((2ab)/(a ^ - 5 * b ^ 2)) ^ - 3 Which is the simplified form Assume a ne0 b ne0

((2ab)/(a ^ - 5 * B ^ 2)) ^ - 3 Which Is The Simplified Form Assume A Ne0 B Ne0

Answers

Answer 1

Answer:

The correct options is (a)

Answer 2

The simplified form of the given expression (2ab/a⁻⁵b²)⁻³ is b³/8a¹⁸. The correct answer is option A.

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given as follows:

(2ab/a⁻⁵b²)⁻³

= [(2ab) / (a⁻⁵b²)]⁻³

Use the negative exponent rule: a⁻ⁿ = 1/aⁿ and simplify the denominator

= [(2a.a⁵b) / (b²)]⁻³

Combine the coefficients 1 and 5 to get

= [(2a⁶) / (b)]⁻³

= 1/[(2a⁶) / b]³

= 1/[(2a⁶)³ / b³]

Cube the resulting expression to get

= b³/8a¹⁸

Therefore, b³/8a¹⁸ is the simplified form of (2ab/a⁻⁵b²)⁻³.

Hence, the correct answer is option A.

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Related Questions

What is the length of a leg of an isosceles right triangle whose hypotenuse measures 6 inches?

A right triangle is shown. The hypotenuse has a length of 6. The lengths of the other 2 sides are a.

Let c represent the value of the hypotenuse. If the hypotenuse is c = aStartRoot 2 EndRoot, then 6 = aStartRoot 2 EndRoot. In inches, what is the value of a?

3
3 StartRoot 2 EndRoot
6
3 StartRoot 2 EndRoot

Answers

Answer:

B

Step-by-step explanation:

took assignment

The measure of equal sides of an isosceles right triangle is 3√2.

Given that, the isosceles right triangle whose hypotenuse has a length of 6 inches. The lengths of the other 2 sides are a inches.

By using Pythagoras theorem, we get

6²=a²+a²

2a²=6²

2a²=36

a²=18

a=±√18

a=±3√2

Therefore, the measure of equal sides of an isosceles right triangle is 3√2.

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write a sentence to compare the two points shown on the number line

-2.7 and 4.5

Answers

4.5 has a greater value than -2.7.

Find the volume of the sphere. Either enter an exact answer in terms of pi or use 3.14 for pi and round your final answer to the nearest hundredth.

The radius is 7

Answers

Step-by-step explanation:

Volume = 4/3 × [tex]\pi[/tex] r³

Volume = 4/3 × 3.14 × 7 × 7 × 7

Volume = 1436.03 cm³

The volume of the sphere with a radius of 7 units is 457.33π cubic units

Volume of a sphere

A sphere is a solid 3-dimensional figure. The volume of a sphere is expressed as:

V = 4/3πr^3

where:

r is the radius of the sphere:

Given the following

r = 7 units

Substitute the given parameters

V = 4/3(π) * 7^3

V = 4/3 * π * 343

V = 1372π/3

V = 457.33π cubic units

Hence the volume of the sphere with a radius of 7 units is 457.33π cubic units

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someone please help fast I will mark as brainelist

Answers

Answer:

1.economics 2.endangered species 3. environmental  impact statement

Step-by-step explanation:

sry if its wrong i did it really fast

Please answer correctly !!!! Will mark brainliest !!!!!!

Answers

Answer:

-12

Step-by-step explanation:

-6 f(-3) - 5 g(-7)

f(-3) is the value of the function at -3

f(-3) = -3

g(-7) is the value of the function at -7

g(-7) = 6

-6 (-3) - 5 *6

18 - 30

-12

In Albany, NY, the morning temperature was -20 degrees Fahrenheit. The
high temperature for that day was 2 degrees Fahrenheit. What was the
difference between the high and low for that day?


A: -22
B: 22
C: -18
D:18​

Answers

Answer:

-18

Step-by-step explanation:

-20 - 2/ -20 + 2 = -18

Answer:

Step-by-step explanation:

-18

An accountant used to charge $30 per hour, but recently decided to charge 20% less. Now how much does she charge per hour?

Answers

$24

Step-by-step explanation:

Answer: 24

Step-by-step explanation: First you have to find out what 20% of 30 is. Then you subtract that 20%(6) from thirty giving you the answer of 24

Which expression gives the distance between the points (1, -2) and (2, 4)?

Answers

Answer: D

Step-by-step explanation:

The expresion of distance is [tex]d=\sqrt{(x_1-x_2)^2 +(y_1 -y_2)^2}[/tex]

Calculate the area of the rectangle with a base of 15 inches and and an altitude of 7 inches

Answers

Answer:

a

Step-by-step explanation:

it hs explanasion

if i have 1000 dollars and use all of it to buy a lot of Pokemon card packs that cost 4.12$ each.

How many packs will i have

Answers

Answer:

See answer below

Step-by-step explanation:

You could buy 242 packs but not enough to buy 243 because you can't have half of a pokemon card

Hope this helps :)

Answer:

242

Step-by-step explanation:

That is a lot

The volume of a cylinder is 4,320(pi) ft?. The diameter is 24 ft. What is the height of the cylinder?
30 ft
7.5 ft
12 ft

Answers

ANSWER

the height is 30 ft

Find x round to the nearest tenth

Answers

Answer:

x = 17.9

Step-by-step explanation:

tan theta = opposite side/ adjacent

tan 40 = 15 /x

x =  15 / tan 40

x =17.87630389

To the nearest tenth

x = 17.9

what is 8% of 1,000?

URGENT!! :(

Answers

Answer:

Step-by-step explanation:

8% of 1,000 is 80

if you multiply 1000 by the decimal form of 8% (0.08) you will get 80

1,000*0,08=80

Answer:

the answer is 80.

Step-by-step explanation:

Multiply 0.08 with 1000

Please help me !!!!! I’ll mark the brainliest

Answers

Answer:

Step-by-step explanation:

Answers:

1: Yes, a polynomial (I'm going from left to right top to bottom)

2:  Yes, a polynomial

3. Yes, a polynomial

4. Yes, a polynomial

5. No, not a polynomial

6. No, not a polynomial

Sorry this took so long!

SOMEONE PLEASEEEE HELP MEE will mark you brainliest

Answers

A.
Multiple the vector points by 2

The line graph shows the number of goals scored
by a team in 18 games.

a) In how many games were zero
goals scored?
Number of games

b) Altogether, how many goals did
the team score in the 18 games?

c)What was the median number
of goals that the
team scored?​

Answers

Answer:

a) 1 game

b) 41 goals

c) median = 2

Step-by-step explanation:

a)

As we can see in the line graph, where we have the 0 for the number of goals scored, the graph indicates only 1 in the number of games, so we have only 1 game where no goals were scored.

b)

To find the total number of goals scored, we multiply the goals scored by the number of games for that score, and then sum them all:

total goals = 1*0 + 4*1 + 5*2 + 6*3 + 1*4 + 1*5 = 41 goals

c)

To find the median, we put all the goals in crescent order, and then find the value in the middle. As we have 18 games, the middle value will be an average of the 9th and 10th terms.

We have 1 number 0, 4 numbers 1 and 5 numbers 2 in the beginning, so for these 10 numbers, the 9th and the 10th are the score 2, so the median is 2.

Answer:

Step-by-step explanation:

its d

The equation of a circle is given below: (x - 0.5) + (y - 3.5)=16 what is it’s center and radius

Answers

Circle equation: (x - h) + (x - k) = r²

(h, k) = center

r = radius

The center (0.5, 3.5)

To find the radius, take the square root of 16.

√16 = 4

The radius is 4.

Best of Luck!

A particle traveled the distance of 6.6×[tex]10^{-19}[/tex] meters a a rate of 3.3×[tex]10^{-34}[/tex]. If distance equals rate times time, how many seconds did it take the particle to travel the specified distance?
A. 5.0x[tex]10^{14}[/tex] seconds
B. 2.0x[tex]10^{15}[/tex] seconds
C. 2.0x[tex]10^{-53}[/tex] seconds
D. 5.0x[tex]10x^{-53}[/tex] seconds

Answers

Answer:

Distance (D) equals rate (R) times time (T): D = R x T

=> T = D/R = 6.6 x 10^-19/(3.3 x 10^-34) = 2 x 10^15 (m)

=> Option B is correct

Hope this helps!

:)

2. If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet

per second, then its height h after t seconds is given by the equations h(t) = -16° +128t (if air

resistance is neglected).

a. How long will it take for the rocket to return to the ground?

b. After how many seconds will the rocket be 112 feet above the ground?

C. How long will it take the rocket to hit its maximum height?

d. What is the maximum height?

Answers

Answer:

a. 8 seconds.b. 1 second and 7 seconds.c. 4 seconds.d. 256 feet.

Step-by-step explanation:

The given function is

[tex]h(t) = -16t^{2}+128t[/tex]

The image attached shows the trajectory of the rocket in a height-time graph. Notice that the maxium point reached is (4, 256), which means after 4 seconds, the rocket has a maximum height of 256 feet. (c) and (d)

Additionally, a parabola is symmetrical, which means it takes the same time going up or down, therefore the rocket reaches the ground after 8 seconds. (a)

Now, when the rocket is 112 feet above the ground, we have

[tex]112 = -16t^{2}+128t[/tex]

Where we need to solve for [tex]t[/tex]

[tex]0 = -16t^{2}+128t-112[/tex]

Using a calculator, we have the solutions [tex]x_{1}= 1[/tex] and [tex]x_{2}=7[/tex], which means after 1 second and 7 second, the rocket is 112 feet above the ground. (b)

The smallest hummingbird is the Bee hummingbird. It has a mass of about 1
1
2
grams. The mass of a larger type of hummingbird is about 5 times the mass of the Bee hummingbird.

Answers

This question is incomplete and has not be written correctly.

Complete Question:

The smallest hummingbird is the Bee hummingbird. It has a mass of about 1 1/2 grams. The mass of a larger type of hummingbird is about 5 times the mass of the Bee hummingbird.

What is the mass of the larger humming bird?

Answer:

7 1/2 grams

Step-by-step explanation:

The mass of Bee humming bird is given in the question as = 1 1/2 grams

Mass of the larger humming bird = 5 times the mass of Bee humming bird

The mass of the larger humming bird is calculated as:

5 × 1 1/2 grams = 5 × 3/2 grams

= 15/2 grams = 7 1/2 grams

Therefore, the mass of the larger humming bird is 7 1/2 grams

Select the grid that represents the ratio 3/5. Then find a percent equivalent to the given ratio. We

Answers

Answer:

60%

Step-by-step explanation:

I'm not sure about the grid (as you didn't attach any images), but I can help with the percentage part. To convert a fraction into a percentage, all you have to do is multiply the fraction by 100. When we do this, we get 3/5*100 = 60%.

Another way to think about it is to rewrite 3/5 so that it's denominaor is 100. We can mutiply the fraction by 20/20 which gives us 60/100. Note that this doesn't change the original fraction because 20/20 is equal to 1. Then, you simply take the numerator as the percentage. In this case, the numerator is 60, so the percentage will be 60%.

Hope this helps!

Which one of these is the correct unit of measurement in finding volume?

Group of answer choices

square centimeter

cubic meter

inch

feet cubic

Answers

Answer:

feet cubic

Step-by-step explanation:

Answer:

the last one, feet cubic

Step-by-step explanation:

Use the triangle to evaluate each function.
sin(A) =
tan(A) =
sec(A) =

Answers

Answer:

sin (A) = opposite / hypotenuse = BC / AB = 3/5

tan (A) = opposite / adjacent = BC / AC = 3/4

sec (A) = hypotenuse / adjacent = AB / AC = 5/4

Step-by-step explanation:

Part I

sin(A)= 3/5

tan(B)= 3/4

sec(A)= 5/4

Part II

B. cot(B)

Step-by-step explanation:

Help please my brain hurts

Answers

Answer:

Do it yourself

Step-by-step explanation:

33 is the answer I hope it helped you!!!

Help will be appreciated

Answers

Answer:

50.24 cubic feet

Step-by-step explanation:

Diameter = 8 feet

Radius (r) = 8/2 = 4 feet

Height (h) = 3 feet

[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{3} \times 3.14 \times {4}^{2} \times 3 \\ \\ = 3.14 \times 16 \\ \\ = 50.24 \: {feet}^{3} [/tex]

The area of a room is 55.929 square meters. If its width is 5.43 meters, what is its length

Answers

Look at the attached picture

Hope it will help you...

25. In the diagram, CT = 10.
What is the length of AB?

Answers

Answer:

The length of AB is 4.33012701892

Step-by-step explanation:

1. You find 10*sin(60 degrees), because sin(60 degrees) =  x/CT, and CT = 10. That means that sin(60 degrees) = x/10. You multiply by 10 on both sides, which would mean that x = 10sin(60 degrees) and that AT = 8.66025403784 because x is AT.

2. Then, because the relation between AT and AB and Angle T is sine, you use cosine to find x. If you do that, you find that the equation is sin(30 degrees) = x/8.66025403784. That means that 8.66025403784*sin(30 degrees) = x. If you calculate that, you find that x = 4.33012701892, and AB is x.

I think it’s 5 according to the 30,60,90 degree rule

Louise spins the spinner twice. What is the probability of spinning first orange and then blue?

Answers

It depends on what the portion is for orange and blue, you will need to put a picture

If the area of a circle is 25 pi, find the length of an arc with a central angle of 240? Any help is appreciated please.

Answers

Answer:

11.81pi

Step-by-step explanation:

r^2=25pi

r=8.86

length=2pi(8.86)(240/360)

=17.72pi(2/3)

=11.81pi

What is the arc length of arc ABC in red? You may use 3.14 to estimate an
answer or the letters pi

Answers

you got this I believe in you

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