To solve this problem, we need to understand the pattern of the last digit of the powers of 7.

The powers of 7 follow a pattern for the last digit: 7, 9, 3, 1, 7, 9, 3, 1, and so on. This pattern repeats every 4 powers.

Now, let's look at the power in the problem, which is 175. We need to find the remainder when 175 is divided by 4 (since the pattern repeats every 4 powers).

175 divided by 4 gives a quotient of 43 and a remainder of 3.

This means that the last digit of 3127^175 will be the same as the third digit in the pattern, which is 3.

So, the unit digit in the value of 3127^175 is 3.

Question

To solve this problem, we need to understand the pattern of the last digit of the powers of 7.

The powers of 7 follow a pattern for the last digit: 7, 9, 3, 1, 7, 9, 3, 1, and so on. This pattern repeats every 4 powers.

Now, let's look at the power in the problem, which is 175. We need to find the remainder when 175 is divided by 4 (since the pattern repeats every 4 powers).

175 divided by 4 gives a quotient of 43 and a remainder of 3.

This means that the last digit of 3127^175 will be the same as the third digit in the pattern, which is 3.

So, the unit digit in the value of 3127^175 is 3.

Knowee AI · Accepted Answer

To solve this problem, we need to understand the pattern of the last digit of the powers of 7.

The powers of 7 follow a pattern for the last digit: 7, 9, 3, 1, 7, 9, 3, 1, and so on. This pattern repeats every 4 powers.

Now, let's look at the power in the problem, which is 175. We need to find the remainder when 175 is divided by 4 (since the pattern repeats every 4 powers).

175 divided by 4 gives a quotient of 43 and a remainder of 3.

This means that the last digit of 3127^175 will be the same as the third digit in the pattern, which is 3.

So, the unit digit in the value of 3127^175 is 3.

What will be the unit digit in the value of 3127^175 ?

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