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
tekilochka [14]
3 years ago
7

How do I solve this question?

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
7 0

Hello,

we can simplify as below

\dfrac{(2p^3q^4)^4}{(-3q^5)^2}*\dfrac{9}{(4p^2q)^2}=\dfrac{2^4p^{12}q^{16}3^2}{3^2q^{10}4^2p^4q^2}=p^{12-4}q^{16-10-2}=p^{8}q^{4}=p^{a+b}q^{b-a}

So it means that

8 = a+b

4 = b-a

8+4 = a+b+b-a=2b

2b = 12

b = 6

and a = 6 - 4 = 2

hope this helps

You might be interested in
Emma took a taxi from the airport to her house. She paid a flat fee of $5$5 plus $3.70$3.70 per mile. The fare came to $42$42. F
Anon25 [30]

Answer:

Required equation is 42 = 5 + 3.70d

Step-by-step explanation:

Emma took a taxi from the airport to her house. She paid a flat fee of $5 plus $3.70 per mile.

The fare came to $42

Flat fee = $5

Variable fee = $3.70 per miles

Total fare = $42

Let Emma traveled d miles

Total fare = Flat fee + variable fee of d miles

 According to given info.

42 = 5 + 3.70d

Now we solve for d,

Therefore, d=10 miles

Thus, Required equation is 42 = 5 + 3.70d , d=10 miles

6 0
4 years ago
Read 2 more answers
How many kilograms are there in 37 pounds?
lana66690 [7]

Answer:16.8

Step-by-step explanation: multiply 37 pounds by 0.454 and round

4 0
3 years ago
Read 2 more answers
A textbook store sold a combined total of 274 psychology and biology textbooks in a week. The number of psychology textbooks sol
Shalnov [3]

Answer:176 psychology textbooks and 98 Biology textbooks were sold.

Step-by-step explanation:

Let x represent the number of psychology textbooks that were sold.

Let y represent the number of biology textbooks that were sold.

textbook store sold a combined total of 274 psychology and biology textbooks in a week. This means that

x + y = 274 - - - - - - - - - - -1

The number of psychology textbooks sold was 78 more than the number of biology textbooks sold. This means that

x = y + 78

Substituting x = y + 78 into equation 1, it becomes

y + 78 + y = 274

2y = 274 - 78

2y = 196

y = 98

x = y + 78 = 98 + 78

x = 176

6 0
3 years ago
Read 2 more answers
Write 164.38 in expanded form
IceJOKER [234]
<span>64.38 = (1 x 100) + (6 x 10) + (4 x 1) + (3/10) + (8/100)</span>
8 0
4 years ago
Read 2 more answers
Show work please :: I forgot how to solve
Vesna [10]
40 pages = 80 minutes
210 pages = ? minutes
Well, take the first fact; 40 pages in 80 minutes and use it to find how many pages per minute.
40/80=1/2
1/2 pages = 1 minute
1 page = 2 minutes
210 pages = ? minutes
210*2=420
420 minutes = 7 hours
210 pages = 7 hours
Hope this helped :)
4 0
4 years ago
Other questions:
  • What is the answer!!
    11·1 answer
  • Mitch is buying candy bars for his friends he wants to give to 2 bars to each friend he wants to be to have 10 spare bars you ca
    15·2 answers
  • MULTIPLYINGFRACTIONS WITH ANOTHER FRACTIONSUSING CANCELLATIONS
    10·1 answer
  • Given that C=3 and d=2, What is the value of x if x=2C+d​
    7·1 answer
  • Use the words "ten times" to compare the number of children who have a dog 36,580 with the number of children who have a rabbit
    9·2 answers
  • 6 7\16+9 1\2 what is the answer
    6·2 answers
  • What is the value of the expression, if p=42?<br> Then whats p+22
    11·2 answers
  • What is the cube of a number and five
    13·1 answer
  • How to work out plz I need help to figure out
    5·1 answer
  • 8 × ( 10 - 7 ) distribute property<br><br>​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!