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
labwork [276]
3 years ago
9

Which expression is equivalent to ( 4mn / m^-2n^6)^-2

Mathematics
1 answer:
inn [45]3 years ago
8 0

Here are a few rules with exponents that apply here:

  1. Raising a power to a power: (x^m)^n=x^{m*n}
  2. Dividing exponents of the same base: \frac{x^m}{x^n}=x^{m-n}
  3. Converting negative exponents to positive ones: x^{-m}=\frac{1}{x^m}\ \textsf{and}\ \frac{1}{x^{-m}}=x^m

Firstly, solve the outer exponent:

(\frac{4mn}{m^{-2}n^{6}})^{-2}=\frac{4^{-2}m^{-2}n^{-2}}{m^{-2*-2}n^{6*-2}}=\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}

Next, divide:

\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}=4^{-2}m^{-2-4}n^{-2-(-12)}=4^{-2}m^{-6}n^{10}

Next, convert the negative exponents:

4^{-2}m^{-6}n^{10}=\frac{n^{10}}{4^2m^6}=\frac{n^{10}}{16m^6}

<u>Your final answer is n^10/16m^6 , or B.</u>

You might be interested in
What is 9 times 3 fourths ?
Elena L [17]
9 * 3/4 = 6.75

You could change 3/4 into a decimal by dividing 3 by 4, which equals ,75.
4 0
3 years ago
Please help this is due ❗️❗️❗️❗️❗️
aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

19x^2y-4xy^2+5xy^2-16x^2y=\\3x^2y+xy^2=\\xy*(3x+y)

8 0
1 year ago
Read 2 more answers
Seth is trying to find the unit price for a package of blank compact discs on sale at 10 for $5.49. Find his mistake and correct
hoa [83]
It is about .55 cents for each disk
3 0
3 years ago
If y = -12 when x = 9, find u when x = -4
True [87]

Answer:

y should equal -25 if i did the math right

Step-by-step explanation:

-12 and 9 have a difference of -21 so if i subtract -21 from -4 it would equal -25.. hope this helps!!

4 0
3 years ago
IF YOU ANSWER CORRECTLY I WILL GIVE YOU BRAINLIEST***
Artist 52 [7]

Answer:

<em>113.04 </em>

Step-by-step explanation:

i believe

5 0
3 years ago
Read 2 more answers
Other questions:
  • Find the ratio of the perimeters and the ratio of the areas of the larger rectangle to the smaller rectangle.
    6·1 answer
  • Jaden wants to cover a floor with square titles of the same size. The floor measures 315 inches by 108 inches.
    10·1 answer
  • Find the midpoint of a segment with endpoints A(-3,10) and B(9,2).
    12·2 answers
  • 21 is what percent of 30?
    14·1 answer
  • 10m +n2 when m =5 and n=4
    7·1 answer
  • Find g-1(3):<br> g(x) =<br> 2x+2<br> 2x + 2<br> 4
    10·1 answer
  • Draw a line representing the "rise " and a line representing the "run" of the line. State the slope of the line in simplest form
    5·1 answer
  • Helpppppp fjekdjdjdj
    11·1 answer
  • Help loll i need an 100
    6·2 answers
  • Find the volume of the sphere. Round your answer to the nearest tenth.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!