Rewrite the expression using only positive integer exponents. (m2/3n-1/3)^5

Answers

Answer 1

When the expression (m²/³ n⁻¹/³)⁵ is rewritten, the equivalent expression is   ∛m¹⁰n⁻⁵

How to rewrite the expression?

From the question, the expression is given as

(m2/3n-1/3)^5

Rewrite the expression properly

So, we have the following representation

(m²/³ n⁻¹/³)⁵

Express the radicals as roots

So, we have

(m²/³ n⁻¹/³)⁵ = (∛m² ∛n⁻¹)⁵

Remove the brackets in the expression

This is done by multiplying the exponents

So, we have

(m²/³ n⁻¹/³)⁵ = (∛m¹⁰ ∛n⁻⁵)

Combine the roots

(m²/³ n⁻¹/³)⁵ = ∛m¹⁰n⁻⁵

Hence, the equivalent expression is  ∛m¹⁰n⁻⁵

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Answer 2

The required simplified expression is given as ∛[m¹⁰/n⁵].

Given that,
For an expression (m²/³n-¹/³)⁵ we have to deduce the function that the solution only consists of the positive integer exponents.

Here,
Rewriting the given expression,
= (m²/³n-¹/³)⁵
Simplifying the expression,
using the property, (xᵃ)ᵇ = xᵃᵇ
= m¹⁰/³n⁻⁵/³
= [m¹⁰n⁻⁵]¹/³
we imply cube root for the exponent 1/3.
= ∛[m¹⁰n⁻⁵]
= ∛[m¹⁰/n⁵]   (using the property x⁻¹ = 1 / x )

Thus, the required simplified expression is given as ∛[m¹⁰/n⁵].

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Related Questions

Door prizes for entrants in a young inventors competition are $100, $50, $25 and $10. In how many ways can the door prizes be awarded if there are 23 entrants?.

Answers

There are 212 520 ways that the door prizes can be awarded if there are 23 entrants

To solve this problem the formula and the permutation procedure we must use is:

nPr = n! / (n-r)!

Where:

nPr = permutationn = total number of objectsr = number of selected objects! = factorial of the number

Information about the problem:

n = 23 (entrants)r = 4 (prizes )23P4 =?

Applying the permutation formula we have:

nPr = n! / (n-r)!

23P4 = 23! / (23-4)!

23P4= 23! / 19!

23P4 = 23*22*21*20*19! / 19!

23P4 = 23*22*21*20

23P4 = 212520

What is permutation?

It is the ordered arrangement of members belonging to a set with no repeats.

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The impact of new entrants, new products, channel conflicts, and regulation would all be associated with the external opportunities and threats dimension of a SWOT website design analysis.

In summary, the impact of new entrants, new products, channel conflicts, and regulation are all factors that fall under the external opportunities and threats dimension of a SWOT website design analysis. 1. New entrants: When new companies enter the market offering similar website design services, it can increase competition and potentially affect the market share of existing website design businesses. This is an external threat as it poses challenges and risks to the current players in the industry. 2. New products: The introduction of new and innovative website design products can create opportunities for businesses to attract more customers and gain a competitive edge. This is an external opportunity that can be leveraged to improve market position.

3. Channel conflicts: Channel conflicts refer to conflicts or disputes that arise between different distribution channels. In the context of a SWOT analysis for website design, channel conflicts can impact how products and services are delivered to customers. For example, if a website design company relies heavily on a specific distribution channel and that channel experiences conflicts or disruptions, it can affect the company's ability to reach its target market. This is an external threat that needs to be considered.

4. Regulation: Regulations imposed by governing bodies can have a significant impact on website design businesses. For example, regulations related to data privacy, accessibility, or internet governance can affect how websites are designed and operated. Compliance with regulations is crucial to avoid penalties or legal issues. This is an external threat that businesses need to navigate.

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13+14=3×f;f=9 helppp

Answers

Answer: 3x=13+14

3x=27

x=27/3

x=9

Step-by-step explanation: Maybe.

Can someone help me with this?

Answers

Answer:

y = 77

Step-by-step explanation:

[tex]\frac{7}{3}[/tex] = [tex]\frac{y}{33}[/tex] ( cross- multiply )

3y = 7 × 33 = 231 ( divide both sides by 3 )

y = 77

The answer to this math question is 77

What is -2=-1+n/8? I’ve been stuck on it for a while

Answers

Answer: n= -8

Step-by-step explanation:

1. -2 = -1 + [tex]\frac{n}{8}[/tex]

2. -1 =      [tex]\frac{n}{8}[/tex]

3. -8 = n

Please Help Please ASAP

Answers

it is the bottom right graph

Super Painters cobra S1.00 por pie cuadrado más una tarifa adicional de $ 25.00 para pintar una sala de estar. Ifx representa el área de las paredes de la sala de estar de Francesca, en pies cuadrados, e y representa el costo, en dólares, ¿qué gráfica representa mejor el costo de pintar su sala de estar

Answers

Responder

y = x + 25

Explicación

El costo de pintar y, para pintar x pies cuadrados es $ 25 más $ 1.00 por pie cuadrado.

Entonces, si se van a pintar x pies cuadrados, la tarifa será

y = (1 × x) + 25

y = x + 25

¡¡¡Espero que esto ayude!!!

PLSSSSSS ANSWER SOON!!!!!!!
There is a pic
solve for P

Answers

Answer:

48x

Step-by-step explanation:

15+2+7+15+2+7=48 + x = 48x

Hope this helps!

what is Vivian's new account balance?

Answers

Answer: 218.65 US$

Step-by-step explanation: $187.56+$49.73= $237.29
237.29 US$- $18.64

Answer:

$218.65

Step-by-step explanation:

She starts with a balance of $187.56. When she deposits money she is adding to the account.

$187.56 + $49.73 = $237.29

When she spends money money is being subtracted from her account.

$237.29 - $18.64 = $218.65

Please help CORRET ANWSERS ONLY!

Answers

Answer:uhh

Step-by-step explanation:

18. An 80-pound grass seed mixture is 30% bluegrass seed. How many pounds of seed
containing no bluegrass seed (0%) should be added to the seed mixture for a resulting
blend that is 20% bluegrass seed? Construct a table, then solve.

Answers

Step-by-step explanation:

what table is your teacher taking about ?

in any case this is resistive easy to solve

80 pounds of 30% with x pounds of 0% result in 80+x pounds of 20% :

80×0.3 + x×0 = (80 + x)×0.2 = 80×0.2 + x×0.2

80×0.1 = x×0.2

x = 80×0.1/0.2 = 80/2 = 40 pounds

so, 40 pounds of 0% have to be added to the 80 pounds of 30% to get a mixture of 20% (80+40 = 120 pounds).

The lateral surface area of cone A is equal to the lateral surface area of
cylinder B.
A
2h
A. True
B. False

Answers

The lateral surface area of cone A is equal to the lateral surface area of

cylinder B. This is true.

How to illustrate the information?

Lateral area of cone is given by: πrl

where r is the radius and l is the slant height

Here r=r and l=2h

Hence, lateral area of cone A= π×r×2h =  2πrh

Lateral area of cylinder is given by: 2πrh

where r is the radius and h is the height

Lateral area of cylinder B=2πrh

Clearly, both the lateral areas are equal. Therefore, it's true.

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due in an hour pls help!!


just tell me where to put the points

Answers

   Translation is defined as an interpretation into another language or context. The Spanish word "bueno," which translates to "good," serves as an illustration. A translation can involve explaining to a parent the significance of their teen's expression.

What is the translational equation?  

The translation equation or formula is written as g(x) = f(x+k) + C.

Example

(x -3, y - 2)

x - 3 y - 2 ;

x-3 y-2

x-3y - 2

x² -  x - 6 =0

-x + 3 > 2x + 1

line(1, 2),(3 ,1)

f(x) = x³

prove tan²(x) - sin ²(x) = tan²(x) sin²(x)

d /dx(3x + 9/2 -x)

(sin²(0))

sin (120)

lim(x -> 0 (xln(x))

= 0 3/2n.

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On what day does frank first get charged an overdraft fee? a. wednesday b. thursday c. friday d. saturday

Answers

Frank first get charged an overdraft fee on Wednesday

Frank has $66.50 in his account as of Sunday.

He made a debit of $60.33 on Monday (66.50 - 60.33), leaving him with a balance of $6.17. He added $80.75 to the account on that same Monday (6.17 plus 80.75). He has $86.92 left over as of Monday.

Frank had a balance of $86.92 on Tuesday when he made a $54.45 debit (86.92 - 54.45). The remaining balance is $32.47.

Frank had a balance of $32.47 at the beginning of the day on Wednesday. He subsequently made withdraw of $49.20. debit(32.47 - 49.20). Frank has overdrawn and will be assessed an overdraft fee following the debit because his balance is -$16.73. Frank still has a negative balance even after making a deposit of $15.

Therefore, Frank was therefore assessed an overdraft fee on Wednesday.

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According to the rules of significant figures 7.898 + 5.23 = 13.13. This is because the least precise value in the problem is 5.23, which is precise only to the hundredths digit, so the answer must also be rounded to the nearest hundredths.True or False

Answers

The given expression is

[tex]7.898+5.23=13.13[/tex]

It's important to know that the rules of significant figures state that the resulting number of a sum of decimal numbers may have no more significant numbers than the least number of significant figures.

In other words, the answers can't be more precise than the least precise number in the sum.

Therefore, the given statement is true.

10) Find DF if LF = 2X - 8 and LD = X - 3 ​

Answers

Answer:

  DF = 4

Step-by-step explanation:

You want DF when L is the midpoint, LD = x-3 and LF = 2x-8.

Congruent segments

Segments DL and LF are marked the same, so are congruent. Using the given expressions, we have ...

  LF = LD

  2x -8 = x -3

  x = 5 . . . . . . . . add 8-x to both sides

Then the measures of the segments are ...

  LF = 2(5) -8 = 2

  LD = 5 -3 = 2

  DF = DL +LF = 2 +2 = 4

The length of DF is 4 units.

Determine the intercepts of the line:
y = 10x - 32

Answers

Answer:

The x intercept is 3.2, and the y intercept is -32.

Step-by-step explanation:

give brainiest

y-intercept is -32, x intercept is 3.2

Step-by-step explanation:

y-int is whatever b is in y=mx+b

x-int is whatever makes the equation equal to zero

the masses of 4 different animals from the zoo are shown in the table below. convert each measure to pounds. then sort the animals from least to greatest weight.
Animals: (mass kg)
brown bear: 272.16 kg
giraffe: 1,124.0 kg
lion: 226.8 kg
rhinoceros: 1,587.6 kg

Answers

1. When we convert each measurement to pounds, we have

Brown bear: 600 poundsGiraffe: 2478 poundsLion: 500 poundsRhinoceros: 3500.1 pounds

2. When we arrange from least to greatest, we have

Lion, brown bear, giraffe, rhinoceros

1. How to convert kilogram to pound

Coversion scale

1 kg = 2.20462

With the above scale, we can convert each measurement to pound as follow:

I. Brown bear

1 kg = 2.20462

Therefore,

272.16 Kg = 272.16 × 2.20462

272.16 Kg = 600 pounds

II. Giraffe

1 kg = 2.20462

Therefore,

1124.0 Kg = 1124.0 × 2.20462

1124.0 Kg = 2478 pounds

III. Lion

1 kg = 2.20462

Therefore,

226.8 Kg = 226.8 × 2.20462

226.8 Kg = 500 pounds

IV. Rhinoceros

1 kg = 2.20462

Therefore,

1587.6 Kg = 1587.6 × 2.20462

1587.6 Kg = 3500.1 pounds

2. How to arrange for least to greatest

Brown bear: 600 poundsGiraffe: 2478 poundsLion: 500 poundsRhinoceros: 3500.1 pounds

Thus, arranging from least to greatest, we have

Lion, brown bear, giraffe, rhinoceros

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Look at the table below. Which of the following is the constant rate of change?

Answers

Given data:

The first value of x is a=-16.

The first value of y is b=20.

The second value of x is c=-12.

The second value of y is d=15.

The expression for the rate change is,

x=(d-b)/(c-a)

Substitute the given values in thhe above expression.

x=(15-20)/(-12+16)

=-5/4

Thus, he constant rate of change is -5/4.

What number should be subtracted from both sides of the following equation to solve for x?x + 27 = 303027573

Answers

Step 1

Given;

[tex]x+27=30[/tex]

Required; To solve for x

Step 2

Add -27 to both sides

[tex]\begin{gathered} x+27-27=30-27 \\ x=3 \end{gathered}[/tex]

Answer; The number that should be subtracted from both sides of the equation is 27

You would minus 27 from both sides.

what is the size of the angle between south and south east

Answers

Answer:45°Step-by-step explanation:

The angle between north and south = 180°. The angle between East and South = 90°. The angle between South and West is 90° and between South and East is also 90°. So the sum of these two angles is equal to 180°. Since these two angles are adjacent to each other so they form a linear pair.

Provide an example and explain the steps to convert a fraction into a percent.

Answers

Fractions can be converted to percentages by multiplying by 100. ...
A fraction is one way of writing a division. ...
Convert 2⁄5 to a percentage. ...
Divide the numerator (2) by the denominator (5). ...
To convert 2⁄5 to a percentage, divide 2 by 5 and then multiply the result by 100.

Greg is at his house he gets in his car drives north 8. 9 miles and stops at a store then he turns around and drives south 7. 7 miles to his friends house how far is the friends house from Greg’s houses?

Answers

His friend's house is 1.2 miles away from his house.

How do you know his friend's house is 1.2 miles away from his house?

Well, the solution to this math problem is very simple. We just need to remove a number away from another. In other words, we only need to do some subtraction.

Subtraction is one of four main arithmetic operations in which we use to take away a number or an amount from another number or amount. Remember that the commutative law doesn't apply to subtraction, so we really need to be careful to pick what number is subtracted by the other number.

The distance from Greg's house to the store is 8.9 miles away. That's the number that is going to be subtracted. His friend's house is 7.7 miles away from the store. This is the number that we're going to subtract from the previous number. Mathematically, we can express this as:

8.9 - 7.7 = 1.2

We're left with 1.2, which is the distance in miles from Greg's house to his friend's house.

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For Point A (m,n) to fall in the correct quadrant, if the value of m is 6, the 6 would be
, and if the value of n is 3, the 3 would be

6 positive or negative
3 positive or negative

Here's the picture if you are confused I guess

Answers

6 must be negative and 3 is also negative

what is 4.5=m + 2.75

Answers

4.5 = m + 2.75

Solving for m:

Subtract 2.75 from both sides:

4.5 - 2.75 = m + 2.75 - 2.75

1.75 = m

m = 1.75

Photo plus charges $2 for each print plus a $6 processing fee. Picture time charges $3 for each print plus a $4 processing fee. for what number of prints is the price the same at both stores

Answers

I think the answer is 15 or 16.
I think the answer is 15 or 16.

ASAP please Hurry

The number of issues of books from a library are given for the years 2001–2011. The numbers are in hundreds of thousands.

Answers

Answer:

See attached graph.

Step-by-step explanation:

Use DESMOS graphing software.  Free.


[tex]10 \sqrt{3} - 4 \sqrt{48} - \sqrt{75} [/tex]
10v3-4v48-v75 help pld​

Answers

The most appropriate choice for surds will be given by-

[tex]-11\sqrt{3}[/tex] is the correct answer.

What are surds?

There are some natural numbers which are not perfect squares. Their square root are not natural numbers. Those numbers are called surds. The most important method for simplification of surds is prime factorization.

[tex]10\sqrt{3} - 4 \sqrt{48}-\sqrt{75}\\10\sqrt{3} - 4\sqrt{2\times2\times 2\times 2\times3}-\sqrt{3\times 5\times5}\\10\sqrt{3} - 4\times 2\times 2\sqrt{3} - 5\sqrt{3}\\10\sqrt{3} - 16\sqrt{3}-5\sqrt{3}\\-6\sqrt{3} - 5\sqrt{3}\\-11\sqrt{3}[/tex]

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2. What is the equation of a line that passes through the points (-0.92, 2.49) and (-5.62, 9.76)? Write your answer in point-slope form.​

Answers

Answer:

Step-by-step explanation:

-0.92 2.49

-5.62 9.76

Rise = 9.76 - 2,49 = 7.27

Run: -5.62 - (-0.92) = -4.7

Slope (Rise/Run) = (7.27.`-0.92) = -1.55

The line has the form:

y = 1.55x + b

We need to find a value of b that forces the line through both point, Use one of the points and solve for b. I'll use (-0.92, 2.49).

y = 1.55x + b

2.49 = 1.55(-0.92) + b

b = 2.49 - 1.426 = 1.064

The equation is y = 1.55x + 1.0

Triangle ABC is shown below, with the angle measures as marked.
What is the measure of Angle A and B?

Answers

The measure of Angle A and Angle B are 54° and 122° respectively.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In triangle ABC,

The measure of angle A = (n + 20)°

The measure of angle B = (3n - 10)°

The measure of angle C = n°

Now,

The sum of all the angles of the triangle = 180°

So, we can formulate;

(n + 20)° + (3n - 10)° + n° = 180°

Solve for n as;

n + 20 + 3n - 10 + n = 180

5n + 10 = 180

5n = 180 - 10

5n = 170

Divide by 5, we get;

n = 170/5

n = 34

Thus, The measure of angle A = (n + 20)°

                                               = 34 + 20

                                               = 54°

And, The measure of angle B = (3n - 10)°

                                             = 3 x 34 + 20

                                             = 102 + 20

                                             = 122°

Therefore,

The measure of Angle A and Angle B are 54° and 122° respectively.

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A normal distribution has = 32 and = 5.
(a) Find the z score corresponding to
x = 27.



(b) Find the z score corresponding to
x = 43.



(c) Find the raw score corresponding to
z = −3.



(d) Find the raw score corresponding to
z = 1.1.

Answers

a) z score corresponding to x = 27 is -1

b) z score corresponding to x = 43 is 2.2

c)  Raw score corresponding to z = -3 is 17.

d) Raw score corresponding to z = 1.1 is 37.5

Given,

Normal distribution with μ = 32 and σ = 5

a) z score corresponding to x = 27

z = (x - μ) / σ

Then,

z = (27 - 32) / 5 = -5/5 = -1

That is, z score corresponding to x = 27 is -1.

b) z score corresponding to x = 43

z = (x - μ) / σ

Then,

z = (43 - 32) / 5 = 11/5 = 2.2

That is, z score corresponding to x = 43 is 2.2

c) Raw score corresponding to z = -3

z = (x - μ) / σ

Then,

-3 = (x - 32) / 5

-3 × 5 = x - 32

-15 = x - 32

x = 32 - 15 = 17

That is, raw score corresponding to z = -3 is 17.

d) Raw score corresponding to z = 1.1

z = (x - μ) / σ

1.1 = (x - 32) / 5

1.1 × 5 = x - 32

x = 32 + 5.5 = 37.5

That is, raw score corresponding to z = 1.1 is 37.5

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