# Last digit

What is the last number of 2016 power of 2017

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

**Showing 1 comment:**

**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.

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.

#### To solve this example are needed these knowledge from mathematics:

## Next similar examples:

- Reconstruction of the corridor

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 - Compare:

What is bigger? ? - Temperature change

The mean temperature change is -3.2°F per day for five days. What is the total change over the five day period? - Cube root

For 13, Sam wrote 2891 instead of the correct cube number. By how much was he wrong? - Motion problem

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? - Rectangular cuboid

The rectangular cuboid has a surface area 5334 cm^{2}, its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid. - Roots

Calculate the square root of these numbers: - The King

The King wants to divide his sons equally. He has 42 rubies and 45 diamonds. How many sons and how will they share them? - Cube

One cube has edge increased 5 times. How many times will larger its surface area and volume? - Profit growth

The profit of a company increased by 25% during the year 1992, increased by 40% during the year 1993, decreased by 20% in the year 1994 and increased by 10% during the year 1995. Find the average growth in the profit level over the four years periods? - Expressions

Find out value of expressions if a = -1, b =2: x=b - 2a - ab y=a^{3}- b^{2}- 2ab z=a^{2}b^{3}- a^{3}b^{2}w=a + b + a^{3}- b^{2} - Area of rectangle

How many times will increase the area of the rectangle, if we increase twice the length and at the same time we decrease the width by the half? - Decorative fence

The rectangular garden is 57 m long and 42 m wide. Calculate how much m² it will reduce if it encloses with a 60 cm wide decorative fence. - Conference 2

9 people attended a conference on behalf of their company. The conference fee was £520 per person and the company paid a total of £856 in travel costs for the 9 people. How much did the conference cost the company altogether? - The cube

The cube has an edge of 25 cm. We cut it into small cubes of 5 cm long side. How many of these little ones left when we build a new cube of 20 cm in length? - Mixing Celsius and Fahrenheit

Add up three temperatures: 5°F +6°F +0°C - Expression plus minus

Evaluate expression: (-1)2 . 12 – 6 : 3 + (-3) . (-2) + 22 – (-3) . 2