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

x+3-3= -6
its my quick hot sauce

Answers

ok nice answer…… well done

Out of the 25 students in Mrs. Green's class, 15 have a pet. What percent of the students in Mrs. Green's class have a pet?

Answers

You would divide 25 by 15
15/25= .6
Move the decimal two places right and the answer is 60% of the class has a pet.
This picture give a demonstration of how to figure that out, hope it helps!

What is the surface of this shape

Answers

Answer:

Find the area of all of the different shapes (2D)

and then add them up together to find the surface area.

3×2

6×2

6×2

5×3

6×3

1×3

1×4

1×4

4×3

Then you add them up together.

6+12+12+15+18+3+4+4+12=ANS.

18)Angel A and angle b are vertical angles so they are congruent angles. If angle A is (4x+5)° and angle B (-2(x-17.5))° Find the measure of angle B​

Answers

Answer:

Measure of Angle B = 25°

Step-by-step explanation:

Something to keep in mind: Angle A and B are Vertical Angles so they will always be equal

so;

Angle A = Angle B

(4x + 5) = (-2(x - 17.5))

4x + 5 = -2x + 35   (<= Solved by distributive property)

6x + 5 = 35

6x = 30

x = 5

Now we can find the measure of Angle B, by substituting x by 5 in the B equation;

-2 (x - 17.5) = Angle B

-2 (5 - 17.5) = Angle

-2 (-12.5) = Angel B

25 = Angle B

so measure of angle B = 25

Hope this helps!

Driveway pavers are 6 inches by 10 inches. If your driveway is 21840 square inches, how many pavers do you need for your driveway?

Answers

Answer:

364 pavers are needed.

Step-by-step explanation:

6 x 10= 60

21840/60= 364

Which triangles are similar?

Triangle A
34/
A
30
37
12
15
h
53
9
62
16
Triangle C
Triangle B
A. Triangles A and C
B. Triangles A, B, and C
C. Triangles A and B
D. Triangles B and C

Answers

Triangle A and C are same because the angles formed by all three sides are same in both triangles.

Hope it helps you....

Please mark as brainlliest!!!

What is 4% of 4% of 40,000? Show the working please.

Answers

Answer:

64

Step-by-step explanation:

4% of 40,000= 1,600

4% of 1600= 64

Answer:

64

Step-by-step explanation:

4% = 4/100=0.04

[tex](\frac{4}{100} )(\frac{4}{100} )(40000)=(0.04)(0.04)(40000)=64[/tex]

Hope this helps

A survey recently reported that the mean national annual expenditure for inpatient and outpatient services of all persons over 64 years of age was $5,423 with a standard deviation of $979. A random sample of 352 persons over age 64 living in Sudbury had an average expense of $5,516. We want to test whether the mean inpatient and outpatient expense of all Sudbury residents over age 64 is higher than the national average of $5,423. Calculate the P-value for this test.

Answers

Using the z-distribution, it is found that the p-value for this test is of 0.0375.

At the null hypothesis, it is tested if the expenses are the same as the national average, that is, of $5,423. Hence:

[tex]H_0: \mu = 5423[/tex]

At the alternative hypothesis, it is tested if it is higher, hence:

[tex]H_1: \mu > 5423[/tex]

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.

For this problem, the values of the parameters are: [tex]\overline{x} = 5516, \mu = 5423, \sigma = 979, n = 352[/tex]

The value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{5516 - 5423}{\frac{979}{\sqrt{352}}}[/tex]

[tex]z = 1.78[/tex]

The p-value is the probability of finding a sample mean above $5,516, which is 1 subtracted by the p-value of z = 1.78.

Looking at the z-table, z = 1.78 has a p-value of 0.9625.

1 - 0.9625 = 0.0375

Hence, the p-value for this test is of 0.0375.

A similar problem is given at https://brainly.com/question/25549474

(PHOTO) please help need this done by tomorrow thank you.​​

Answers

Answer:

x=9

Step-by-step explanation:

The purple expressions are equal because they are Z angles.

So solve

2x + 15 = 5x - 12

=>

15 + 12 = 5x - 2x

27 = 3x

x = 27/3 = 9

Amanda's parents invested $10,000 into a savings account for her college fund when she was born. The savings plan compounds interest yearly at a rate of 3.75%. How much money will be in Amanda's college fund when she turns 18? Round your answer to the nearest cent.

A. $20,652.19
B. $19,149.68
C. $20,146.75
D. $19,399.29

Answers

Answer:

D. $19,399.29

[tex] \: \: \: \: \: \: [/tex]

The difference of twice a number and 8 is greater than 17.
Use the variable x for the unknown number.

Answers

For the difference of a number and 3, you should do b-3 and twice that would be 2(b-3). For this to be at most -23, the inequality would be ≤. Thus,

2(b-3)≤-23

is the answer.

Answer:

2x-8>17

2x>25

x>12.5

The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers?

Answers

Step-by-step explanation:

the numbers : x, y

x + y = 65

x = y + 5

we use the second equation in the first equation :

y + 5 + y = 65

2y + 5 = 65

2y = 60

y = 30

x = y + 5 = 30 + 5 = 35

Where is the blue dot on the number line ?

Answers

Answer:

-12

Step-by-step explanation:

Since the segments go by 3, with each segment to the left I subtracted 3, so it was 0, -3, -6, -9, and then the blue dot stood on the segment -12, and that's your answer.

Tell me if I'm wrong :)

Answer: -12

Step-by-step explanation: The number line is going by 3's, so since the blue dot is 4 dashes away from 0 with the first dash being -3, that can only mean that the answer is -12.

Hope this helped and let me know if its correct!

-KC

Brice brought two 2-liter bottles of sport drink to serve at basketball practice. How many 100-milliliter servings of sport drink did Brice bring?
A

Answers

Answer:

20 servings of 100-milliliter sports drink

Step-by-step explanation:

PLS HELP
What is 3/4 of a penny in decimal form?

Answers

Answer:

0.75 cents or $0.0075

Step-by-step explanation:

3/4 = 75/100 = 0.75

0.75 of a penny or $0.0075 in dollars

pls mark brainliest if this helped :)

3/4 of a penny in decimal form is 0.75 of a penny or $0.0075 in dollars.

What is a penny?

The cent, the United States one-cent coin (symbol: ¢), usually named the "penny", exists as a unit of currency equaling one one-hundredth of a United States dollar.

During the colonial period, people utilized a variety of coins from other nations. A popular coin stood the British penny, which was the least amount of the British pound coin. That's why we call our cent a “penny.”

Given: 3/4 of a penny

3/4 = 75/100 = 0.75

0.75 of a penny or $0.0075 in dollars

To learn more about decimal points refer to:

brainly.com/question/15205491

#SPJ2

what would be the volume of the cone that has the same measurement as the cylinder above in the pic

do the working also ​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Volume of cone will be ~

[tex]\fbox \colorbox{black}{ \colorbox{white}{volume} \:  \:  \:   \:  \: \colorbox{white}{=}  \:  \:  \:   + \colorbox{white}{462 \: cm³ }}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's find the volume of cone with ~

radius (r) = 7 cm

height (h) = 9 cm

And as we know, volume of cone is equal to ~

[tex] \dfrac{1}{3}\pi {r}^{2} h[/tex]

now, let's plug in the values and find the volume ~

[tex] \dfrac{1}{ \cancel{3} }\times \dfrac{22}{\cancel{7}} \times \cancel{7 }\times 7 \times \cancel{9}[/tex]

[tex]1 \times 22 \times 7 \times 3[/tex]

[tex]462 \: \: {cm}^{3} [/tex]

Volume of cone is 462 cm³ = 462 ml

Adrienne biked 24 miles in 5 1/2 hours. If she biked at a constant speed, how many miles did she ride in one hour?

1. How can you solve this?

Answers

Answer:

4.36

Step-by-step explanation:

dividing the amount of hours by how many miles Adrienne went will give you how many miles she went per hour.

Equation:

a÷b

a=24

b=5.5 (5 1/2)

24÷5.5=4.36

H . E . L . P

this work is due tommorow, and i have absolutely no idea what the answer is. please help me if you can !


( don’t comment for points. )

Answers

Answer:

A) 25

B) 64

Step-by-step explanation:

Hope this helps :))

Step-by-step explanation:

x= 5

a) 5² = 5×5 =25

b) (5+3)² = 8²

= 8 × 8

= 64

I need some help it is to early for my brain to work

Answers

Answer:

5 minimum 32 maximum

Step-by-step explanation:

To get in shape for the upcoming track season two brothers, Scott and Brian, begin running home after school. Scott runs at a rate of 6 mph and Brian runs at a rate of 4 mph. If they leave school at the same time, Scott arrives home a half-hour before Brian. How long does it take Brian to get home from school

Answers

It takes Brian 1.5 hours to get home from school

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let d represent the distance from their school to the house and t represent the time (hours) it takes Brian to teach home.

For Brian:

4 = d/t

d = 4t

For Scott:

6 = d / (t - 1/2)

d = 6t - 3

4t = 6t - 3

2t = 3

t = 1.5 hours

Therefore it takes Brian 1.5 hours to get home from school

Find out more at: https://brainly.com/question/22889670

What is the length of CD, given that figure ABCD is a rectangle?
B
13
С
10
A
D
O A. 26
O B. 10
O C. 13
O D. 20

Answers

Answer:

It'll be B.10

Step-by-step explanation:

Rectangles always have 2 side lower than the other2 . BC and AD are same length so they are both 13. BA and CB are the same length to It has to be 10.

Hope this helps :)

The answer would be B. 10

Which is the best estimate of the product 3,780 × 2?

Answers

Answer:

8000

Step-by-step explanation:

What’s 19.50 simplified?

Answers

Answer:

39/2

Step-by-step explanation:

This is out of context

Answer:

1950/100

Step-by-step explanation:

Question 2
Which statement best explains
why the sum of the areas of the
two white squares in Figure 2 is
the same as the area of the white
square in Figure 1?

The combined area of the four triangles is equal to the area of the large white
square.
In each triangle, the length of side a plus the length of side b equals the length
of side c. That means that a? + b2 = c?.
In each figure the total area is equal and the area of the 4 triangles is equal, so
the remaining white area in each figure must also be equal.

Answers

Answer:

the third option

Step-by-step explanation:

that is actually the proof for Pythagoras :

both squares have the total area of (a + b)².

each of the triangles (4 in figure 1, 4 in figure 2) has the same area as the others : a×b/2

so, for figure 1

(a + b)² = 4×a×b/2 + c² = 2×a×b + c²

and for figure 2

(a + b)² = 4×a×b/2 + a² + b² = 2×a×b + a² + b²

2×a×b + c² = 2×a×b + a² + b²

c² = a² + b²

please help 368.9 − 234.78

Answers

Answer:

134.12

Step-by-step explanation:

Subtraction.

Tell me if you want a step by step.

Hope this helped. :)

After leaving his house, Nate drove fifteen minutes to take his oldest daughter to the middle school and then drove ten minutes to take his two younger daughters to the elementary school. Next, Nate drove twenty-five minutes to work. If Nate arrived at work at 9:30 a.m., what time did he leave his house?

A. 8:10 a.m.
B. 8:20 a.m.
C. 8:30 a.m.
D. 8:40 a.m.

Answers

Answer:

D. He left his house at 8:40 a.m

I say go with answer 8:20

Hey I just wanted to know if anyone could help me out with this, I really would love the help.

Thank you :)

Answers

Answer:

3x-6   A.

Step-by-step explanation:

I would glady help anyone.

You welcome.

The graph shows the distribution of the amount of time (in minutes) people spend watching TV shows on a popular streaming service. The distribution is approximately Normal, with a mean of 71 minutes and a standard deviation of 15 minutes.
A graph titled Streaming T V has time (minutes) on the x-axis, going from 11 to 131 in increments of 15. The highest point of the curve is at 71.
What percentage of people spend between 41 and 56 minutes watching TV shows on this streaming service?
a- 13.5%
b- 34%
c- 47.5%
d- 95%
answer:a 13.5

Answers

Using the normal distribution, it is found that the percentage of people spend between 41 and 56 minutes watching TV shows on this streaming service is:

a) 13.5%

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of 71, hence [tex]\mu = 71[/tex]The standard deviation is of 15, hence [tex]\sigma = 15[/tex]

The proportion between 41 and 56 minutes is the p-value of Z when X = 56 subtracted by the p-value of Z when X = 41, hence:

X = 56:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{56 - 71}{15}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.16

X = 41:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{41 - 71}{15}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.025

0.16 - 0.025 = 0.135

0.135 x 100% = 13.5%

Hence option a is correct.

A similar problem is given at https://brainly.com/question/25769446


JACK'S bag weighed 10.5
Pounds and William's bag
weighed 10.05 POUNDS.
Who's bag weighed more?
How much more did it
weigh?

Answers

Jack’s bag weighs more by 0.45 pounds.

STEP BY STEP EXPLANATION:
In 10.5, the 5 is closer to the decimal. The closer the number to the whole and period, the more value it has. The 5 in 10.05 is farther from the decimal so it's worth less.

10.5 subtract 10.05 = 0.45

2950 divided by 67 in partial quotints

Answers

Answer:

Math answers to fraction 2950 divided by 67 can be calculated as follows.

2950/67 math problems division = 44.0298507463. Therefore 44.0298507463 to 2 decimal places= 44.03

2950/67 divided by 2 » (2950/67) ÷ 2 » 44.0298507463 ÷ 2 = 22.0149253731 . Check 2950/67 long division below

Step-by-step explanation:

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