Math, asked by SunTheHelpingHand, 1 year ago

What's the REMINDER when 2^(123456789) is DIVISIBLE by 7?

NO need of calculators.NO rough work necessary... It's quite EASY and can be solved MENTALLY (If I can do, then DEFINITELY U CAN♥️✌️)

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Answers

Answered by Anonymous
1

2^129456789 can be written as

(2^3)^43152263.

= (7+1)^43152263

By using remander theorem..we have result as

7*k + 1^43152263.

hence remainder is 1.

Answered by Anonymous
2

Answer:

Step-by-step explanation:

First method

41152263*3=123456789 and (2^3) / 7 = 1 (remainder) , hence we have the remainder as 1

+1

Ans is 1.

Second method

2^129456789 can be written as (2^3)^43152263.

= (7+1)^43152263

By expanding the above expression...we get the result as 7*k + 1^43152263.

So the remainder is 1.

Hope it helps u

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