The unit digit of any number raised to a power can be found by looking at the cyclicity of the unit digit.

The number 8 has a cyclicity of 4, which means the unit digit repeats every 4 powers. The cycle is {8, 4, 2, 6}.

To find the unit digit of 6438^(43897), we need to find the remainder when 43897 is divided by 4 (the cyclicity of 8).

43897 mod 4 = 1

So, the unit digit of 6438^(43897) is the first number in the cycle, which is 8.

Question

The unit digit of any number raised to a power can be found by looking at the cyclicity of the unit digit.

The number 8 has a cyclicity of 4, which means the unit digit repeats every 4 powers. The cycle is {8, 4, 2, 6}.

To find the unit digit of 6438^(43897), we need to find the remainder when 43897 is divided by 4 (the cyclicity of 8).

43897 mod 4 = 1

So, the unit digit of 6438^(43897) is the first number in the cycle, which is 8.

Knowee AI · Accepted Answer

The unit digit of any number raised to a power can be found by looking at the cyclicity of the unit digit.

The number 8 has a cyclicity of 4, which means the unit digit repeats every 4 powers. The cycle is {8, 4, 2, 6}.

To find the unit digit of 6438^(43897), we need to find the remainder when 43897 is divided by 4 (the cyclicity of 8).

43897 mod 4 = 1

So, the unit digit of 6438^(43897) is the first number in the cycle, which is 8.

Find the unit digit of 6438^(43897).