How to Find The Last 2 Digits of A Large Number Written in Exponent Form

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  • เผยแพร่เมื่อ 3 ธ.ค. 2024

ความคิดเห็น • 32

  • @l1mmg0t
    @l1mmg0t ปีที่แล้ว +4

    i like your video. explained in a very simple and clear way

  • @osenisaheedakinsola7428
    @osenisaheedakinsola7428 3 ปีที่แล้ว +3

    Well done... I have really learnt alot from your videos. However, in this video you got 63 as the last two digits of 47³ whereas it should be 23

    • @PrimeNewtons
      @PrimeNewtons  3 ปีที่แล้ว +3

      You are correct. Thank you for the observation. I hope others can help out like this in other videos. I will leave a note in the video description. I appreciate your keen attention.

  • @ItsVarunContractor
    @ItsVarunContractor 4 หลายเดือนก่อน

    thank you sir for this explanation. Very helpful.

  • @atomic_salt
    @atomic_salt 9 หลายเดือนก่อน +2

    last two digits of 247^223 should be 23, no? 47^3 mod 100 is congruent to 23.

  • @Eraqon
    @Eraqon ปีที่แล้ว

    Great video. Thank you!

  • @nabeeladriansyah4817
    @nabeeladriansyah4817 8 หลายเดือนก่อน

    This really helps. Thanks

  • @infinitereviver
    @infinitereviver ปีที่แล้ว

    Thank you sooo much!

  • @Dice-w7u
    @Dice-w7u 4 หลายเดือนก่อน

    Hi sir, why do we multiply by the last digit? for example in the video you only multiplied it by the 2 at the 2nd of the 132

  • @linaelmousslih835
    @linaelmousslih835 6 หลายเดือนก่อน

    what about 1234^5678 using exponent rules

  • @johnernestsantos3625
    @johnernestsantos3625 2 ปีที่แล้ว

    This really helps! For 1234ˆ432, shouldn't the answer be 36? ((17ˆ4)ˆ108) should have been simplified to (21)ˆ27 since 108 should be divided by 4? It will then give you 41. So it should be 24x4x41 = (....36).

    • @PrimeNewtons
      @PrimeNewtons  2 ปีที่แล้ว +2

      That was no error. I just ran it on my computer, and the last two digits are 56.

    • @michalkrsik2702
      @michalkrsik2702 2 ปีที่แล้ว +1

      @@PrimeNewtons But when I run it on wolfram, the last two digis should in fact be 56.

    • @mohamedrafeeque4463
      @mohamedrafeeque4463 ปีที่แล้ว +1

      ​​@@PrimeNewtons is that an error really? Because 17^4=21 and if it should be raised to power of 4. You'll get (21^4)^27 . It will give the answer as again as 81^27=61 so 56 is the answer.
      Please explain sir.

    • @PrimeNewtons
      @PrimeNewtons  ปีที่แล้ว

      You're correct. There was no error. Thank you

    • @PrimeNewtons
      @PrimeNewtons  ปีที่แล้ว

      Correct

  • @robertveith6383
    @robertveith6383 5 หลายเดือนก่อน

    *@ Prime Newtons* -- As with another comment in another video of yours, please *stop* using the implication symbol. The equals symbols needs to be used instead.

  • @Alexander-oz9rz
    @Alexander-oz9rz 2 ปีที่แล้ว +1

    How about last 3 or 4 digits?

    • @PrimeNewtons
      @PrimeNewtons  2 ปีที่แล้ว +2

      I don't know how to do that

  • @Aminraghibfans774
    @Aminraghibfans774 2 ปีที่แล้ว

    Well done, but the rule of number 5 doesn't always work successful, because if you calucl 5^26 you'll get 96 as they are last digits and not 25 as you said...
    Can you explain why?

    • @PrimeNewtons
      @PrimeNewtons  2 ปีที่แล้ว +1

      5^26=1,490,116,119,384,765,625

    • @Aminraghibfans774
      @Aminraghibfans774 2 ปีที่แล้ว

      @@PrimeNewtons in fact i used my c++ compiler and unsigned long long as type of variable to store the input, and the result of calcul of 5^26 gave me :
      1490116119384765696
      I don't know how, perhaps there was something wrong in limit of variable or in my compiler..
      Thnks any way ✌

    • @PrimeNewtons
      @PrimeNewtons  2 ปีที่แล้ว +2

      Okay, I can't help with that. I'm sure you know that your answer is not a multiple of five. You should ask some c++ savvy person. I'm just a math teacher.

    • @Aminraghibfans774
      @Aminraghibfans774 2 ปีที่แล้ว +1

      @@PrimeNewtons yes sir you're right, i respect you for your interest, and thank you for everything 👍👍

  • @me56743
    @me56743 2 หลายเดือนก่อน

    Find last twp dgt pf 22^33

  • @Lovedrug96
    @Lovedrug96 2 ปีที่แล้ว +1

    please do last 3 digit

    • @PrimeNewtons
      @PrimeNewtons  2 ปีที่แล้ว

      That would require a lot of number theory. Let's see.

  • @dakshpatel7076
    @dakshpatel7076 3 หลายเดือนก่อน

    Bro u sigma

  • @minute-ai
    @minute-ai ปีที่แล้ว +3

    I don't know Will Smith makes math tutorials, hahaha

    • @PrimeNewtons
      @PrimeNewtons  ปีที่แล้ว

      He doesn't.

    • @robertveith6383
      @robertveith6383 5 หลายเดือนก่อน

      You have a stupid comment. I reported it as spam.