Simplify 4(3x^2y^4)^3 / (2x^3y^5)^4
show your work

Answers

Answer 1

Step by step solution :Step  1  :Equation at the end of step  1  : (((3•(x2))•(y4))3) 4•—————————————————— ((2x3•(y5))4) Step  2  :Equation at the end of step  2  : ((3x2 • (y4))3) 4 • ——————————————— 24x12y20 Step  3  : 33x6y12 Simplify ———————— 24x12y20 Dividing exponential expressions :

3.1    x6 divided by x12 = x(6 - 12) = x(-6) = 1/x6

Dividing exponential expressions :

3.2    y12 divided by y20 = y(12 - 20) = y(-8) = 1/y8

Equation at the end of step  3  : 27 4 • —————— 16x6y8 Step  4  :Final result : 27 ————— 4x6y8

Answer 2

The simplified expression is [tex]27/(16x^6y^8).[/tex]

We have,

To simplify the expression [tex]4(3x^2y^4)^3 / (2x^3y^5)^4,[/tex] we can simplify each part separately and then divide.

Let's simplify the numerator first:

[tex](3x^2y^4)^3 = 3^3 * (x^2)^3 * (y^4)^3 = 27x^6y^{12}[/tex]

Now, let's simplify the denominator:

[tex](2x^3y^5)^4 = 2^4 * (x^3)^4 * (y^5)^4 = 16x^{12}y^{20}[/tex]

Now we can divide the numerator by the denominator:

[tex](27x^6y^{12}) / (16x^{12}y^{20})[/tex]

To divide the variables with the same base, we subtract their exponents:

[tex]27/16 * x^{6-12} * y^{12-20}[/tex]

Simplifying further:

[tex]27/16 * x^{-6} * y^{-8}[/tex]

To make the exponents positive, we can move the variables with negative exponents to the denominator:

[tex]27/(16x^6y^8)[/tex]

Therefore,

The simplified expression is [tex]27/(16x^6y^8).[/tex]

Learn more about expressions here:

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Related Questions

Write the phrase as an algebraic expression:

The quotient of 15 and w less z.

Answers

Answer:

z>15+w

Step-by-step explanation:

Please answer quick its math

Answers

Answer:

A = bh

10.5 = .75h

h = 14 inches

What is the scale factor?

Answers

Answer:

3

Step-by-step explanation:

the second figure is 3 times larger than the first

3 because if you count the boxes or whatever the second scale is 3 times bigger then the first one

Help please quickly. please thanks you

Answers

Answer:

ok so you see the explanation you need to do the number by the numbertep-by-step explanation:

yuhhhhhhh

So you kind of need to see how much it takes like you add it to get the number Sooooo so I think it might be 10 am sorry if am wrong

7x + 1039 = 245x
Please help!

Answers

Answer:

x = 4.37

Step-by-step explanation:

7x + 1039 = 245x=> 1039 = 238x=> x = 4.36554621849 (Using calculator)=> x = 4.37 (Estimated)

Conclusion:

Therefore, x = 4.37.

Hoped this helped

[tex]GeniusUser[/tex]

Answer:

[tex]\frac{1039}{238}[/tex]

Step-by-step explanation:

7x + 1039 = 245x

Minus the smallest x from the largest.

1039 = 245x - 7x

1039 = 238x

Divide 1039 by 238x to find the x

[tex]\frac{1039}{238}[/tex] = x

I need an explanation on this on why it’s that answer, plz help thx✌I need help plzzzz

Answers

W = -4


A negative plus a positive always equals a negative.
W=-4


You want to isolate the w and in order to do that you have to do the opposing sign in order to move the positive three. So subtract three from both sides so it doesn’t change the value and -1+-3=-4

A proportional relationship between the number of pounds of potatoes x and the price in dollars y is graphed and the ordered pair 4, 3 is on the graphed line
Part a: what is the price of 1 pound of potatoes show your work
Part b: what does the ordered pair 8,6 on the graph represent? Explain in words.

Answers

Answer:

A proportional relationship between the number of pounds of potatoes (x) and the price in dollars (y) is graphed, and the ordered pair (4, 3) is on the graphed line. Part A: What is the price of 1 pound of potatoes? Show your work, including the proportion you used to determine the price. (8 points) Part B: What does the ordered pair (8, 6) on the graph represent? Explain in words. (2 points)

 

The point (4,3) means that 4 lbs. of potatoes = $3. Therefore, we have:

4 lbs / $3  = 1lb / x       cross-multiply

4x = 3      divide by 4

x = 3/4 dollars = $.75 per pound

 

The point (8,6) means that 8 lbs. of potatoes = $6.

 

 

Step-by-step explanation:

Hmm, What is the answer?


PLEASE HELP ME!!!

Answers

Answer:

y = kx.

Step-by-step explanation:

A proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.

Answer:k=yx

Step-by-step explanation:

6 first-year teachers and 4 experienced teachers attended a school staff meeting meeting. What percentage of the teachers in the meeting were first-year teachers?

Answers

60%
6 first year
4 experienced
add them = 10
since six are first year u get 60%
60%
if you add 6 and 4 together it would make 10 and 6 percent of 10 is 60%

a ÷ (2 + 1.5) for a = 14

answer the problem, this is 6th grade work

Answers

If you still need help, the answer may be 4
The answer is 4
2+1.5= 3.5
U substitute 14 in for a and the equation becomes 14/3.5 which equals 4.

193 miners need to ride the elevator to the bottom of the mine. The elevator can hold 7 miners at a time. How many miners will be in the elevator on its last trip?

Answers

Answer:

4

Step-by-step explanation:

193/7=27 with a remainder of four.

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

There are total of 193 mimers and each time the elevator can carry 7 miners, now divide the numbers and the remainder ww get gives the number of people left at last, that is also equal to the number of miners in the last trip since they are the last group among them.

[tex] \sf193 \div 7[/tex]

On dividing, we get quotient = 27 and remainder as 4

therefore, 28th trip will be the last trip carrying 4 miners.

I hope that helps ~

When should Estimation not be used?

A. When adding many numbers mentally

B. When subtracting large numbers mentally

C. when finding the exact amount

Answers

Answer: c

Step-by-step explanation:

C. when finding the exact amount

The total cost of renting a cement mixer is given by the graph below.

The total cost of renting a forklift is given by the equation y = 30x + 30.
Which item has a higher initial/starting fee that must be paid no matter how many days it is rented for in order to rent it?

Answers

Answer:

The cement mixer

Step-by-step explanation:

When x is 0 for the cement mixer, y is 40,

While when x is 0 for the forklift, y is only 40

Answer: Cement mixer

75x + 50 = 600
What is x

Answers

Answer:

x = 7.333

Step-by-step explanation:

75x + 50 = 600=> 75x = 600 - 50=> 75x = 550=> x = 550 ÷ 75=> x = 7.33

Conclusion:

Therefore:

x = 7.333

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

[tex]7\frac{1}{3}[/tex]

Step-by-step explanation:

So for this problem, we want to solve for x

75x + 50 = 600

First, we isolate x by subtracting 50 from both sides.

75x + 50 - 50 = 600 - 50

75x = 550

Then we divide both sides by 75 to find x

75*x/75=550/75

[tex]x=7\frac{1}{3}[/tex]

pls help me it due today

Answers

Answer:

[tex]3t - 8 = -5t\\\\6w / x + 9 = 6w / 9x\\ t^2 - 12w / x = t^2 - 12w\\5x - 2w + t = 5x - 2wt\\\\824 / 4 = 206\\360 / 9 - 22 = 16\\16.8 - 2.4 = 14.4\\9.85 * 4 = 39.4\\\frac{2}{3} / 12 = 0.055\\3 + 4 - 3 = 4[/tex]

Step-by-step explanation:

hope this helps.

Y = 4x + 9
What is the slope and the y-intercept?

Answers

Answer:

y=4x+9 is in the form y=mx+b , so the slope ( m ) is 4 and the Y-intercept ( b ) is 9

Answer:

m = 4b = 9

Step-by-step explanation:

We know that:

y = mx + by = 4x + 9

If we compare these two equations, we can find the slope and the y-intercept.

=> (y = mx + b) = (y = 4x + 9)

We can clearly see that 'm = 4' and 'b = 9'.

Conclusion:

Therefore:

m = 4b = 9

Hoped this helped.

27 percent of the class prefers barbecue chips 2 regular potato chips. If there are 100 students in the class how many students do not prefer barbecue chips

Answers

Answer:

73

Step-by-step explanation:

73% of the students do not prefer BBQ chips

Regina can purchase packets of tea in four sizes. Which size is the best buy?

9-lb packet for $12.75

2-lb packet for $4.34

7-lb packet for $9.45

4-lb packet for $6.26

PLZ help, i'm on a test

Answers

Answer:

7 lb for $9.45

Step-by-step explanation:

12.75 / 9 = 1.42

4.34 / 2 = 2.17

9.45 / 7 = 1.35

6.26 / 4 = 1.57

The lowest answer is 7 lb for $9.45

7 IB packet for $9.45, this was a question on my test and i got it right

which does not represent two equivalent expressions 51 MAFS.6.EE.1.1 Which does not represent two equivalent expressions?

A.) 33=3·3·3
B.) 43=4·3
C.) 64=6·6·6·6
D.) 52=5·5

Answers

Answer: B

Explanation: 4 times 3 is equivalent to 12 and the question was asking for exponents. A has 3 multiplied by itself 3 times so that is correct. C has 6 multiplying itself 4 times so that would be correct. D has 5 Multiplying itself 2 times so that would be correct. The only one that does not represent equivalency would be B.

Ahyoka has 250 CDs 10 percent are country,70 percent are pop, and the rest are hip-hop how many CDs are hip-hop?

Answers

Answer: their are 50 hip hop CDs

Step-by-step explanation: 10% of 250 CDs is 25CDs, so 20 % is 50 CDs and 70% is 175 CDs.

There are 50 hip-hop cds








What is the distance between the points? Round to the nearest tenth if necessary.

Answers

Answer:

1.7

Step-by-step explanation:

You do rise over run or y/x to find your answer. You go over 6 and up 10 to get from the lower point to the one on top. 10/6=1.666667 and rounded will be 1.7

If , what is the value of the expression ?
A.

B.

C.

D.

E.

Answers

Answer:

im pretty sure its 6

Answer: below

B: 6!

Step-by-step explanation:

Substitute the 8 for d evaluate:

4 + 2 = 4 + 8/2 = 4 + 4= 8

Answer:

[tex]\frac{4+d}{2} = \frac{4+8}{2} = \frac{12}{2} = 6[/tex]  

:)

GAME SHOW GET READY... WHOEVER ANSWERS CORRECT GETS BRAINLIST

Which expression gives the best estimate of 30 percent of 61?

1/5 (60)
1/10 (60)
1/4 (60)
1/2 (60)

Answers

Answer:

1/2 (60)

Step-by-step explanation:

Answer:

1/2 (60)

Step-by-step explanation:

Please plot this linear equation on a graph, and also explain how to plot it.
[tex]y=3x-7[/tex]

Answers

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day.

We can solve this equation in a single step, we just need a bit of theory and a graph.

We can first see that its in [tex]y=mx+b[/tex] form. Which is also known as Slope-Intercept form.

This means that we know the following.

[tex]b[/tex] is the y coordinate of the y intercept.[tex]m[/tex] is the slope of the line.

Since we know that, we can see that from our equation that the slope of the line is 3 and the y intercept is (0,-7).

Now that we've gotten that, we can start graphing.

The y intercept is -7 so we can plot (0,-7) as one of our points.

The slope of 3 means that we got up 3 units then right a single unit.

Therefore, another point could be (1,-4).

With our two points, we can create our graph by creating a straight line through those two points and therefore plotting our line.

Cheers!

Answer:

Step-by-step explanation:

y = 3x - 7 is a linear equation with y-intercept -7 (or    (0, -7)   ) and slope 3.  These two quantities are instantly readable from the equation.

There are several ways in which we may graph this equation.  One is to plot the y-intercept (0, -7)  Then choose an x-value, such as 3, and evaluate the function at that x value.  We see that y = 9 - 7, or y = 2, when x = 3. Then another point on the graph besides (0, -7) is (3, 2).  Plot (3, 2) and then draw a line through the two plotted points.

Here's another way:

The slope here is 3, or 3/1, which represents rise / run.  Plot (0, -7) as before.

Move your pencil from (0, -7) 1 space to the right and 7 spaces up.  Then plot a new point at that location.  Draw a line through (0, -7) and (1, 0).

ISSS THISSSSSS RIIGHTTTTTT

Answers

Answer:

It's A and C

Step-by-step explanation:

when you multiply by a fraction it's the same as dividing it by 2 or 4 in this case. which would make A and C much less and B and D.

your answer would be A and C

A.) 1/4 × 6,766 = 1,691.5

C.) 1/2 × 6,766 = 3,383

WILL GIVE BRAINLIEST LIKE FIVE HEARTS THE WHOLE SHEBANG

The graph shows how many bottles a machine caps in a certain number of seconds.


Part A

What is the constant of proportionality, and what does it mean in this situation?

Use the drop-down menus to show and explain your answer.

The constant of proportionality is

Choose...

; the machine caps

Choose...

bottles in

Choose...

.

Answers

I’m assuming that this is about how much the machine can cap so I would say bottles in.

Help plz:

11. Solve the following equations:
a. 5(x - 4) = 10
b. 2x(4x + 3x) = 21
c. 3(4 - 2x) = 28
d. 10x(2 + 13) = 300

Answers

a ) x is 6

b ) x is 1.5

c ) x is 16/6

d ) x is 2

Answer:

A is 10

B is 14

C is 6

I can't figure out D.

This is the best I got.

What is the absolute value? What symbol represents absolute value?

Answers

Answer:

Absolute value is the distance the number away is from 0. In simpler terms, if you had a -8 the absolute value is 8. I attached a picture of the absolute value symbols. The absolute value of a normal positive 8 is still 8 though because it's the same distance on a number line.

The most common way to represent the absolute value of a number or expression is to surround it with the absolute value symbol: two vertical straight lines. |6| = 6 means “the absolute value of 6 is 6.” |–6| = 6 means “the absolute value of –6 is 6.” |–2 – x| means “the absolute value of the expression –2 minus x

Tawny breaks apart 9 to
solve 9 X 5. Show one way
Tawny can do this. Then solve the problem.

Answers

Start with breaking apart 9:

5+4

Multiply 5 by the first addend (5)
Then multiply 5 by the second addend (4)

Then add you should have 25 and 20

You then add those 2 to get an answer of 45

Answer^

Point Q is plotted on the coordinate grid. Point P is at (20, −30). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q?

"On a coordinate grid from negative 50 to positive 50 in increments of 10, Point Q is plotted at the ordered pair negative 40, negative 30."/>
On a coordinate grid from negative 50 to positive 50 in increments of 10, Point Q is plotted at the ordered pair negative 40, negative 30.

Point R is at (−40, 30), a distance of 60 units from point Q
Point R is at (−40, −10), a distance of 20 units from point Q
Point R is at (−40, −30), a distance of 60 units from point Q
Point R is at (−40, 10), a distance of 20 units from point Q

Answers

Answer:

Point R is at C

Step-by-step explanation:

Answer:

answer 2 is the correct one!

Point R is at (−40, −10), a distance of 20 units from point Q

Hope this helps!

Please mark this brainliest

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