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]
2 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]2 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
Nine students in Maddie's classroom are wearing red. There are
goblinko [34]

Answer:

She is correct because 30 percent of 30 is 9 or in other words if you multiply 30 by 30 percent you get 9.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Write an expression that can be used to check the quotient of 646 ÷ 3
Ipatiy [6.2K]
646/3=x
To check it: x*3 should =646
5 0
3 years ago
Read 2 more answers
Find the area for the rectangular prism
faust18 [17]

Answer:

596ft

Step-by-step explanation:

4 0
3 years ago
How many cubic feet of water will it take to fill a pool that measures 25 feet by 22 feet by 4 feet?
Akimi4 [234]

Answer:

2200 cubic feet of water

Step-by-step explanation:

25x22x4=2200

3 0
3 years ago
Read 2 more answers
Alice went on a class trip to the museum and sketched a scale drawing of a famous painting. The original piece of artwork had a
Burka [1]
Divide 108 and 72 by twelve and you get 9 and 6 which all you have to do it multiply together
3 0
3 years ago
Other questions:
  • Express your answer as a polynomial in standard form.
    11·1 answer
  • Steps to solve x/8-5=-1
    10·1 answer
  • Which is a graph of y = -2x+ 3?
    9·1 answer
  • A car is driven 600 miles and uses 20 gallons of gas. If gas is $1.05 per gallon, what is the gasoline cost per mile?
    6·1 answer
  • Write the following phrase as an algebraic expression. Use b for the unknown. A number split into 18 equal parts
    11·1 answer
  • Name the property : (-1/2) x [(-3/4) + 4/7] = (-1/2) x (-3/5) + (-1/2) x (4/7) ​<br><br>answer fast
    14·1 answer
  • Solve this equation 2(a+3)=-4
    5·2 answers
  • Two is thirteen more than three times a number
    8·1 answer
  • Henry deposited $1700 in a savings account
    6·1 answer
  • The cost of packing a box of chocolates is given by 1 4 x2, where x is the number of chocolates (a box can never have fewer than
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!