Simplify the expression, ((p^(-2)+1/p)^1 )^p, when p=3/4, in both radical and rational exponents forms.

Radical form: Rational exponent form:

this question requires two answers please

Answers

Answer 1

Answer:

(1/27)252^(3/4)(1/27)fourth root(252^3)

Step-by-step explanation:

The exponent of 1 can be ignored. This means we're simplifying ...

  [tex]\left(\left(\dfrac{3}{4}\right)^{-2}+\dfrac{1}{\left(\dfrac{3}{4}\right)}\right)^{3/4}=\left(\dfrac{16}{9}+\dfrac{4}{3}\right)^{3/4}=\left(\dfrac{28}{9}\right)^{3/4}\\\\=\left(\dfrac{28\cdot9}{3^4}\right)^{3/4}=\boxed{\dfrac{252^{3/4}}{27}}\qquad\text{rational exponent form}\\\\=\boxed{\dfrac{\sqrt[4]{252^3}}{27}=\dfrac{\sqrt[4]{16003008}}{27}}\qquad\text{radical form}[/tex]


Related Questions

PLEASE HELP PLEASEEE

Answers

Answer:

pointts Step-by-step explanation:

u

Answer:

d

Step-by-step explanation:

NO LINKS!!!!

Consider the following sequence 4, 8, . . .
a. Assuming the sequence is arithmetic:
i. Write the next four terms
ii. What is the generator?
iii. Write a formula for t(n).
iv. Create a table and graph your sequence.

b. Assuming the sequence is geometric:
i. Write the next four terms

ii. What is the generator?

iii. Write a formula for t(n).

iv. Create a table and graph your sequence

Answers

9514 1404 393

Answer:

  a. 12, 16, 20, 24; t(n)=4n

  b. 16, 32, 64, 128; t(n)=2·2^n

Step-by-step explanation:

a. The difference of the given terms is 8-4=4, so the arithmetic sequence has a first term of 4 and a common difference of 4. The general term has the formula ...

  t(n) = t(1) +d(n -1)

  t(n) = 4 +4(n -1) . . . . . with t(1) and d filled in

  t(n) = 4n . . . . . . . . . . simplified

This formula can be considered to be the generator of the sequence. For values of n from 3 to 6, the next four terms are ...

  t(3) = 12; t(4) =16; t(5) = 20, t(6) = 24

A table and graph are shown in the first attachment.

__

b. The ratio of the given terms is 8/4 = 2, so the geometric sequence has a first term of 4 and a common ratio of 2. The general term has the formula ...

  t(n) = t(1)·r^(n-1)

  t(n) = 4·2^(n-1) . . . . . . . with t(1) and r filled in

  t(n) = 2·2^n . . . . . . . . simplified

This formula can be considered to be the generator of the sequence. For values of n from 3 to 6, the next four terms are ...

  t(3) = 16; t(4) = 32; t(5) = 64; t(6) = 128

A table and graph are shown in the second attachment.

Help on this fast?? Thank you

Answers

The answer is 17.5 divide 70 by 4 that’s what u get them multiples 17.5 by 4 to check your answer

Answer:

The answer is 17.5 dollars an hour, if you were to divide 70 by 4 that is what you would get as a result.  

Step-by-step explanation:

Review

Directions: What does each of the following mean? Write out in words and phrases.

Example: 7 - 12 means: seven minus twelve

1. 11 + t

2. 7rst

3. t - 17

4. (10)(n)

5. 15 * y

6. 4x

7. a + b

8. 14x + 3y

Answers

Answer:

1. Eleven plus t

2. 7 times r times s time t

3. t minus seven

4. ten times n

5. fifteen times y

6. four times x

7. a plus b

8. fourteen times x plus 3 times y

Step-by-step explanation:

Hope this helps!

Answer:

1, eleven plus t

2, seven rst

3,t-17

........................

3. a. Which of the numbered angles are exterior angles?

b. Name the remote interior angles for each exterior angle.

C. How are exterior angles 6 and 8 related?

(Picture included) please help

Answers

[tex]⇒[/tex]

4, 5, 6, 7 & 8 are exterior angles.

Answer:

See answers below.

Step-by-step explanation:

Exterior angles are angles that form a linear pair with an angle of a triangle.

Remote interiors in a triangle are the angles that are not adjacent to an exterior angle of the triangle (meaning are not connected to the exterior angle)

A. Exterior angles are ∠8, ∠7, ∠5,  ∠4, and ∠6

B.   Remote interiors angles are :

      Looking at ∠6, the remote interior angles are ∠1 and ∠2

      Looking at ∠8, the remote interior angles are  ∠1 and ∠2

      Looking at  ∠5, the remote interion angles are ∠1 and ∠3

C.   ∠6 and ∠8 are vertical angles which are ≅ and equal.

write a linear function for the data in each table

Answers

Answer:

19. y=5x+-1

20. y=-2.5x+4

Step-by-step explanation:

19: 9-4=5

-1+5=4 so m=5

b=-1

so y=5x+-1

20: -1-1.5=-2.5

4+-2.5=1.5

so m=-2.5

b=4

so y= -2.5x+4

Please mark me brainliest

Lauren is going to invest in an account paying an interest rate of 3.4% compounded
annually. How much would Lauren need to invest, to the nearest cent, for the value of
the account to reach $13,000 in 8 years?

Answers

The answer would be 7615.7
Suppose x needs to be invested
So x.(1+3.4%)^8=13000
X. 1.034^8=13000
X=13000
———-
1.034.8
X= 7615.7

As an estimation we are told 5 miles is 8 km.
Convert 52.5 miles to km.

PLEASE HELP NO TIME FOR LINK!!!

Answers

Answer:

Step-by-step explanation:

52.5 mi(8 km/5mi) = 84 km

Which mixed number is represented by the shaded
area?
0 1 1/4
0 1 3/4
0 2 1/4
0 2 3/4
Hurry up plz I’m being timed

Answers

A. 1 1/4

Explanation: count all the orange boxes, the one is completely full which is all orange which is 1 and then there’s only 1 box filled on the second one

Hope this helps!

the answer to the question is 11/4

100 points if you answer - if it's correct ill give brainliest


(01.04 MC)The elevation of city A is 60 feet above sea level; the elevation of city C is 12 feet above sea level. The elevation of city D is 1 over 2 of the elevation of city C.


Part A: Write an expression to represent the elevation, in feet, of city D. (5 points)


Part B: Solve the expression and explain why the answer is negative or positive. (5 points)

Answers

Answer & Step-by-step explanation:

A = 60 ft

C = 12

D = 1/2 of C

1/2 of 12 = 6

Part A:

e = 6ft

Part B:

It's positive because it is above sea level

Answer:

Step-by-step explanation:

gg I got the points

Is the slope y=4/3x+2
(Just double checking) :)
(For linear equations)

Answers

Answer:

Yes it is 4/3

Step-by-step explanation:

HELP ME OUT PLEASE!!!!!!!

Which equation could represent the relationship shown in the scatter plot?​

A) y = -3x - 2

B) y = 9x - 1/2

C) y = -3/4x + 10

D) y = -2/3x + 1​

Answers

Answer:

option C is correct.

according to me..

hope it helpful for you.

the sum of twenty four and forty is nineteen more than a number. what is the number?



im struggling lol

Answers

The number is 45 because 24+40= 64 and the number you are looking for 19 is less than that sum. So 64-19= 45
“The sum of twenty four and forty is nineteen more than a number”
Answer = 45

Your parents decide to build a rectangular pool in your backyard. They determine that the length of the pool should be 15 feet longer than the width.

Answers

The area of the pool is the amount of space it occupies

The expression for the area and the perimeter are [tex]\mathbf{A = 15x + x^2}[/tex] and  [tex]\mathbf{P = 4x +30}[/tex], respectively

Let the dimension of the pool be x and y, where x represents width and y represents length.

So, the relationship between the width and the length is given as:

[tex]\mathbf{y = 15 + x}[/tex]

The area of the pool would be:

[tex]\mathbf{A = xy}[/tex]

Substitute 15 + x for y

[tex]\mathbf{A = x(15 + x)}[/tex]

Open bracket

[tex]\mathbf{A = 15x + x^2}[/tex]

And the perimeter of the pool would be

[tex]\mathbf{P = 2(x + y)}[/tex]

Substitute 15 + x for y

[tex]\mathbf{P = 2(x +15 + x)}[/tex]

[tex]\mathbf{P = 2(2x +15)}[/tex]

Open brackets

[tex]\mathbf{P = 4x +30}[/tex]

Hence, the expression for the area and the perimeter are [tex]\mathbf{A = 15x + x^2}[/tex] and  [tex]\mathbf{P = 4x +30}[/tex], respectively

Read more about areas and perimeters at:

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Problem 3: If a single six-sided die is rolled five times, what is the probability that a six is thrown exactly three times

Answers

Answer:

So the probability that a die thrown 5 times will result in a 6 exactly 3 times is 0.03215.

Step-by-step explanation:

HOPE IT HELPS I'M FILIPINO STUDENTS

solve pls brainliest

Answers

Answer:

Mixed number: 8.72=8 72/100

Improper fraction: 8.72= 872/100

Step-by-step explanation:

8 is in the ones place, 7 is in the tenths place, and 2 is in the hundreths place, which makes 8.72. In fractions, that would be 8 wholes, and 72/100, which is 8 72/100. After that, you can turn it into an improper fraction by doing 8x100, which is 800, then you add 72, which is 872. That makes 872 the numerator, and 100 the denominator, which makes 872/100.

Btw (I didn't simplify, as the problem states against it!)

Trey has bought 10 pounds of dog food. He feeds his dog
pounds for each meal. For how many meals will the food last?

Write your answer in simplest form

Answers

how many pounds does he feed his dogs for each meal?


A bag of marbles consists of 14 blue marbles and 7 red marbles. If you reach into the bag and choose 2 marbles,
what is the probability that they are both blue? Assume the first marble is not replaced.

Answers

Answer:

chances are 10.5

Step-by-step explanation:

megan feeds her dog 1/2 cup of food each morning and each evening. how much food does she feed him in a 7 day week

Answers

Answer:

7 cups

Step-by-step explanation:

1/2 * 2 times per day * 7 days per week = 7


20. True or False
When you multiply or divide
by a negative number, you
flip the sign

Answers

Answer:

That is true

You must flip the sign when you are multiplying or dividing by a negative number

The image of (-6,6) after a dilation by a scale factor of 5 centered at the
а

Answers

Answer is (24,-24)

Explanation:
Dilation centered at the origin multiplies each coordinate by the dilation factor.
image= 4(6,-6)
image= (24,-24)

whoever answers ets brainliest, 5 stars, and a thanks. pls help asap!

evaluate: (5/6 + 2/3) - (3/4 + 1/12)

answer as a fraction in simplest form

Answers

Given info:- Evaluate: [(5/6 + 2/3) - (3/4 + 1/12)] and find the Evaluated form = ?

Solution:-

Given fractional expression: [(5/6 + 2/3) - (3/4 + 1/12)]

Take the LCM of denominator 3 and 6 is 6.

Again take the LCM of denominator 4 and 12 is 12.

so,

⟼ [(5+4)/6 - (9+1)/12]

⟼ [9/6 - 10/12]

Now, take the LCM of the denominator 9 and 12 is 36.

⟼ [(54-30)/36]

Now, reduce the fraction by extracting and cancaling out with 2.

⟼ [24÷2/36÷2]

⟼ 12/18

⟼ 6÷3/9÷3

⟼ 2/3

Answer

Therefore, Evaluated form is 2/3.

Read more:

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Bạn dự định đi học thêm vào mùa hè này. Nếu đi học bạn sẽ không thể đi làm với thu nhập là 5 triệu đồng và không thể ở nhà nghỉ ngơi. Học phí là 2 triệu, tiền mua giáo trình 300 ngàn, sinh hoạt phí là 1.5 triệu. Hãy xác định chi phí cơ hội của việc đi học thêm vào mùa hè này.

Answers

Answer:

4 better inbox

Step-by-step explanation:

A restaurant has total of 60 tables . Of those tables , 38 are round and 13 are located by the window . There are 6 round tables by the window . If tables are randomly assigned to customers , what is the probability that a customer will be seated at a round table or by the window

Answers

Answer:

The probability that a costumer will be seated at a round table are 44/60 and the probability that he will be seated by the window is 13/60

The probability that a customer will be seated at a round table is  [tex]\frac{19}{30}[/tex]  and  by the window is [tex]\frac{13}{60}[/tex].

What is Probability ?

Probability is a ratio of the number of favorable outcomes to the number of possible outcomes of the experiment.

Probability [tex]=\frac{Number \ of\ outcomes}{Number\ of\ possible\ outcome}[/tex]

We have,

Total number of tables [tex]=60[/tex]

Number of round tables [tex]=38[/tex]

Number of tables located by the window [tex]=13[/tex]

Number of round tables located by the window [tex]=6[/tex]

Now,

Number of possible outcomes customer will be seated at a round table [tex]=38[/tex]

So,

Probability of seated at a round table [tex]=\frac{Number \ of\ outcomes}{Number\ of\ possible\ outcome}[/tex]

                                                                [tex]=\frac{38}{60}=\frac{19}{30}[/tex]

Now,

Number of possible outcomes customer will be seated by the window [tex]=13[/tex]

Probability  of seated by the window[tex]=\frac{Number \ of\ outcomes}{Number\ of\ possible\ outcome}[/tex]

                                                               [tex]=\frac{13}{60}[/tex]

So, probability that a customer will be seated at a round table is  [tex]\frac{19}{30}[/tex]  and  by the window is [tex]\frac{13}{60}[/tex].

Hence, we can say that the probability that a customer will be seated at a round table is  [tex]\frac{19}{30}[/tex]  and  by the window is [tex]\frac{13}{60}[/tex].

To know more about probability click here

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What is the sum of 4 of the interior angles of a regular octagon?

Answers

Answer:

540°

Step-by-step explanation:

inter angle vertex = 135°

135 + 135 + 135 + 135 = 540°

Jeremy flew 8 times last week for work. If each flight was 2 hours long, how much time did Jeremy spend in the air?

Answers

The number of hours Jeremy spent in the air is 16 hours.

How to find the number of hours he spend in the air?

He flew 8 times last week for work.

Each flight was two hours long.

Therefore, each flight, he spends two hours in the air.

Now he took this two hours flight for 8 times.

Therefore, the number of hours he spend in the air can be calculated as follows:

number of hours spent in the air = 8 × 2

number of hours spent in the air = 16 hours

Therefore, he spent 16 hours in the air.

learn more on hours here: https://brainly.com/question/14093155

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Sebastian is 3 years older than twice Amy's age. Sebastian is 33 years old. How old is Amy?

Answers

Answer:

15 years old

Step-by-step explanation:

You would have to create a equation. 2x+3=33, 2x=30, x=15.

Amy is 15

Sebastian is 33 so subtract 3 for the three years older part. Then divide that 30 by 2

33-3= 30. 30/2=15

Therefore amy is 15

On a cold February morning, the temperature of the radiator fluid in Stanley’s car is Negative 18 degrees Fahrenheit. When the engine is running, the temperature of the fluid goes up 5.4 degrees Fahrenheit per minute. Approximately how long will it take before the radiator fluid temperature reaches 60 degrees Fahrenheit? (HELPP)

Answers

It takes 14.4 minutes for the radiator fluid temperature to reach 60 degrees Fahrenheit

A function is said to be linear if it is a straight line graph and it can be represented by the equation:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the temperature in Fahrenheit of the radiator after t minutes.

Stanley’s car is Negative 18 degrees Fahrenheit. Hence b = -18. The  temperature of the fluid goes up 5.4 degrees Fahrenheit per minute. hence m = 5.4. The equation becomes:

y = 5.4x - 18

For the radiator fluid temperature to reach 60 degrees Fahrenheit:

60 = 5.4x - 18

5.4x = 78

x = 14.4 minutes

It takes 14.4 minutes for the radiator fluid temperature to reach 60 degrees Fahrenheit

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Solve each of the following equations. Show its solution set on a number line. Check your answers. |2(x-1)|=11

Answers

Answer:

Use the distributive property to multiply 2 by x−1.

l2x-2I=11

2x-2=-11

Add 2 to both sides of the equation.

2x=-9

Divide both sides by 2.

x=13/2

That's the final answer

Hope u have a great day!!

For a given two-digit number, the second digit is 2 more than 5 times the
first digit. Also, 5 times the first digit is 3 more than the second digit. Find
the two-digit number.

Answers

Answer:

no solution

Step-by-step explanation:

U=5t+2

5t=u+3

5t=5t+5

t=t+1

0=1

No solution

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