Question

What will be the reminder if 9⁶⁰ is divided by 7. Give me answer fast. I mark you as brain list answer​

Answer 1

Answer:

$2.56*10^{56}$

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Answer 2

Answer:

9^60 can be written as (7+2)^60 binomial expansion of which leaves only one term (2^60) without 7.

So the expression (7+2)^60 mod 7 simplifies to 2^60 mod 7.

2^60 mod 7

= (2^3)^19 × 2^3 mod 7

= 8^19 × 8 mod 7

= (7+1)^19 × 8 mod 7

This simplifies to 1^19 × 8 mod 7

8 mod 7 = 1

HENCE THE REQUIRED REMAINDER IS 1

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