Question

The unit digit of (79) ^175

Answer 1

Answer:

9

Step-by-step explanation:

Let's first find the unit digit of 79^175, which is 9^175.

We have a pattern:

9^1 == 9

9^2 == 1

9^3 == 9

.

.

.

This means that if the exponent is odd, the unit digit is 9, and if it is even, then it's 1. In this case it's odd, which means the unit digit is 9

Answer 2

Answer:

The unit digit of 79¹⁷⁵ is 9.

Step-by-step explanation:

To solve the given equation a pattern has to be found.

79 has 9 in its unit place

so when

     In units place

9¹ = 9

9² = 1

9³ = 9

9⁴ = 1  and so on

So we observed that when 9 is raised to even power the units place has 1 while 9 is raised to an odd power the ones place has 9.

In the question 79 is raised to the power 175 that is 9 is raised to the power 175. And 175 is an odd number so according to the pattern the unit digit is 9.