Question

Докадите что 2^12+3^6 делится начито на 25

Answer 1

Ответ:

2¹²+3⁶= 4096+729=4825/25=193

Answer 2

Proof that 2^12 + 3^6 is Divisible by 25

To prove that 2^12 + 3^6 is divisible by 25, we can use modular arithmetic. We need to show that the sum of 2^12 and 3^6 leaves a remainder of 0 when divided by 25.

First, let's calculate the values of 2^12 and 3^6: - 2^12 = 4096 - 3^6 = 729

Now, let's find the remainder when each of these numbers is divided by 25: - 4096 mod 25 = 21 - 729 mod 25 = 4

The sum of these remainders is 21 + 4 = 25, which is a multiple of 25. Therefore, 2^12 + 3^6 is divisible by 25.

Conclusion: 2^12 + 3^6 is indeed divisible by 25.

[[SOURCE #1]]