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
alina1380 [7]
3 years ago
14

What is the simplest form of i^16 plus i^6 minus 2i^5 plus i^13?

Mathematics
1 answer:
BARSIC [14]3 years ago
6 0
\bf \textit{recall that}\qquad i^4=1\qquad i^3=-i\qquad i^2=-1\\\\
-------------------------------\\\\
i^{16}+i^6-2i^5+i^{13}\implies i^{4\cdot 4}~+~i^{4+2}~-~2i^{3+2}~+~i^{4+4+4+1}
\\\\\\
(i^4)^4~+~i^4\cdot i^2~-~2\cdot i^3\cdot i^2~+~i^4\cdot  i^4\cdot  i^4\cdot  i^1
\\\\\\
(1)^4+[1\cdot -1]-[2(-i)(-1)]+[(1)(1)(1)(i)]
\\\\\\
1-1-2i+i\implies -i
You might be interested in
(2-5i)(4+7i)? How do u do this? HELPPPPPPPP
krek1111 [17]
The "I"'s r variables, now u do 2-5 which sequels -2. now u do 4+7 and that ='s 11. now I think u take 11 and -2 and u subtract 11-(-2). or it could be change the negative into a positive and add them together.
3 0
3 years ago
1 . Evaluate 3a - 12 divided by a for a =4 2. Evaluate 3x- 2y , if x= 5 and y =3
ziro4ka [17]
This is how I understood the question

Hope I helped!

3 0
3 years ago
What is 9.36•10~4 in standard form
marta [7]
With exponents of 10, the exponent really just tells you how many zeroes there are behind the 1. So, for example, 10^4=10000 (4 zeroes behind 1). When multiplying decimals by exponents of 10, you move the decimal to the right, and the amount of places is the exponent number. For example, if I multiply 5.34 by 10^2, I move the decimal over to the right 2 times and get 534.

So, if you just multiply these you get 9.36*10000, which is 93600.
8 0
3 years ago
A machine in an office can shred 65 sheets of paper every 5 seconds. How many sheets of paper can the machine shred in 60 second
Tema [17]

Answer:

780 sheets

Step-by-step explanation:

we know that

A machine can shred 65 sheets of paper every 5 seconds

so

using proportion

Find out how many sheets of paper can the machine shred in 60 seconds

7 0
3 years ago
Read 2 more answers
A function is shown in the table.
Anna71 [15]
<span>Given:
x       g(x)
−3      17
−1      −3
0        −4
2        13

The true statement for the given function is:
</span><span>The function is decreasing from x = −3 to x = −1.
</span><span>
As you can see, when x = -3 the corresponding value of the function is 17 but when x = -1 the corresponding value is -3. There is a decrease of 20. </span>→<span>  17 - 20 = -3



</span>
3 0
3 years ago
Read 2 more answers
Other questions:
  • Write the percent as a fraction or mixed number in simplest form
    11·1 answer
  • What dose 0.022222222 equale in a fration?
    9·1 answer
  • How do i find the unknown length on an angle
    15·1 answer
  • Evaluate without using a calculator <br><br> 899^2 - 2 * 899 * 898 + 898^2
    10·1 answer
  • How do you find area like in this question I know already it’s d though I just need help figuring this out?
    14·2 answers
  • Suppose 12% of the students chose to study French their freshman year, and that meant that there were 21 such students. How many
    7·1 answer
  • Toms weekly salary increased from $240 to $270. what was the percent of change?
    14·2 answers
  • GUYS AND LADIES PLSSSSSSS HELP ME AHHHHHH Im IN 1st grade wat is 1 plus 1
    11·1 answer
  • Help brainlist to first awnser
    12·2 answers
  • The cube less the square of a number is twice the number. If x is a positive integer, what is its value
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!