Last digit

What is the last number of 2016 power of 2017

Result

n =  1

Solution:

Solution in text n =
Solution in text n = : Nr. 1







Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Showing 1 comment:
#1
Dr Math
Usually, whenever there is such a question to find the last digit of a^b.., the first step is to find the pattern.

Now 2017^n follows a pattern, with respect to its last digit. The last digits follow a pattern of 1,7,9,3 and this pattern keeps repeating.

avatar









To solve this example are needed these knowledge from mathematics:

Next similar examples:

  1. Equivalent expressions
    pizza_10 A coach took his team out for pizza after their last game. There were 14 players, so they had to sit in smaller groups at different tables. Six players sat at one table and got 4 small pizzas to share equally. The other players sat at the different table a
  2. What is one third
    decimals What is 1/3 as a decimal? Give your answer rounded to 2 decimal places.
  3. Trees in alley
    tree_6 There are four trees in the alley between which the distances are 35m, 15m and 95m. Trees must be laid in the spaces so that the distance is the same and the maximum. How many trees will they put in and what will be the distance between them?
  4. Reconstruction of the corridor
    koridor Calculate how many minutes will be reduced to travel 187 km long railway corridor, where the maximum speed increases from 120 km/h to 160 km/h. Calculate how many minutes will shorten travel time, if we consider that the train must stop at 6 stations, eac
  5. Precious metals
    gold_3 In 2006-2009, the value of precious metals changed rapidly. The data in the following table represent the total rate of return (in percentage) for platinum, gold, an silver from 2006 through 2009: Year Platinum Gold Silver 2009 62.7 25.0 56.8 2008 -41.3 4
  6. Compare:
    nevim.JPG What is bigger? ?
  7. Unknown number
    zlomky_19 I think the number. I'll reduce it to its one-third. The result is then increased by one-third, and I get the number 12.
  8. Motion problem
    dragway From Levíc to Košíc go car at speed 81 km/h. From Košíc to Levíc go another car at speed 69 km/h. How many minutes before the meeting will be cars 27 km away?
  9. Cuboid
    cuboid_1 The cuboid has a surface area 7705 cm2, the length of its edges are in the ratio 1:4:5. Calculate the volume of the cuboid.
  10. Roots
    square_roor Calculate the square root of these numbers:
  11. Cube
    cubes_14 One cube has edge increased 5 times. How many times will larger its surface area and volume?
  12. Expressions
    vyraz Find out value of expressions if a = -1, b =2: x=b - 2a - ab y=a3 - b2 - 2ab z=a2 b3 - a3 b2 w=a + b + a3 - b2
  13. Walking
    tourist_5 Lucie can walk about 3 4/5 miles each hour. How far can she walk in 2 hours 45 minutes?
  14. Jose and
    ball_f_4 Jose and Kaitlyn have a contest to see who can throw a baseball the farthest. Kaitlyn wins, with a throw of 200 ft. If Jose threw the ball 3/4 as far as Kaitlyn, how far did Jose throw the ball?
  15. Write 2
    fractions_12 Write 791 thousandths as fraction in expanded form.
  16. The Mayflower
    storm-012_2 The Mayflower traveled for 66 days on the trip from England to America. The weather was storming for many days of their trip. If one and a half of the days at Sea where Sunny with good weather, 1/6 of the days were sunny but very windy and the other days r
  17. Find x
    eq222_23 Solve: if 2(x-1)=14, then x= (solve an equation with one unknown)