbtw5139
4 жыл бұрын
I feel u
@Hotase
4 жыл бұрын
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
4 жыл бұрын
@@ytbtw5139 i feel u 2
who else is doing their math school work aka COVID-19
What grade in math?
@KoffiBossoMath
4 ай бұрын
I think High School or equivalency
wow
@MrB4math
Жыл бұрын
Thanks
@KoffiBossoMath
4 ай бұрын
Amazing!
Its 8 pm and tommorrow is our Periodical Test and... I haven't reviewed anything. 🤣
@Hotase
4 жыл бұрын
thats all on u if you fail
16:22 most replayed
Confusing discalculia
A+ thank you
pinahirapan mo pa.. pwde nmn 3-5 haha
I'm dumb at math so I watch this😂
@Hotase
4 жыл бұрын
and at inglish
@Psfz2
4 жыл бұрын
@@Hotase bro youare the trash at inqlish not me👌🏻
You did a mistake for #9 (-30) should be in the bottom, then he will change his sing to +30.
@MrB4math
6 жыл бұрын
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
6 жыл бұрын
MrB4math so if I have a negative number I don't have to move it?
@MrB4math
6 жыл бұрын
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
6 жыл бұрын
Thank you very much, sir!
@MrB4math
6 жыл бұрын
Sulaiman Safi You are quite welcome.
What is this?
@Hotase
4 жыл бұрын
math
what u should slow down and explain this more
@MrB4math
6 жыл бұрын
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
5 жыл бұрын
j
@Hotase
4 жыл бұрын
why is there a what. and there is a thing called pausing the video
This must be played at 125% speed.
Why not just divide
@MrB4math
4 жыл бұрын
As stated, dividing is covered previously. This is to show meaning of negative exponent (take reciprocal), and zero exponent (result is always 1).
hahahaahaha ez
Yy
@Hotase
4 жыл бұрын
Zz