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

The number 883 ends in 3. The numbers ending in 3 have a cyclicity of 4, which means the unit digit repeats every 4 powers. The cycle is {3, 9, 7, 1}.

To find the unit digit of 883^167, we need to find the remainder when 167 is divided by 4 (the cyclicity of 3).

167 divided by 4 gives a remainder of 3.

So, we look at the 3rd number in the cycle {3, 9, 7, 1}, which is 7.

Therefore, the unit digit of 883^167 is 7.

Question

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

The number 883 ends in 3. The numbers ending in 3 have a cyclicity of 4, which means the unit digit repeats every 4 powers. The cycle is {3, 9, 7, 1}.

To find the unit digit of 883^167, we need to find the remainder when 167 is divided by 4 (the cyclicity of 3).

167 divided by 4 gives a remainder of 3.

So, we look at the 3rd number in the cycle {3, 9, 7, 1}, which is 7.

Therefore, the unit digit of 883^167 is 7.

Knowee AI · Accepted Answer

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

The number 883 ends in 3. The numbers ending in 3 have a cyclicity of 4, which means the unit digit repeats every 4 powers. The cycle is {3, 9, 7, 1}.

To find the unit digit of 883^167, we need to find the remainder when 167 is divided by 4 (the cyclicity of 3).

167 divided by 4 gives a remainder of 3.

So, we look at the 3rd number in the cycle {3, 9, 7, 1}, which is 7.

Therefore, the unit digit of 883^167 is 7.

Find the unit Digit of (883^167)Options397 1

Question

Solution

Similar Questions

Upgrade your grade with Knowee