Can you Pass Stanford University Admission Simplification Problem ?

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  • Опубліковано 21 лис 2024

КОМЕНТАРІ • 28

  • @GillesF31
    @GillesF31 5 днів тому +1

    Yes, or (and still step by step because it's mental arithmetic) ...
    recall:

    • 2¹⁰ = 1024 (basic prerequisite)
    • 1024² = (1000 + 24)²

    • 1024² = 1000² - 2·1000·24 + 24²

    • 1024² = 1000000 + 48000 + (20 + 4)²

    • 1024² = 1048000 + 20² + 2·20·4 + 4²

    • 1024² = 1048000 + 400 + 160 + 16

    • 1024² = 1048576

    ---

    4¹¹ - 2

    = 2²² - 2

    = 2¹⁰·2¹⁰·2² - 2

    = 1024²·4 - 2

    = 1048576·4 - 2 (see "recall" here above)

    = 4194304 - 2

    = 4194302

    ---

    /// final result:

    ■ 4¹¹ - 2 = 4194302
    🙂

  • @ericerpelding2348
    @ericerpelding2348 12 днів тому +11

    4^11-2 = 2^22 - 2 = (2^11)(2^11) - 2 = (2048)(2048) - 2 = 4194304 - 2 = 4194302

  • @juanalfaro7522
    @juanalfaro7522 5 днів тому +1

    I did it as in the video through 4^11 - 2 = 2* (2^21 - 1) but then did the multiplications after that. 2^21 = 2*2^20 = 2* (2^10) ^2 = 2*[1024^2]. 1024^2 = (1000+24) ^2 = 1000^2 + 2*24*1000 + 24^2 = 1000000 + 48000 + 576 = 1048000 + 576 = 1048576 --> 2^21 = 2*1048576 = 2,097,152. Now 2^21 - 1 = 2097151 --> 4^11 - 2 = 2 * 2,097,151 = 4,194,302.

    • @superacademy247
      @superacademy247  4 дні тому

      Thanks for sharing your approach to the problem in the video 💕💯🥰🥰🙏🔥

  • @mrinmoysarkar185
    @mrinmoysarkar185 11 днів тому +3

    Which grade are you teaching , man?

  • @zully756
    @zully756 9 днів тому +1

    Ahsante

  • @raghvendrasingh1289
    @raghvendrasingh1289 8 днів тому +1

    2^10 = 1024
    2^20 = 1000000+48000+576 = 1048576
    4^11 = 2^22 = 4194304
    Final answer = 4194302

  • @rabotaakk-nw9nm
    @rabotaakk-nw9nm 9 днів тому

    7:15 =254•16513=
    =(200+50+4)16513=
    =(200+100/2+2•2)16513=
    =3302600+1651300/2+33026•2=
    =3302600
    + 825650
    + 66052
    =4194302 😁

  • @alexpasha260
    @alexpasha260 11 днів тому

    Why not sum 5600 and 400 immediately and not do things back and forth (starting from 7,26 min in video)? Very smart, isn't it?😂

  • @jeangoldwater5415
    @jeangoldwater5415 10 днів тому +1

    Really not so interesting...

  • @muontran8589
    @muontran8589 10 днів тому +3

    You did too long.Everyone did it in 1 minute!!!!

  • @kenhuang4697
    @kenhuang4697 9 днів тому

    All these stupid comments are about using a calculator. It’s about how to solve it using arithmetic

  • @neeldesilva8088
    @neeldesilva8088 10 днів тому +7

    waste of time..😢

    • @superacademy247
      @superacademy247  10 днів тому

      Rigorous Math exercise 💪

    • @zully756
      @zully756 9 днів тому

      If waste of time then dont watch.

  • @RyanLewis-Johnson-wq6xs
    @RyanLewis-Johnson-wq6xs 12 днів тому +2

    4^11-2=4194302 final answer

  • @edsznyter1437
    @edsznyter1437 12 днів тому +1

    OMG, no. 2*(2*1024^2-1) = 4194302.

  • @shirayamake
    @shirayamake 11 днів тому

    4(1000000+48000+575)+2