A method for subtracting powers of the same base. David's science and music channel: / drdaviddarling Juan's mathematics channel (Spanish): / juanmemol
Still didn't get it. +2^18 and -2^18 becomes opposite and then should be eliminated that gives 0 . And only 2^1 should be left. Can Anyone please explain how the answer is 2^18?
@@discovermaths I really appreciate your help ,but I still have a confusion. In parentheses (2-1) 2 came from 2^1 but how that 2^18 converted into 1 . I mean how did you take out common factor? Still I have q question that why 2^18 and -2^18 should not be eliminated? Can you refer me to any of your video that shows how to take out common factor of power with the same base?
@@hasandukanwala2046 2^18 is a common factor of both 2^19 and 2^18. It goes into 2^19 twice, because 2^19 = 2^18 times 2, and goes in 2^18 once, because 2^18 = 2^18 x 1..
@@discovermathsNow I got it. A bunch of thanks for this explanation. please accept my deepest gratitude. I would be so grateful if you refer me to any of your video that gives more explanation about addition subtraction of exponents with numerical base ,so that I can get more clarification and improve my math skill.
I notice a pattern in the case of 2^n -2n-1 the answer is 2^n or more specifically 2^n x 1 ( 1 is 1 less than 2) in the case of 3^n - 3^n-1, the answer is 3^n-1 x 2 in the case of 4^n- 4^n-1, the answer is 4^n-1 x 3 . so 4^4- 4^3 should = 64x3 or 192 . 4^4=256 and 4^3=64 256-64= 192 or 64x3 I am claiming that in the case of 5^n - 5^n-1 the answer is 5^n-1 x 4. So 5^6 - 5^5 should = 5^5 x 4 5^5+1 - 5^5 = 5^5 (5-1) =5^5 x 4 So it is true that 12^6 - 12^5 = 12^5 x 11? (notice 11 is one less than 12). and I just found it is? So my theory is P^n - P^n-1 = (P^n-1)(P-1) in which P and n are positive integers . so 100^2 - 100^1 should = 100^1 x 99 or 9900. let me check 100^2= 10,000 , 100^1=100 , and 10,000-100=9900
This only can happen if you are dividing the powers. For example, you have 2^5 - 2^4. 2^5 is 32 and 2^4 is 16, if you divide it you get 16 which is 2^4 and by your logic it would equal 2 because 2^1 is 2.
I say the answer = 2^18 why? because when I do 2^1- 2^0= 2-1= 1 or 2^0 or the subtrahend AND 2^2-2^1= 4-2=2 OR 2^1 or the subtrahend AND 2^3- 2^2 = 8-4 OR 2^2, or the subtrahend All three is just one apart (eg 2^2- 2^1) just like the problem (2^19-2^18 as 19 is just one less than 18)) and the answer is always the SUBSTRAHEND. So I see a PATTERN and will assume FOR NOW it is true for all. So the answer is 2^18
the answer is 3^2012 x 2 why? you will notice a pattern the subtrahend x 2 = always the answer so in the case 3^1-3^0 which =2 the subtrahend, 3^0, which =1 is just one-half the result which is '2'. Or you could do : 3^2012 +1 - 3^2012 or 3^2012 (3^1-1) = 3^2012 (2)
Ohhhh my god I search for like this topic I found a video with 135k view but it was click bait but your video is not click bait but I do not understand why your non clickbait video has less veiw than a Cickbait one? You should have over 30millions
The final answer is incorrect. The last step that says 2 to the 18th power times 1, that 1 has a power of 1. When you multiply numbers of power, you add the powers, therefore, the answer will not be 2 to the 18th power, it'll be 2 to the 18th power plus 1th power, which makes the answer 2 to the 19th power.
We only add the powers when the bases are the same. Here the bases are 18 and 1, which are different. So no addition will take place. So the answer is 2^18
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This helped a lot, thank you very much you're the best!!!
this is where i make lots of mistake but finally i think my probablity of doing mistake might be reduced after watching your video sir
Average Indian having to learn from a Britisher 😂😂
Thank you so much! This really helped me, I finally found a viedo that I understand😊
Thank you for sharing👍🏻👍🏻👍🏻
i like the background music. It sounds very cool and mysterious
Very clear explanation. Thanks for sharing………
Thank you sir. It helped me a lot
Very helpful. Thank you.
Still didn't get it. +2^18 and -2^18 becomes opposite and then should be eliminated that gives 0 . And only 2^1 should be left. Can Anyone please explain how the answer is 2^18?
2^19 = 2 x 2^18. So 2^19 - 2^18 = 2^18(2 - 1) = 2^18.
@@discovermaths I really appreciate your help ,but I still have a confusion. In parentheses (2-1) 2 came from 2^1 but how that 2^18 converted into 1 . I mean how did you take out common factor? Still I have q question that why 2^18 and -2^18 should not be eliminated? Can you refer me to any of your video that shows how to take out common factor of power with the same base?
@@hasandukanwala2046 2^18 is a common factor of both 2^19 and 2^18. It goes into 2^19 twice, because 2^19 = 2^18 times 2, and goes in 2^18 once, because 2^18 = 2^18 x 1..
@@discovermathsNow I got it. A bunch of thanks for this explanation. please accept my deepest gratitude. I would be so grateful if you refer me to any of your video that gives more explanation about addition subtraction of exponents with numerical base ,so that I can get more clarification and improve my math skill.
Much appreciated
Thank you sir
Thanks mr.
appriciate u , sir❤
helped me alot
thank you God bless you
Thank you
Thanks alot
thanks sir
Thanksss Sir
Can you do with different bases
Try 2^4 - 2^2 shows that the answer doesn't always comes out as a single exponent number, the answer for this is 12...
Yeah....
best vid ever
Why and how did u get that -1 for the •(2 - 1)??
common factor
Thankuuuuuuu
I answered right c:
Tnx
Eea mejor factorizar de forma directa por 2^18(2-1)
💯💯💯💯💯💯💯💯💯💯💯💯
I notice a pattern in the case of 2^n -2n-1 the answer is 2^n or more specifically 2^n x 1 ( 1 is 1 less than 2)
in the case of 3^n - 3^n-1, the answer is 3^n-1 x 2
in the case of 4^n- 4^n-1, the answer is 4^n-1 x 3 . so 4^4- 4^3 should = 64x3 or 192 . 4^4=256 and 4^3=64
256-64= 192 or 64x3
I am claiming that in the case of 5^n - 5^n-1 the answer is 5^n-1 x 4. So 5^6 - 5^5 should = 5^5 x 4
5^5+1 - 5^5 = 5^5 (5-1) =5^5 x 4
So it is true that 12^6 - 12^5 = 12^5 x 11? (notice 11 is one less than 12). and I just found it is?
So my theory is P^n - P^n-1 = (P^n-1)(P-1) in which P and n are positive integers .
so 100^2 - 100^1 should = 100^1 x 99 or 9900. let me check 100^2= 10,000 , 100^1=100 , and 10,000-100=9900
true
Oh god so many numbers
This doesn't make any sense to me wouldn't it just be 2^1?
This only can happen if you are dividing the powers. For example, you have 2^5 - 2^4. 2^5 is 32 and 2^4 is 16, if you divide it you get 16 which is 2^4 and by your logic it would equal 2 because 2^1 is 2.
😳😍
why does it feel like I'm on being being illusionated???
I say the answer = 2^18 why?
because when I do 2^1- 2^0= 2-1= 1 or 2^0 or the subtrahend AND 2^2-2^1= 4-2=2 OR 2^1 or the subtrahend AND 2^3- 2^2 = 8-4 OR 2^2, or the subtrahend All three is just one apart (eg 2^2- 2^1) just like the problem (2^19-2^18
as 19 is just one less than 18)) and the answer is always the SUBSTRAHEND. So I see a PATTERN and will assume FOR NOW it is true for all. So the answer is 2^18
If it is 10^15 - 10^16, would the answer be 10^15? just having lil trust issues with my own works hehe
No,winklet
Answer will be this -->: (10^15) * (-9).
I hope this may help you .
@@srkhan9566 oh thank you. this truly helps :D
How did he get 2-1?
Because 2to the 18 will multiply to 2 and 1 and by multiplying with 1 it reapeat
I still don't get it
Take 2^18 comman and pull it out
So, for example, if my problem was 3^2013 - 3^2012, would the answer be = (2) 3^2012? Pls and thanks
Yes, correct.
the answer is 3^2012 x 2 why? you will notice a pattern the subtrahend x 2 = always the answer so in the case 3^1-3^0 which =2 the subtrahend, 3^0, which =1 is just one-half the result which is '2'. Or you could do : 3^2012 +1 - 3^2012 or 3^2012 (3^1-1) = 3^2012 (2)
Ohhhh my god I search for like this topic I found a video with 135k view but it was click bait but your video is not click bait but I do not understand why your non clickbait video has less veiw than a Cickbait one? You should have over 30millions
2^18ans
Steven Hawking is still alive
Lo hiceeeee
Americans making smaller things hectic
Why the -1?
2^18=2^18*1
@@discovermaths Thank you!
Why does this gotta be so overly complicated
Bruh , literally said what came to mind💔💔
The final answer is incorrect. The last step that says 2 to the 18th power times 1, that 1 has a power of 1. When you multiply numbers of power, you add the powers, therefore, the answer will not be 2 to the 18th power, it'll be 2 to the 18th power plus 1th power, which makes the answer 2 to the 19th power.
We only add the powers when the bases are the same. Here the bases are 18 and 1, which are different. So no addition will take place. So the answer is 2^18
2^19 is just 2^18+2^18 so 2^18+2^18-2^18=2^18 you dont even have to know the method to figure that out
imbento kayo wala akong naintindihan!!!
thank you sir