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goformit100
 2 years ago
Find the remainder when 2^1990 is divided by 1990.
goformit100
 2 years ago
Find the remainder when 2^1990 is divided by 1990.

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ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.0Mod arithmetic :') @terenzreignz

goformit100
 2 years ago
Best ResponseYou've already chosen the best response.1In this question How to square to so much power ?

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.4Might have to resort to totients..... @ParthKohli ?

goformit100
 2 years ago
Best ResponseYou've already chosen the best response.1Sir if i use the exponent rule will it work here ?

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.0Ah! Euler's Theorem!

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.4Time to doodle... \[\large 2^{1990}=4^{995}\]

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1how to factor 1990?

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.4What is 4^5? \[\Large = 1024^{199}\]

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1try \(2\times 5\times 199\)

mayankdevnani
 2 years ago
Best ResponseYou've already chosen the best response.21990 = 10*199 = 2* 5* 199

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.4\[\large 1024^{199}=1024\cdot 1024^{198}=1024\cdot 2048^{99}\]

goformit100
 2 years ago
Best ResponseYou've already chosen the best response.1try \(2\times 5\times 199\) means ?

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.4Now let's start working some "mod magic" and reduce the bases at mod 1990 \[\Large =_{(mod \ 1990)} \ \ 1024\cdot 58^{99}\]

mayankdevnani
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1367281405845:dw

goformit100
 2 years ago
Best ResponseYou've already chosen the best response.1ok So LCM can be take as a good way of factorizing numbers ok ?

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.4\[\Large \equiv 1024\cdot 58 \cdot 58^{98}\]

mayankdevnani
 2 years ago
Best ResponseYou've already chosen the best response.2yaaa @goformit100

mayankdevnani
 2 years ago
Best ResponseYou've already chosen the best response.2it is the best way!!!

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.4\[\Large \equiv 1682 \cdot 1374^{49}\] gah... possibly inefficient...

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.4\[\Large\equiv 678\cdot (616)^{48}\]

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1\(1990=2\times 5\times 199\) and \(2^2\equiv 4(5) \) also \(2^{198}\equiv 1(199)\) by fermat

goformit100
 2 years ago
Best ResponseYou've already chosen the best response.1Mods Sir(s) I have to make you know that the Equation you are posting have not opened yet

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1actually this is kind of a pain isn't it

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.0if you are seeing "math processing error", try refreshing

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.4\[\Large \equiv 678\cdot (1356)^{24}\]

goformit100
 2 years ago
Best ResponseYou've already chosen the best response.1Yo It's done...Mods you'll great REFRESHING WORKED. No SEE

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.4\[\Large \equiv 678 \cdot (634)^{24}\equiv678\cdot (634)^{24}\]

goformit100
 2 years ago
Best ResponseYou've already chosen the best response.12^1990 is divided by 1990 what to actually for this ?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.02^1990 2^11 = 2048 = 38 mod 1990 2^(11(180)+10) is what i had in mond :)

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.4I lack creativity, guys :)

goformit100
 2 years ago
Best ResponseYou've already chosen the best response.1@mikaela19900630 you may too se the question I have posted now.

goformit100
 2 years ago
Best ResponseYou've already chosen the best response.1Thank you all of you. I can do these type of question Now :)

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.4\[\Large \equiv 678\cdot (24)^{24}\equiv 678\cdot 24^{24}\]

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.4cr*p... sorry \[\Large \equiv 678\cdot (24)^{\color{red}{12}}\equiv 678\cdot 24^{\color{red}{12}}\]

goformit100
 2 years ago
Best ResponseYou've already chosen the best response.1Thank You Very Much.

goformit100
 2 years ago
Best ResponseYou've already chosen the best response.1COME TO http://openstudy.com/study#/updates/517e64aae4b05fd789937825
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