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
Alona [7]
3 years ago
11

Which expression is equivalent to StartFraction (3 m Superscript negative 1 Baseline n squared) Superscript negative 4 Baseline

Over (2 m Superscript negative 2 Baseline n) cubed EndFraction?
Mathematics
2 answers:
koban [17]3 years ago
8 0

Answer:

3m^{10}n^{-11}

Step-by-step explanation:

Given the expression \frac{(3m^{-1}n^{2})^{-4}   }{(2m^{-2}n)^{3}  }, we will use laws of indices to get the equivalent expression as shown below;

According to one of the law of indices,

\frac{a^{m} }{a^{n} } = a^{m-n}  \ and\ (a^{m})^{n} = a^{mn}

\frac{(3m^{-1}n^{2})^{-4}   }{(2m^{-2}n)^{3}  }\\= \frac{3m^{4}n^{-8}   }{2m^{-6}n^{3}  }\\= 3m^{(4-(-6))} * n^{-8-3}\\ = 3m^{10}n^{-11}

This gives the required expression

jazz023 years ago
0 0

Which expression is equivalent to StartFraction (3 m Superscript negative 1 Baseline n squared) Superscript negative 4 Baseline Over (2 m Superscript negative 2 Baseline n) cubed EndFraction? Assume mc024-2.jpg.
2 m squared n Superscript 5
StartFraction 81 m squared n Superscript 5 Baseline Over 8 EndFraction
2 m squared n squared
StartFraction 81 m squared n squared Over 8 EndFraction

You might be interested in
The area of a bulletin board is 52 square feet. The length is 3 feet less than4 times the width. Find the length and width
Brilliant_brown [7]

Answer:

The length of the bulletin board is 13\ ft

The width of the bulletin board is 4\ ft

Step-by-step explanation:

Let

x-----> the length of the bulletin board

y-----> the width of the bulletin board

we know that

The area of the rectangle (bulletin board) is equal to

A=xy

we have

A=52\ ft^{2}

so

52=xy ------> equation A

x=4y-3 ------> equation B

substitute equation B in equation A and solve for y

52=(4y-3)y

4y^{2}-3y-52=0

Using a graphing calculator------> solve the quadratic equation

The solution is

y=4\ ft

see the attached figure

Find the value of x

x=4(4)-3=13\ ft

6 0
4 years ago
A bicycle has a listed price of 837.95 before tax if the sales tax rate is 7.5% find the total cost of the bicycle with a sales
Andru [333]

Answer:

The total cost of a bicycle after the tax = $900.8

Step-by-step explanation:

Given

  • The cost of a bicycle before tax = 837.95 (let say in $)
  • Sales tax = 7.5% = 0.075

To determine

The total cost of the bicycle with a sales tax include

The tax amount can be calculated by multiplying Sales tax i.e. 0.075 with the cost of bicycle before tax i.e. 837.95.

Thus,

Tax amount = 7.5% × 837.95

                    = 0.075 × 837.95

                    = $62.85

Thus, the tax amount is: $62.85

Total cost after the tax can be calculated by adding the Tax amount and the cost before tax.

Therefore,

The total cost of a bicycle after the tax = $62.85 + $837.95

                                                                 = $900.8

Hence, the total cost of a bicycle after the tax = $900.8

4 0
3 years ago
Read 2 more answers
What number must be added to -7 to get - 13?<br><br>(A.) 7<br>(B.) -7<br>(C.) 6<br>(D.) -6​
Marizza181 [45]

Answer:

D

Step-by-step explanation:

Because -7+6 would be -1 and two negatives have to add together to get a lesser negative number. Also YOU COULD HAVE JUST USED A CALCULATOR!!!!!!

4 0
3 years ago
Given: AE ≅ CE ; DE ≅ BE Prove: ABCD is a parallelogram. Parallelogram A B C D is shown. Diagonals are drawn from point A to poi
nikklg [1K]

Answer:

The proof is below

Step-by-step explanation:

Given a parallelogram ABCD. Diagonals AC and BD intersect at E. We have to prove that AE is congruent to CE and BE is congruent to DE i.e diagonals of a parallelogram bisect each other.

In ΔACD and ΔBEC

AD=BC              (∵Opposite sides of a parallelogram are equal)

∠DAC=∠BCE       (∵Alternate angles)

∠ADC=∠CBE        (∵Alternate angles)

By ASA rule, ΔACD≅ΔBEC

By CPCT(Corresponding Parts of Congruent triangles)

AE=EC and DE=EB

Hence, AE is conruent to CE and BE is congruent to DE

6 0
3 years ago
Picture is question help!!!!!!!!!!!!!!
VLD [36.1K]
The correct answer is 1 mm Hg per year.
3 0
4 years ago
Other questions:
  • Which phrase represents this expression?
    5·1 answer
  • A florist shop represents its first month’s sales with the equation y = 168 x + 8, where x represents the number of days that th
    12·2 answers
  • How to find the height of a triangle knowing width and area
    14·1 answer
  • What times 2 Gives me 63
    7·2 answers
  • What is the volume of the composite figure?
    6·1 answer
  • What is the ratio for colored pencils to markers?<br> (last time, people got it wrong o. o)
    5·1 answer
  • Container A has a radius of 4 feet and a height of 7 feet. Container B has a radius of 3 feet and a height of 18 feet. Container
    11·2 answers
  • Find the area of each trapezoid or kite
    8·1 answer
  • Solve Px+17=12 for x
    5·1 answer
  • so, i' m doing my homework and i came across this question and i was confused...so can u please help me out, the person that giv
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!