✅ 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.
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
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
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
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.
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😊
@@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
Thank you for the very good review. I am 63, and I believe reviewing math is a very good mind and emotional quality for quick thinking and keeping confusion abreast.
Thank you so much! Ive been stressing about school, im a year 6 and everyone thinks i know everything so its quite hard. I always get embarrassed and emotional if i get a question wrong-or right
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!!!!
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.
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?
Thank you for this! My teacher doesn't really teach us and i was really scared cayee on monday i have to take the benchmark staar test and ive never failed before ive always gotten masters
thanks bro now i was a bit confused even as a top student with best grades in class now im not confused im year 8 doing Gsce stuff thanks i understand basic concept
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!
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.
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.
Hi MR J, I am from India and planning to make my own videos, and I really really like your animated videos, I know its stupid to ask, but how to you create such videos?
😭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
I've been told -5² is 25 because just like the (-5)² equation, we're multiplying -5 by -5 because the negative is attached to the base. Now I'm confused on which it is.
✅ 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
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
*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!!!!
I plan on watching this before school starts in order to be ahead. Thanks for making these videos!
same
Same
yeah me too
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
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
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, 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
Thank you for the very good review. I am 63, and I believe reviewing math is a very good mind and emotional quality for quick thinking and keeping confusion abreast.
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!
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
Wtf
Mr J your videos are very educative and interesting to watch keep up the great work
thanks man you teach better than everyone ever could
i’m trying to get into accelerated math today, this was very helpful!
thank you sir for a clear discussion about exponent with negative bases 🙏
I fell some Problem to solve it but afterwatch this video I have not fell any problem.
Thank you so much love form Bangladesh 🇧🇩♥🇯🇴
Thank you so much! Ive been stressing about school, im a year 6 and everyone thinks i know everything so its quite hard. I always get embarrassed and emotional if i get a question wrong-or right
explained all the things in under 2 hrs really helpful
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!!!!
Thanks! I’m watching this 1 Hour before my ISEE’s ❤
I was at the bottom in my class but when I started listening mr J now I am at the top❤❤❤❤❤❤❤😊😊😊😊
this man is a life saver!
Thank God, you saved me with my homework.😀
Thank you SO MUCH Mr J It helped me out SOOOO MUCH I have an exam tomorrow and I am SO GRATEFUL THANK YOU
I am struggling with these in my math class because my teacher is spitting out hieroglyphics. Thank you!!
I’m learning that later this year and I’m excited 😆
Honestly this channel makes math a whole lot easier
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!
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~~😊
THANKS! 😊
You saved me thank you sooooo much!!!!!!!!❤❤❤❤❤
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.
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 🙏🏽
Thank you so much mr J you made math look easy!
Thanks for good teaching.🙏
Help I’m doing hw rn tysm u are a better teacher than my teacher😂😂😂
Thank you Mr. J
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❤
I now understand thank you until next time peace ✌️
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.
Thanks for the help man
thanks so much i didn't understand 10 minutes ago but know i could easily do one of these
Thank you for this! My teacher doesn't really teach us and i was really scared cayee on monday i have to take the benchmark staar test and ive never failed before ive always gotten masters
Mr. J is a true life saver T-T
thanks bro now i was a bit confused even as a top student with best grades in class now im not confused im year 8 doing Gsce stuff thanks i understand basic concept
thank you so much
I enjoyed your teaching
Much appreciated.
As a 9th grader studying for her asvab I loved this
Mr. a real one 🙏
Thanks for the help
Thank you for this video ❤❤❤
SO HELPFULLL!!
Shout out to Mr.J for saving my life
Thanks for clarifying this issue, I had a different way that was apparently wrong. Not no more! Peace
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
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!
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.
thank you this is help so much thank you mister and keep sharing more vidio😻😻😻😻
Thank-you so much 😢❤
Thank you so much I really need because I am bad at math 😅
Tysm. I watched other videos about this but it just wasn’t making sense. I think I’ve got it now!
You are such a life saver!
Can you please do a video on polynomials and the distributive property?
studing for exams with this
7th grade
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.
@@benji_6 barely passed bud i did it
Thank god I got I literally have a test tomorrow
thank you mr. J
I am a fourth grader and I learn quadratic functions and linear functions and I also want to learn more stuff so I watched this video
I love you man this helps me so much
I love this guy he teaches you like my dad
I have a test this Thursday and bro I’m gonna fail so bad that’s why I’m watching this vids 😭😭
u go to newark middle school? cuz i do
@ yeah I do go
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 💀
tanks so much best teachers
really helpful video
Bro I was not gonna get through 8th grade thanks❤
THANK YOU SIR
Merchandise is good idea for Christmas 🤶
Hi MR J, I am from India and planning to make my own videos, and I really really like your animated videos, I know its stupid to ask, but how to you create such videos?
Hello I watched u last year for my Christmas exam and I might this year as well!
Liar 🤥
BRO TYSM I NEEDED THISS OMGGG IM GONNA ACE THIS CLASS
tysm this help me alot
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
I've been watching this since grade 3 now I'm in grade 6 this is the reason I survived grade 5 and 4
Excellent ..
Thank you for helping me, I got a hundred on my test! ♥♥♥💝💝👍👍👍👍👍👍👍
Liar
😭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
Your
Are the best
so cool!
What would be the explanation to keeping negative sign in below multiplication when base is the same but one has negative sign:
(-2)^3 * 2*15 = -2^18
Bro thank you Very much 👏
YOU HAVE MY INCREDIBLE THANK GOR MAKING MY GRADE 103/105 HEHE
And you explain better than my grade 7 teacher. Thanks alot
Thanks so much now i actually understand cause when my teacher explains it to me it's like shes talking gibberish🤣
The only reason I don’t have to study for math tests is because of all his videos
(-a)^b=a^b
b is even
(-a)^b=-(a^b)
b is odd
-a^b=-(a^b)
I've been told -5² is 25 because just like the (-5)² equation, we're multiplying -5 by -5 because the negative is attached to the base. Now I'm confused on which it is.
thank you bro
Thank you sir