Question

30 pts.,.....................
please solve this with steps

what is the last digit of 7^23^12^9​

Answer 1

HEYA ___________________

Your answer is ________________

step by step explaination;

7^23^12^9

Solving for 23^12^9, we get:

=7^2484

We all know that any number raised to the power of 4 or multiple of 4 will follow the same pattern after it's 4th square.

For example…

2^1=2

2^2=4

2^3=8

2^4=16

2^5=32

2^6=64

2^7=128

2^8=256

You see, after raising 2 to it's 5th power, the unit's digit is same as 1st power, and so on…

Also 2484 is completely divisible by 4.

Therefore the pattern followed by 7^2484 will be same as depicted by 7^4.

Hence, last digit of 7^2484

= 7^4

= 2401

I.e. 1

Therefore, Answer would be 1.

hope it helps you:)

Answer 2

Answer:

Step-by-step explanation:

1 is the answer