Exponents with Negative Bases | Math with Mr. J
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- เผยแพร่เมื่อ 22 ส.ค. 2024
- Welcome to Exponents with Negative Bases with Mr. J! Need help with exponents (aka - powers)? You're in the right place!
Whether you're just starting out, or need a quick refresher, this is the video for you if you're looking for help with negative numbers and exponents. Mr. J will go through exponents with negative base examples and explain the steps of how to evaluate exponents with negative bases.
Other Exponent Videos:
✅ What is an Exponent?: • What is an Exponent? |...
✅ Multiplying Exponents with the Same Base: • Multiplying Exponents ...
✅ Multiplying Exponents with Different Bases and the Same Exponent: • Multiplying Exponents ...
✅ Dividing Exponents with the Same Base: • Dividing Exponents wit...
✅ Power of a Power: • Power of a Power | Exp...
✅ Exponents with a Negative Base: • Exponents with Negativ...
✅ Negative Exponents: • Negative Exponents | H...
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Hopefully this video is what you're looking for when it comes to exponents with negative bases.
Have a great rest of your day and thanks again for watching!
✅ Thanks so much for watching! I appreciate you ✌️✌️✌️
✅ Just a quick thought on #3, or any exponent for that matter... You can pair off (-3)’s. This is another way to get to the solution. Do (-3) times (-3) = 9 and then the other (-3) times (-3) = 9 as well. You can then do 9 times 9 which equals 81. In other words, you do not have to multiply one (-3) by (-3) at a time. You can pair numbers off as you evaluate an exponent and then multiply the products.
✅ Remember, when working with negative bases with parentheses, an EVEN exponent will result in a positive solution. An ODD exponent will result in a negative solution. Something to keep in mind.
Mr J whats your face looks like?
Mr. J can you do slopes and dilation?
L
Thank u soo much
The reason why im watching this is to get ready for 8th since my 7th grade year is over 😅
Bro if You see this comment i'm with You
Bro if You see this comment i'm with You
Samee
SAMe bc I’m going to be
Dumb in 8th grade
Same
*TELL ME WHY THIS AMAZING MAN AND VIDEOS IS WHY I SURVIVED THE 5TH GRADE AS ONE OF THE BEST STUDENTS*
They gave you this crap in 5th?
@@jstarndomchannel9590 yup T-T
@@starlara7243 I haven't got that stuff and I'm in 6th
Bruh I’m watching this in grade 10
@@theopolychronis2044 10th?!?? I’m doing this in 7th!!!!
Thank you so much man, honestly, I thought I knew exponents, but my teacher who doesn't know how to teach in our style school system, explained nothing of this. But you? You literally nailed all questions I had in one video. Now that I've watched this, I think I've got it. It's starting to make sense and I'm so glad to have people like you who can explain so *greatly* for people like me
do you go to a montosorri?
You taught me way better than my tutor 😭before I’ve never really focused on math since I didn’t care for it but now I’m genuinely realizing my future is done for if I don’t learn ahead
Stressing out for last minute HSTP and forgot some basics lol
I plan on watching this before school starts in order to be ahead. Thanks for making these videos!
same
Same
yeah me too
Same
the pandemic screwed me over, due to feeling trapped my mental health declined and i went back to school late. grades failing i learned nothing during my time at home, i didnt know this would affect everything and now im in 8th grade having to do 8th grade math while looking up videos and teaching myself how to do math from 6th grade to 7th, your videos have helped me learn from the beggining, im taking responsibility and doing it myself as soon when highschool begins i know for certain ill be behind. Thank you very much.
im in 9th and idk how to do any of it and i didnt learn anything from 8th grade math
Same..
I dont care
@@sopa3124ME TOO OMGGG 😭😭 I FEEL LIKE DYING ACTALLY. :(
@@fifaking4338 you are mad
Thank you so much for this wonderful video i am living in a non english speaking country im about to switch to a english speaking school education system is not properly designed
In where i live and i simply want to thank you from the bottom of my heart for making students lives all around the worlds lives easier
Thank you sm! My school sucks and every math teacher i’ve had this year hasn’t taught me a thing! You’ve taught me more than they have in one video
Basically, if the base is negative and the exponent is even, you'll get a positive answer. If the exponent is odd, you'll get a negative answer? Am I right?
Yep! You are right!👍🏽 ✅
Just remember that this only works if we have those brackets around the number.
Thank you, Mr J! I am a 34 year old going back to college and this is helping me so much in my Math 970 class right now, to refresh all of these things I have forgotten😊
Can we go to college as 34 year old?!
Yeah… there isn’t a age limit to go to college…..10 year olds have been accepted into college….
no hate but isnt this for grade 8?
@@movelookHill lots of adults dont need to use this kinda math nowadays , since we have calculators; people usually forget info they dont practice and use (kinda hard to forget exponents though, im not sure how this person could forget, unless they didnt do well in middle school and high school, OR they have a learning disability/ and or memory problems)
@@_Choco_A lot of life happens between 8th grade and 34 years of age. It is very easy to forget things learned in childhood when you have adult challenges to deal with everyday
MR.J YOU LITERALLY SAVE MY LIFE TY
same 👀
same here as well
The way you speak is so important. It is easy to follow and everything has the right timing ! Great job :) Keep on making videos
Thank you!
I fell some Problem to solve it but afterwatch this video I have not fell any problem.
Thank you so much love form Bangladesh 🇧🇩♥🇯🇴
Why do people get this wrong all the time?
Look at it this way.
In this case, it is literally the value of -5 squared, thus positive 25.
Lots of people, including this video, get this wrong by saying -5 = -1*5, thus -1*5^2 is -25.
(Even some calculators!)
However, when you factor a square you must square ALL the factors, thus (-1*5)^2 = -1^2 * 5^2 = 1*25 = positive 25.
You could also do this using the binomial square formula, (a+b)^2 = a^2 + 2ab + b^2.
Pick any two numbers that equal -5.
Lets say positive 10 and negative 15.
10+(-15) = -5.
a = 10, b = -15
10^2 + 2(10)(-15) + (-15)^2
100+(-300)+225
-200+225 = positive 25.
-5^2 is positive 25.
This will be positive 25 for any two number you choose as long as it equals -5.
so we’re all here to get ready for 8th grade cause of that 8th grade math playlist 😭
Same😂
i’m trying to get into accelerated math today, this was very helpful!
I’m learning that later this year and I’m excited 😆
Much appreciated.
Thank God, you saved me with my homework.😀
Thanks! I’m watching this 1 Hour before my ISEE’s ❤
thanks so much i didn't understand 10 minutes ago but know i could easily do one of these
I'm going to watch every video I possibly can to catch up with my friends! I want to show my teachers even though I was mean to them, I care and I was just really stressed and in a bad place last year. I'm going back to school and first thing I'll do is apologize and show them my hard work! >:D THANK YOU SO MUCH FOR MAKING THESE!!!!! So many people in the comments piecing their school lives together by using your videos as study materials!!!!
I managed to skip all thre way from 6th grade to 7th grade because all night and day I watched this man’s videos Ty 🙏🏽
I now understand thank you until next time peace ✌️
Thanks a lot Mr j this helped me a lot. I'm in grade 8 so I'm graduating and one of my goals are to get honour role because last year I didn't study alot so my grades were horrible so, this year I'm aiming for better grades thanks a lot.
This helps so much with eighth grade Unschooling since I have no stuff to reference
Thanks for the help man
Honestly this channel makes math a whole lot easier
Wah,Thank you so much back then i confuse this! i now thought its good to watch tutorials!
Watching this to be ahead to our lessons~~😊
THank you Mr.J I was learning Thais in class today and I didn’t understand that much I’m so happy u post everyday now!
Thank you so much MrJ, im a 8 grade student in china and your video really helped me one my math exams! Thank you so muchhhhh OMG
THANKS! 😊
im going into 8th grade i wanted to make sure it was easy and yes the math is ez idk why im freaking out tysm ur amazing❤
You’re the best blud you teached me better than what my teachers could do in my whole elementary
A number with parenthesis and without parenthesis DIFFERENCE:
Example, we assign x as 5:
(-5)² = (-5)•(-5) = 25
Raising a negative base that is inside the parenthesis causing to have the result positive because -(-x) equals x.
-5² = -25
Raising a negative base without the parenthesis only affects the number but not the integer so it remains the same integer.
I hope this helps!
Thank you SO MUCH Mr J It helped me out SOOOO MUCH I have an exam tomorrow and I am SO GRATEFUL THANK YOU
The only reason I don’t have to study for math tests is because of all his videos
You saved me thank you sooooo much!!!!!!!!❤❤❤❤❤
School = business
Degree = business
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Above 150 million $
how do you solve questions like
(-4) it js makes no sense
explained all the things in under 2 hrs really helpful
Thank you Mr. J
Mr. a real one 🙏
Thanks for the help
Thanks for clarifying this issue, I had a different way that was apparently wrong. Not no more! Peace
Thank you so much mr J you made math look easy!
What about negative base number with decimal exponents?
Something like -2^1.5
How will it work? Is it going to be a positive or negative answer?
Imaginary answer. You write -2 as 2 × i^2 but after that I'm also lost.
Actually now that I look at it its stupid easy
(-2)^1.5 = (2*i^2)^1.5 = 2^1.5 * i^(2*1.5) = 2 ^ (3/2) * i^3 = square_root(2^3) * i^2 * i = -2 *square_root(2) * i
Or you could go like this
(-2)^1.5= 2^1.5 * (-1)^1.5 = 2*square_root(2) * (-1)*square_root(-1) =2*square_root(2) * (-1)*i = -2i*square_root(2)
I don't know how i didn't see this in the beginning.
@@FuckingHostile496 my brain has malfunctioned looking at all those numbers😵
@@sofiacespedes2156 Same
BIG B 💀
I can't help but feel like these should be the other way around.
It makes much more sense to say that -5^2 could be interpreted as -5*-5 by default, and that if you wanted the other way, THEN you'd specify the difference with -(5^2) or -1(5^2).
I don't know if ANYBODY would intuitively look at -5^2 and say "-25".
It doesn't even have anything to do with PEMDAS. The only multiplication happening is the multiplication of the -5 with itself.
Love the thought behind this! Thank you for sharing. I actually agree, intuitively, you would think that -5^2 would mean -5 * -5.
@@MathwithMrJ - take the function y = -x² and I fully expect that to be a parabola pointing down, under the axis, and not above it. So, it seems fully intuitive to me.
I am so happy with this video
I love you man this helps me so much
Im taking a placement test today to see if I can skip 7th. This was very very helpful! Thank you so much!
How did it go? Hopefully well.
@@Inplasmical barely passed bud i did it
I've been watching this since grade 3 now I'm in grade 6 this is the reason I survived grade 5 and 4
THANK YOU SIR
thank you this is help so much thank you mister and keep sharing more vidio😻😻😻😻
Thank-you so much 😢❤
Can you please do a video on polynomials and the distributive property?
Tysm. I watched other videos about this but it just wasn’t making sense. I think I’ve got it now!
studing for exams with this
7th grade
tanks so much best teachers
Mr. J is a true life saver T-T
Am I supposed to be watching this? I’m nine and I still understand it
Excellent ..
YOU HAVE MY INCREDIBLE THANK GOR MAKING MY GRADE 103/105 HEHE
And you explain better than my grade 7 teacher. Thanks alot
really helpful video
tysm this help me alot
As a 37 year old aerospace technician I've never used this
thank you so much
I enjoyed your teaching
im in year 6 and i havent learnt about this but i leatnt in today ty ima sub on bots and watch ur vids daily to get more nerdier
Same bro
(-a)^b=a^b
b is even
(-a)^b=-(a^b)
b is odd
-a^b=-(a^b)
thanks alot
Thank you so much you save my life from getting a F
thank you mr. J
I love this guy he teaches you like my dad
am i supposed to be watching this? i am 4th grade
GOT DANG? 😰
(yes you can and should watch this to get ahead)
Thank god I got I literally have a test tomorrow
Teacher explaining negatives: me 😭💀🧐wtf
Mr j explaining the exact same thing:me; 😮👌🏼💅🏻ohh got it
BRO IS THE REASON I SURVIVED 5TH GRADE THIS GUY NEEDS A BILLION DOLLAR NETWORTH✌️✌️✌️✌️✌️✌️
Imagine 5th grade was some of the easiest math 5th and 6th
@@brittanykegebein2912 you don’t gotta be a stuck up about it 💀💀💀💀💀
Thank you for this video ❤❤❤
😭omgggg thank youuu, is not that I don’t like math is more like my 8th grade teacher dosent know how to teach and im trying to study before exams bc im really trying to passsss
Thanks so much now i actually understand cause when my teacher explains it to me it's like shes talking gibberish🤣
Your
Are the best
You are such a life saver!
Thank you so much I really need because I am bad at math 😅
I am an 8th grade child living in Turkey and I am very confused right now because these questions are really easy. I cant believe...
Merchandise is good idea for Christmas 🤶
thank yuu
OMG TY
in my country algebra starts from year 2 so its easy for us
BRO TYSM I NEEDED THISS OMGGG IM GONNA ACE THIS CLASS
Thank you I’m in fourth grade and I wanna be just a bit smart.
thank you bro
Tq
Thank you sir
Hello I watched u last year for my Christmas exam and I might this year as well!
Liar 🤥
Bro thank you Very much 👏
8th GRADE MATH,I LEARNING AHEAD
isn't this 6th grade math though? i remember learning 6th grade math in 5th grade and negative base exponents were in it
What happened to your old avatar n the thumbnail??? I used to watch you all the time when I was in 6th grade! thanks for all the help:).
Can you pls tell me which grade you learn this in