SOLUTION: unit digit of a sum 11^11 + 14^14 + 16^16 whats the unit digit of this sum

Question 267390: unit digit of a sum
11^11 + 14^14 + 16^16 whats the unit digit of this sum
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
Look for patterns:
11^1 = 11
11^2 = 121
11^3 = 1331
I see the pattern of ending in 1.
---
14^1 = 14
14^2 = 196
14^3 = 2744
when the power is odd it ends in 4, and when it is even it ends in 6.
---
16^1 = 16
16^2 = 256
16^3 = 4096
The units digit is always 8.
---
we get 1 + 6 + 6 = 13
The final units digit will be 3.
RELATED QUESTIONS
The sum of a three digit number is 14. The number is 14 larger than twenty times the tens (answered by stanbon)

The sum of a three digit number is 14. The number is 14 larger than twenty times the tens (answered by phillywily)

A number of two-digit has 3 for its unit digit and the sum of the digit is 2/11 of the... (answered by htmentor)

The unit digit of a two-digit number is one less than three times the tens digit. The sum (answered by stanbon)

In a 3 digit number the tens digits is thrice the unit digit and the hundreds digit is... (answered by josmiceli)

The sum of two digit number is 11,and the difference between the ten digit and the unit... (answered by Aldorozos)

The sum of the digits of a two-digit number is 8. The number with the digits interchanged (answered by josmiceli)

A three digit number is such that the sum of its digits its 11. if the tens digit is a... (answered by josgarithmetic,MathTherapy,Shin123)

the ten's digit of atwo digit number is three times the unit digit . the sum of the... (answered by addingup,ikleyn)