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
tankabanditka [31]
3 years ago
12

If you raise 4 to the 214th power, what is the units digit of the result

Mathematics
1 answer:
Len [333]3 years ago
4 0
\begin{array}{lrlll}
4^1&\boxed{4}\\
4^2&1\boxed{6}\\
4^3&6\boxed{4}\\
4^4&25\boxed{6}\\
4^5&102\boxed{4}\\
4^6&409\boxed{6}
\end{array}\impliedby \textit{see the pattern for 4?}

notice, it goes 4,6 then 4, 6 again, and so on and so on
based on whatever exponent it may have

now, you're being asked, what 214 will give? 4 or 6?
You might be interested in
What is an equation that is equal to 4a+2b=10?
horsena [70]

the answer is: b= -2a + 5

8 0
3 years ago
Read 2 more answers
Find the area of a circle with a radius of 21 feet. Use 22/7 for pi.
shusha [124]

Answer:

1386 square units

Step-by-step explanation:

Area of a cirlce = Pi x r^2 [ Pi is 22/7 as stated in question]

22/7 x 21^2 = 1386 sq. units

5 0
3 years ago
Determine which equations have the same solution set as StartFraction 2 Over 3 EndFraction minus x plus StartFraction 1 Over 6 E
Lina20 [59]

Answer:

A, B, F

Step-by-step explanation:

2/3 - x + 1/6 = 6x

Collect like terms

2/3 + 1/6 = 6x + x

(4+1) / 6 = 7x

5/6 = 7x

x = 5/6 ÷ 7

= 5/6 × 1/7

x = 5/42

a) 4 - 6x + 1 = 36x

4 + 1 = 36x + 6x

5 = 42x

x = 5/42

Equivalent to the last step of the simplification above

b) 5/6 - x = 6x

5/6 = 6x + x

5/6 = 7x

This is equivalent to the third step of the simplification

c) 4 - x + 1 = 6x

4 + 1 = 6x + x

5 = 7x

x = 5/7

Not equivalent to any of the steps in the simplification above

d) 5/6 + x = 6x

5/6 = 6x - x

5/6 = 5x

x = 5/6 ÷ 5

= 5/6 × 1/5

x = 5/30

Not equivalent to any of the steps in the simplification above

e) 5 = 30x

x = 5/30

Not equivalent to any of the steps in the simplification above

f) 5 = 42x

x = 5/42

Equivalent to the last step of the simplification above

4 0
3 years ago
How do you model a decimal using a fraction
stiks02 [169]
Okie dokie, 
When converting a decimal, you use the place the decimal is in...
Let's review the places: tenths, hundredths, thousandths, etc.
You look at the last number to determine what place you're using!
-------------------
Now here's an example for the tenths place:
.5
it's in the tenths place, right? so put it over that number (with no decimal) over a 10.
(mobile) 5/10 or \frac{5}{10}
Now, decide if you can simplify. You can! 5/10 simplifies down to 1/2.
\frac{1}{2} is your answer!
--------
Example for the hundredths place:
.26
the last number is in the hundredths place, so put the number (without a decimal) over 100!
26/100 or \frac{26}{100}
You can simplify this!
13/50 is your answer!

Calculators can also come in handy!
Good luck!

4 0
3 years ago
Part A: If (7^2)^x = 1, what is the value of x? Explain your answer. (10 points)
Alex777 [14]
Answers:Part A: The value of x is 0.Part B: X can be any real number.
In Part A, you have to first evaluate 7^2. This is 49. Now, write the equation 49^x = 1. We know that if you raise any number to 0, then the answer is 1.
In Part B, you have to first evaluate 7^0, that is 1. Now, we have the equation 1^x = 1. In this case, 1 raised to any exponent is still only 1. Imagine 1^17, this would be 1 times itself 17 times or just 1.
Therefore any number will work in Part B.

3 0
3 years ago
Other questions:
  • writing an equation of a line given its slope and y-intercept. write an equation in slope-intercept form for the line with slope
    9·1 answer
  • Hello, can somebody help me answer this?​
    11·2 answers
  • When addressing an envelope for delivery in the United States or Canada, the zip code should appear
    8·1 answer
  • What does simplify mean in math terminology it's very hard
    10·2 answers
  • D= 5/6 (F+G)..........solve for F. What is the solution?Sorry, I'm really bad at algebra, and I was just wondering if anybody co
    8·1 answer
  • Find the values of y = r(x) = ∛x for
    12·1 answer
  • Is a maximum increasing Or decreasing
    14·1 answer
  • Find a number whose sum is 36 and their difference is 10 what are the numbers and its calculation​
    15·1 answer
  • Please help me I can not afford to fail this class!!!!
    8·1 answer
  • Can y’all please solve this
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!