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
BaLLatris [955]
2 years ago
6

Simplify the expression. Assume that all variables represent nonzero real numbers.StartFraction (4 n Superscript 4 Baseline q Su

perscript 5 )squared (8 n Superscript 4 Baseline q )Superscript negative 2 Over (negative 3 nq Superscript 9 )Superscript negative 1 Baseline (4 n cubed q Superscript 9 )cubed EndFraction StartFraction
Mathematics
1 answer:
Alja [10]2 years ago
4 0

Answer:

\frac{ - 3}{ 256  {q}^{10} {n}^{8}  }

Step by step explanation:

\frac{ {(4 {n}^{4} {q}^{5})}^{2}  {(8 {n}^{4} q)}^{-2} }{  {(- 3 {nq}^{9})}^{ - 1}   {(4 {n}^{3} {q}^{9})  }^{3} }

first we will change the terms with negative superscrips to the other side of the fraction

\frac{{(4 {n}^{4} {q}^{5})}^{2}{(- 3 {nq}^{9})}^{ 1}}{{(4 {n}^{3} {q}^{9})}^{3} {(8 {n}^{4} q)}^{2} }

then we will distribute the superscripts

\frac{ {4}^{2} {n}^{2 \times 4} {q}^{2 \times 5} (- 3) {nq}^{9}}{ {4 }^{3}{n}^{3 \times 3} {q}^{9 \times 3} {8 }^{2}{n}^{4 \times 2}  {q}^{2} }

\frac{ {4}^{2} {n}^{8} {q}^{10} (- 3) {nq}^{9}}{ {4 }^{3}{n}^{9} {q}^{27} {8 }^{2}{n}^{8}  {q}^{2} }

as when multiplying two powers that have the same base, we can add the exponents and, to divide podes with the same base, we can subtract the exponents

{4}^{2 - 3}  {q}^{10  + 9 - 2 - 27}  {n}^{8 + 1 - 8 - 9}  {8}^{ - 2}  { (- 3)}^{1}

{4}^{ - 1}  {q}^{ - 10}  {n}^{ - 8}  {8}^{ - 2}  { (- 3)}^{1}

then we will change again the terms with negative superscrips to the other side of the fraction

\frac{ - 3}{ 4 \times  {8}^{2}  {q}^{10} {n}^{8}  }

\frac{ - 3}{ 256  {q}^{10} {n}^{8}  }

You might be interested in
Which is equivalent to 3sqrt8^x ?
creativ13 [48]
The correct answer is A.
7 0
3 years ago
West and Company uses the LIFO method to calculate inventory values. Their beginning inventory consisted of 200 units at a cost
nirvana33 [79]
The total inventory is 200 + 300 + 400 + 100 = 1000. If 300 units remained, the we calculate the cost of the 700 sold via LIFO. These 700 units include the 100 units at $12.00, the 400 units at $11.00, and 200 units at $10.00 (out of the 300 purchased). This is a total cost of 100*12 + 400*11 + 200*10 = 1200 + 4400 + 2000 = $7600.
7 0
3 years ago
Which line is NOT a line of symmetry? photo above<br><br><br> Please HELP Me
MrRissso [65]

Answer: I believe it is "It also has a reflectional symmetry

Step-by-step explanation: Because even if you rotate the picture if you fold it in half it will fit perfectly with each other

4 0
2 years ago
Read 2 more answers
Find the value of the coefficient of
Korolek [52]
The solution to the problem is as follows:
<span>
the genaral term is 5Cr(-1)^r 2^r x^(5-2r) 
and so need 5-2r = -1 => r = 3 
Coeff is then 5C3 (-1)^3 2^3 = -80
</span>
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
7 0
3 years ago
Which fraction is equal to 7
Leya [2.2K]
The answer is E 73/10
3 0
2 years ago
Other questions:
  • Gary is looking over his receipts from his trip to Europe. When he was in Germany, he exchanged US dollars for euros at a rate o
    6·2 answers
  • What is 7×11+3×3-16/2
    7·2 answers
  • What are two ways to find 35% of 700
    9·1 answer
  • One of the roots of the equation x2−5x+q=0 is 2. Find the other root and the value of the coefficient q.
    8·2 answers
  • What is the graph of F(x)=0.5(2)x
    14·1 answer
  • Solve 1.2(5-x) = 2(1.4x+3)
    13·1 answer
  • ARITHMETIC<br> SEQUENCE or geometric sequence or none <br> 40, 43, 46, 49, 52. ...
    9·2 answers
  • What is m∠A?<br><br><br>Enter your answer in the box.
    13·1 answer
  • Which graph represents a function with direct variation?
    9·1 answer
  • Q4H: The question is in the picture below (please show work) :
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!