1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lesantik [10]
2 years ago
9

Last digit (unit digit) of 2^2014

Mathematics
1 answer:
Drupady [299]2 years ago
7 0

Answer:

4

Step-by-step explanation:

Let's find a pattern.

2^0=1

2^1=2

2^2=4

2^3=8

2^4=16

2^5=32

2^6=64

2^7=128

2^8=256

So starting after power of 0, the pattern begins at power=1. The pattern is 2,4,8,6 for the units digit. Since the pattern repeats in 4, then we shall divide the power in question by 4 seeking it's remainder.

Remainder=1 implies unit digit is 2 (see 2^1=2)

Remainder=2 implies unit digit is 4 (see 2^2=4)

Remainder=3 implies unit digit is 8 (see 2^3=8)

Remainder=0 implies unit digit is 6 (see 2^4=16)

2014/4 = 503 + 2/4

So remainder=2 implies unit digit is 4.

You might be interested in
Find the error in the following sample of work, if one exists.
ch4aika [34]

Answer:

D. There is no mistake.

Step-by-step explanation:

The following lines show the process of factorization by using common factor.

<u>Line 1:</u>

In line 1, the equation is given and is completely fine.

y^{2}+8xy+2y+16x=0

The only thing missing was equate to zero, but the options below talk about correct factors only, therefore this can't be considered as a mistake and can be ignored completely.

<u>Line 2:</u>

In line 2, the terms are grouped, from which we can factor out common terms.

(y^{2}+8xy)+(2y+16x)=0

This is also fine.

<u>Line 3:</u>

In line 3, the common term y is taken out from group 1 and 2 from other group.

y(y+8x)+2(y+8x)=0

which is exactly what is given in line 3.

<u>Line 4:</u>

In line 4 the common factors can be seen and easily split into 2 factors.

(y+2)(y+8x)=0

which is exactly what is given in line 4.

Options:

A. The grouping is correct in line 2. So this option is does not hold.

B. Common factor was factored correctly from group 1. So this option does not hold.

C. Common factor was factored correctly from group 2. So this option does not hold.

D. There is no mistake. This is correct. Thus we choose this option as correct answer.

3 0
3 years ago
Pls help. I am not very smart!
Yanka [14]

Answer:

Umm I'm not entirely sure but I think its the last one

8 0
3 years ago
Read 2 more answers
A=2x+6xz <br> a=2x+6xz<br> for x
Dennis_Churaev [7]
So I guess we are solving for x here :)
So here is my work...
a=2x+6xz
Basically I think it would be
a=6xz+2x

WAIT WAIT NO I'M WRONG FORGIVE ME!

It's  x=a/2(1+3z)
5 0
3 years ago
Read 2 more answers
PLZZZZZZ HEEEEEEEEELLLLLPPPPP<br> (will mark brainliest for correct answers)
alexdok [17]

Answer:

y=4

Step-by-step explanation:

3(9) +4y= 43

27+4y=43

4y=16

y=4

6 0
2 years ago
-3=t-5s<br> Solve for t<br> I need work shown and I’m so confused on this!!
slega [8]

Answer:

t=5s-3

Step-by-step explanation:

Flip the equation:

5s+t=-3

then add 5s to both sides:

-5s+t+5s=-3+5s

then solve:

5s-3=t

4 0
2 years ago
Other questions:
  • What is 4.45 repeating as a fraction?
    9·2 answers
  • code can be You are sending your friend a coded message by rearranging the letters in the word "STRIKE. That is, your any arrang
    14·1 answer
  • How do you multiply 9.4 by 7.85 with work shown
    13·1 answer
  • What is the justification for each step in the solution of the equation?
    8·2 answers
  • Solve the two-step equation.
    5·1 answer
  • Which shows the expressions in the order they would appear on a number line from least to greatest?
    13·1 answer
  • Tito is installing a new kitchen floor. The kitchen is square in shape and has an area of 441 sq ft. What is the length of one s
    9·1 answer
  • Write a linear equation in standard form for the line that goes through (4,3)<br> and (8,2).
    15·1 answer
  • How much money did you save if the original price was $21 and this discount was 28%
    6·1 answer
  • Can someone Help Me?​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!