Question

how to find unit digit in expression 55^725+73^5810+22^853​

Answer 1

Answer:

6

Step-by-step explanation:

by cyclicity of 5,3 and 2,

55 unit digit=5.

5^725=5. ..(5^n is always ends with 5)

Unit digit of73 is 3

3^5810 divide the power by 4i.e 5810/4 remainder=2

3^(4k+2) unit digit is 9. .

Unit digit of 22 is 2

2^853 can be expressed as 2^(4k+1)

And unit digit of 2^(4k+1) is 2...

So,the unit digit of sum of

55^{725}+73^{5810}+22^{853}

Is 5+9+2=...6.

Hence,6 is the answer.

Answer 2

Answer:

8.0503970E10825

Step-by-step explanation:

try it on Microsoft math calculator