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| Name | be careful when an imaginary number is raised to a fractional power |
| Video Uploader | Video From blackpenredpen |
| Upload Date | This Video Uploaded At 07-05-2021 11:51:53 |
| Video Discription | Do you like imaginary numbers and complex analysis? Take a course from Brilliant via https://brilliant.org/blackpenredpen/ and start learning something new. That link also gives you a 20% off discount on their premium subscription. The powers of the imaginary unit i are always intriguing. Here we will examine i^(4/4). Is the result 1 or i? We have to be careful when an imaginary number is raised to a fractional power! 0:00 0:06 is i = 1? 4:23 (i^4)^(1/4) vs (i^(1/4))^4 10:14 (i^3)^(1/4) vs (i^(1/4))^3 13:53 summary on z^(m/n) 15:41 check out Brilliant to learn more! 16:35 bonus part Subscribe for more math for fun videos ๐ https://bit.ly/3o2fMNo ๐ช Support this channel, https://www.patreon.com/blackpenredpen ๐ Shop math t-shirt & hoodies: http://bit.ly/bprpmerch. (10% off with the code "WELCOME10") ๐ I use these markers: https://amzn.to/3skwj1E --------------------------------------------------------------------------------------------------- ***Thanks to ALL my lovely patrons for supporting my channel and believing in what I do*** AP-IP Ben Delo Marcelo Silva Ehud Ezra 3blue1brown Joseph DeStefano Mark Mann Philippe Zivan Sussholz AlkanKondo89 Adam Quentin Colley Gary Tugan Stephen Stofka Alex Dodge Gary Huntress Alison Hansel Delton Ding Klemens Christopher Ursich buda Vincent Poirier Toma Kolev Tibees Bob Maxell A.B.C Cristian Navarro Jan Bormans Galios Theorist Robert Sundling Stuart Wurtman Nick S William O'Corrigan Ron Jensen Patapom Daniel Kahn Lea Denise James Steven Ridgway Jason Bucata Mirko Schultz xeioex Jean-Manuel Izaret Jason Clement robert huff Julian Moik Hiu Fung Lam Ronald Bryant Jan ลehรกk Robert Toltowicz Angel Marchev, Jr. Antonio Luiz Brandao SquadriWilliam Laderer Natasha Caron Yevonnael Andrew Angel Marchev Sam Padilla ScienceBro Ryan Bingham Papa Fassi Hoang Nguyen Arun Iyengar Michael Miller Sandun Panthangi Skorj Olafsen Riley Faison Rolf Waefler Andrew Jack Ingham P Dwag Jason Kevin Davis Franco Tejero Klasseh Khornate Richard Payne Witek Mozga Brandon Smith Jan Lukas Kiermeyer Ralph Sato Kischel Nair --------------------------------------------------------------------------------------------------- ๐ช If you would also like to support this channel and have your name in the video description, then you could become my patron here https://www.patreon.com/blackpenredpen awrgXX0Qnjs |
| Category | Education |
| Tags | i^(4/4) | imaginary numbers | complex exponential | power of i |
