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
yan [13]
3 years ago
12

If a = –2 – 5i and b = –i, then find the value of the ab^3 in fully simplified form.

Mathematics
1 answer:
Kitty [74]3 years ago
8 0

Answer:

5 + 2i

We were given the complex numbers;

a = - 2 - 5i

and

b = - i

We want to find the product;

ab^3                            ^ = Exponent

We substitute the complex numbers into the expression and simplify

( - 2 - 5i ) (i)^3                     ^ = Exponent            

This is rewritten as:

( - 2 - 5i) (i)^2     x  i                           ^ = Exponent

Note that

i^2 = - 1                                            ^ = Exponent

We substitute to obtain:

( - 2 - 5i )  x  - i                

Let us expand to get:  

- 2 x - i + 5i  x  - i

This simplifies to:

2i - 5i^2                           ^ = Exponent

This gives:

2i - 5 ( - 1 ) = 2i + 5

Hope This Helps

DOH! My Brian Hurts

You might be interested in
ANSWER PLEASE!!!
Dmitry_Shevchenko [17]

Answer:

distributive property

Step-by-step explanation:

8 0
3 years ago
Can anyone help me please? I forget how to do this I need the answer quick
vladimir1956 [14]

Answer:

Domain is R ( all real numbers)

Range is R (all real numbers)

3 0
3 years ago
Which of the following lists is in order from smallest to largest? 1.4, 1/4 ,14% 1/4 , 14%, 1.4 14%, 1/4 , 1.4 1.4, 14%, 1/4
777dan777 [17]
Firstly, I noticed that there are fractions, decimals, and percents. I will change everything to percents, so it’s more easy for me to compare each of them.

List 1. 140%, 25%, 14%. This is from greatest to least, not least to greatest.
List 2. 25%, 14%, 14%. This is not from least to greatest, either.
List 3. 14%, 25%, 140%. This is from least to greatest.
List 4. 140%, 14%, 25%. This is not from least to greatest.

List 3 is from least to greatest. I got this answer by converting all of the fractions and decimals to percentages.
5 0
3 years ago
If five times four is thirty-three, what will the fourth of twenty be?
Zarrin [17]

Answer:

The fourth of twenty is 5

Step-by-step explanation:

The 4th of twenty implies that we divide the number twenty into 4 place, let's us divide it 4

20/4= 5

This problem bothers on on division of numbers and it requires proper understanding of words/terms associated with it.

5 0
3 years ago
You buy a 33-pound bag of flour for $9 or you can buy a 1- pound bag for $0.39. Compare the per pound cost for the large and sma
slamgirl [31]

Answer:

see below

Step-by-step explanation:

9 dollars / 33 lbs = .272727 dollars per lb

.39 / 1 lbs = .39 per lb

The large bag is less expensive

6 0
3 years ago
Read 2 more answers
Other questions:
  • The probability than an event happens is .42. what is the probability that the event won't happen
    11·1 answer
  • Ricky saves $7 each week.use rounding to estimate the amount he will have saved after 1 year.write a number sentence to show you
    6·2 answers
  • What times what equals -36 and adds up to -5
    10·1 answer
  • keisha surveyed a group of people to find their age and shoe size she then graph the ordered pairs (age, Shoe size) for each per
    10·1 answer
  • Each of the angles of an isosceles triangle is twice as large as the third angle . What is the measure of each angle ?
    11·1 answer
  • Kiki has read
    8·1 answer
  • 15 to 18 =<br> What are 3 equivalent ratios for 15 to 18
    14·1 answer
  • write 10075302 in words in both the Indian system and international system and rearrange the digits to get the smallest number ​
    10·1 answer
  • PLZ HELP ME LN THIS ONE ILL GIVE 17 points &lt;3
    15·1 answer
  • Find the distance between the points
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!