✅ 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.
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 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
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 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.
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
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?
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!!!!
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.
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.
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!
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.
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.
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.
@@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.
😭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
