Dividing Exponents with Different Powers AND Bases | Eat Pi
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- เผยแพร่เมื่อ 22 ส.ค. 2024
- In this video, I teach you how to divide exponents that have different bases AND different exponents (powers).
There are a couple playlists attached at the end of the video if you need help with any other topics.
If you have any questions, please leave them in the comment section below! Also, if you find the videos helpful, please like, share, and subscribe!
Thanks alot you explained it perfectly. Studying for placement as a 30 year old and Khan academy didn't explain this part that well.
That's awesome that you're studying for your placement test!
And I'm glad it helped. If u have any questions on any other topics I'll be happy to help you out 👍
@@Eat_Pi What if the exponents and base doesn’t match up when you simplify
@@Eat_Pi This link is not working
@Sachin_3006_A sorry I linked back the same video. But this video already explains how to do that, but please let me know if there's a specific problem you need help with 👍
This guy is a genius im having a test tomorrow and now im understanding your a goat
Goat lol
I missed a day of school and didn't have the courage to ask my teacher how to do this, thank you so much for this video!! 🙏❤❤
I felt so lost when I'd just miss 1 day so I totally get what you're saying! But youre welcome, I'm glad the video was helpful! 😄
Thanks man, I am in quantitative reasoning right now and have forgotten a lot of basic math. I've gone through so many channels trying to find something that works for me and yours makes the most sense so far.
I'm really happy I could help!
Im currently covering geometry but plan on covering a lot of classes I took thru college so if you need help on any other topics just let me know and I'll do my best to help you out 👍
This was an amazing video!!! Your pace of breaking down everything allowed me to keep up and understand the process. Truly appreciate you ♥️
That's great to hear! I always try to explain every problem step-by-step so I'm glad you found it helpful! 😁
Wow , you really explain better than my teachers
Lmao thanks I appreciate that! 😂
I actually love you, i have an exam tomorrow and i didn’t know how to divide and multiplicate different powers and bases but now i do thank u so much❤
I'm really glad I could help and I love u too The siege zone 😄 lmao
Thanks my periodic test is from 30 July 2022 you have prepared my chapter of exponents I only want to understand division thanks a lot love from India 🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳.
I'm glad I could help and good luck on your test! Go crush it you friggin genius! :D
An excellent and succinct demonstration ! Thanks for sharing …….
You're welcome, so glad you found it helpful 🙏
thanks I somehow forgot that rules only work with same bases nice video
Yeah exponents can be a pain in the butt because of the specific rules. I'm glad I could help though!
Oh my god thank you soooooo much i Liked the video i've been having so much troblue with this, my favorite math channel
Wow that means a lot, thank you! 🙏
And please let me know if you need any more help :D
Thankyou sir for explaining this in a simple and easy way
You're welcome, I'm glad it made sense! 😃
Thanks 🇮🇳
You're welcome!
Hey thanks for helping me you’re amazing
So happy I could help you friggin genius :D
Any one watching for your maths exam
All the best
Why I replied
Thank you so much sir love from india😻❤️
You're welcome! I'm so happy I can help someone on the other side of the world! :D
❤️
Thank you I was struggling with this 🙏
That's amazing to hear, and you're welcome :D
Thanks so much... I really like the the video
You're welcome! :D
Dividing the index 4 raised to the power 4 divided by 3 raised to the power 2
You can break up the exponent on 4⁴ as (4²)² like I did in the last example. So then we have:
(4²)²/3² =
(16)²/3² =
(16/3)²
hello thank you for the great explanation, can you simplify 54squared/6cubed
Hi thank you for the question! I made video with your problem explaining how to solve it, here's a link: th-cam.com/video/jLhjCEop4kI/w-d-xo.html
Great explanation! But I do have to point to a mistake at 5:36. The denominator should be (5^3)^2 and so final answer is actually 1. Please correct it. Thanks.
Hello, I'm not sure where you see the mistake exactly. You can try plugging in the original question into your calculator 25³/125 and you'll see the answer you get is 125, not 1. So I know I got the correct answer.
The denominator is 125 which is equal to 5³. That is why I changed the denominator to 5³ 👍
I'm not sure where you're getting (5³)^2 though.
Yes,@@Eat_Pi , sorry my bad. It looked like 125^2 on my small phone.
@@VarunVenkateswaran-rm6vj
No worries! I'm glad we could clarify that 👍
Thank you so much sir
It helped a lot
You're very welcome! :D
Hey! Could you help me with this equation? 7k²/4k³ (it just needs to be simplified, not oversimplified!!) TYSM IF YOU CAN
Yeah no problem! I figured it'd be easier to just make a video to explain, so here's a link: th-cam.com/video/qmfUdM8Fsm4/w-d-xo.html
Thanks sir ❤❤
You're very welcome! 😃
What program are you using?
smoothdraw 👍
Thank you sir is this algebra 2 or precalc
You're welcome! And I believe this is sometimes introduced as early as Pre-Algebra, but you'd most likely see it by Algebra 1 👍
How am I supposed to answer (3^10/2^16) x (5^-8/2^12)
I like this
I'm glad to hear that! Always happy to help 👍
Thanks, it become even more complicated because of squared with a squared.
You're going to start seeing a lot of crazy combinations with exponents. I'm glad I could help though!
nice video ,thanks
Glad you liked it, and you're welcome :D
Is there a way to calculate these numbers with the same base or do i just have to know them , what if theyre more complex then that im awfull at math so a way to calculate that would be really helpfull to me
Hi I think I can help 😄
Here's a link to how to divide exponents with the Same base:
th-cam.com/video/Sr7XVBmgvpk/w-d-xo.html
And here's an exponent playlist:
th-cam.com/play/PLDjbtPQgeD_-QAI-LpbHjpBfPDMxyr5Is.html
Let me know if you still have any questions and I'll be happy to help 👍
@@Eat_Pi Yeah sorry i didint explain myself well ill try again im not a native English speaker , what i meant is how to get for example 3 squared from 9 , going off ur first example in this video from 9 u get three squared do i just have to know that by heart , do i need to learn the mutliplication table again , or maybe theres a way of calculating it , what if the numbers are really big what do i do then i feel embarassed asking this question but hey its the internet im annonymous
@@DisturbeD802 Don't feel embarrassed, math is very challenging! And first of all, yes you should be comfortable with your multiplication tables, it'll make exponents A LOT easier to understand. After that an introduction to exponents will help. Here's a link:
th-cam.com/video/THJCqhgz9CY/w-d-xo.html
(You can skip over the negative exponent stuff in this video for now if you want)
And lastly you should know your Perfect Squares because that's what how I was able to easily covert them in the video. Here's a link:
th-cam.com/video/BSRuT3jTqLk/w-d-xo.html
Let me know if you still have questions 👍
@@Eat_Pi Thank u very much very kind ^^
👍
Thank u so much ☺️
No problem 😊
"mathamagical" my new favorite word
Next time your teacher tells you to explain your answer, feel free to tell them it works because of "mathamagic" 🪄
11:05 5^2 should be 10 right
Hi there! 5^2 is the same thing as 5•5 which is 25 👍
What about if they have variables
Good question! That would be similar to dividing algebraic expressions. Here's a link to that topic: th-cam.com/video/L76q9liJbFs/w-d-xo.htmlsi=lorF3Q-rzFz9oIv2
Let me know if you still have any questions 👍
what if the bass and exponets are different and can't be turned into the same bass and exponet?
Hmmm... what's the exact problem?
I have 7^7 sweets and I want to distribute them equal-
ly among 2^4 students. After each of the student got eually how mani i am left with
# of sweets per # of students
= # of sweets/# of students
= (7^7 sweets) / (2^4 students)
= 823,543 / 16 = 51,471.4375
Each student gets 51,471.4375 sweets. Assuming you can only give out sweets in whole pieces, then we have to round the answer down to the nearest whole number, which is 51,471.
So each student gets 51,471 sweets. How many total pieces is that now?
16 students x 51,471 sweets = 823,536. But remember, we started with 823,543.
823,543 - 823,536 = 7
So you would be left over with 7 pieces.
Hope that helps! 👍
Hey can you help me? How can you rewrite with a exponent this : 2^(x+1)-2^x
I'd love to! But did you forget an = sign in your problem? Or is that it?
@@Eat_Pi I don't know but i figured it out: It's: 2^x*2-2^x = 2^x(2-1) = 2^x
I understand that it's hard to read it because youtube don't provide special signs
@@krstev29 yeah I wish YT would allow you to post pictures in the comments, it'd be easier that way lol
but I'm glad you figured it out! 😃
@@Eat_Pi Yeah but people are dumb here so they would post dumb photos and what not, they should just add more signs to communicate
@@krstev29 lmao I'm sure there'd be a mix 😂
for the first example its 9 so there is 3 what if we get a number without a dividable number or smgt
Good question, it really depends on what the rest of the numbers and exponents are. If you tell me the problem I could show you how to solve it 👍
Can you help with this equation?
8 20
-
4 30
Hi, I just wanted to make sure I understood your question. Is it:
8²⁰/4³⁰?
@@Eat_Piyes
I’m so confused!!!! How did he get 3 squares out of 9??? 🤦🏽♀️ I’m never going to pass my ged.
Great question! For these types of problems u want to either match the bases or the exponents. For the first problem 9⁴÷3⁶ I tried matching the bases since 3 fits into 9 evenly. So in order to do that, I can rewrite 9 as 3², because 9=3². If I do that, the Numerator and Denominator will have same base now (which is 3).
I hope that clears it up but let me know if u still have any questions 👍
It's a 8a3/2a2
Solve the numbers and exponents separately if that helps:
Numbers: 8/2 = 4
Exponents: a³/a² = a¹ = a
So together it's 4a 👍
Cant understant anythinh
Here's an exponent playlist with easier examples you can start with and then work your way up to this topic (if you'd like to check it out):
th-cam.com/play/PLDjbtPQgeD_-QAI-LpbHjpBfPDMxyr5Is.html
This did not help at all
I'm sorry to hear that, is there a specific problem you're stuck on?