Express as a power of 2
(2/root8)^3

Answers

Answer 1

[tex]\left(\dfrac{2}{\sqrt 8} \right)^3\\\\\\=\left(\dfrac{2}{2\sqrt 2} \right)^3\\\\\\=\left(\dfrac 1{\sqrt 2} \right)^3\\\\\\=\left[\left(\sqrt2 \right)^{-1} \right]^3\\\\\\=\left(\sqrt 2 \right)^{-3}\\\\\\=\left(2^{\tfrac 12} \right)^{-3}\\\\\\=2^{-\tfrac 32}[/tex]


Related Questions

rail fares go up by 10%, and josie’s new season ticket to london costs £1342. calculate how much more she has to pay now than she did before the 10% increase was added

Answers

Answer:

£134.2 more

Step-by-step explanation:

Divide 1342 by 100

Then you get 13.42

Times that by 10 and £134.2 is 10%

simplify (5 cubed)to the power of 6 leaving your answer in index form

Answers

Answer:

I got up to 25 to the power of 6

Step-by-step explanation:

5 cubed is 25, Hope this leads you in the right direction

Which statement is a true conditional with a converse that is also true?


If an angle measures more than 90 degrees, then the angle is obtuse.

If x = 4, then x2 = 16.

If a figure is a square, then it is a quadrilateral.

If two angles are complementary, then the angles have a sum of 180 degrees.

Answers

The answer is the 3rd statement, if a figure is a square, it is a quadrilateral
That is true

WILL GIVE BRAINIEST IF YOU GET IT RIGHT PLEASE HELPP!!!
Translation: with the digits 1,2,3 you can form three-digit numbers like 123,231,312 ... determine the sum of all possible numbers

Answers

Answer:

d

Step-by-step explanation:

po ang tamang sagon po

Last month of the visitors at the zoo saw the panda. This month of the visitors at the zoo saw the panda. What fraction more of the visitors saw the panda this month? Simplify the answer if possible.

A. 1/12

B. 1/4

C. 1/6

D. 3/4​

Answers

Answer:

There is no way of finding out.

Step-by-step explanation:

6m in the ratio 7:3:5

Answers

Step-by-step explanation:

which one of the 3 categories represent the 6m ?

the 7 ? the 3 ? or the 5 ?

I suspect it is the 3 (the middle), because it is the only one working with 6 using only integer numbers.

you really have to be more careful about putting all relevant information here for a question.

so,

in general, we see that a "whole" set of distance types has 7 + 3 + 5 = 15 parts (in our case equally long distance segments).

the length of the first type (whatever it is) is 7 parts of the whole 15 parts. = 7/15

the length of the second type is 3 parts of the whole 15 parts (and we suspect this type to be 6m). = 3/15

and the length of the third type is 5 parts of the whole 15 parts. = 5/15

since we now know (or rather assume) that 6m = 3 parts, we can then calculate that 1 part of the 15 is 6/3=2m.

aha !

so then 7 parts are 2×7 = 14m.

and 5 parts are 2×5 = 10m

I guess that's what you needed to find, right ?

just to practice : what would it be, if 6m stands for the 7 ?

we still have the 15 parts of the whole.

but now 7 parts stand for 6m.

1 part is then 6/7m.

3 parts would then be 3×6/7 = 18/7m

5 parts would be 5×6/7 = 30/7m

you see now, why I think the 6m were meant for the 3 part category ?

the shown bellow question answer

Answers

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

Are of the given figure is ~

[tex] \boxed{ 50.28 \: \: cm {}^{2} }[/tex]

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

The area of the compound shape is equal to ~

Area of rectangle + Area of semi - circle

let's find the Area of rectangle ~

[tex]length \times width[/tex]

[tex]11 \times 4[/tex]

[tex]44 \: \: {cm}^{2} [/tex]

now, let's find the Area of Semicircle ~

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

[tex] \dfrac{3.14 \times 2 \times 2}{2}[/tex]

[tex]6.28 \: \: c {m}^{2} [/tex]

So, Area of the given figure is equal to ~

[tex]44 + 6.28[/tex]

[tex]50.28 \: \: cm {}^{2} [/tex]

what is the probability that a tabby is chosen as the second kitten when a black kitten was chosen as the first

Answers

0.5/1 it could be 50%

I need help with Goemetry. Can you help me with this?
Thank you.​

Answers

Answer:

1) (4,5.5) which is (4, 5 [tex]\frac{1}{2}[/tex])

Step-by-step explanation:

Graph it do the equation, (mx2+nx1 divided by  m+n  ,  my2+ny1  divided by m+n )

m being 1 and n being 5. Plug in the points and you get the answer to be, (4,5.5). So the answer is 1)

express \sqrt{3} - \frac{2}{\sqrt{3} } [tex]\sqrt{3} - \frac{2}{\sqrt{3} }[/tex]

Answers

[tex]\sqrt{3} - \frac{2}{\sqrt{3} } = \frac{3}{\sqrt{3} } - \frac{2}{\sqrt{3} } = \frac{1}{\sqrt{3} } = \frac{\sqrt{3} }{3}[/tex]

ok done. thank to me :>

Use the solution for the system to find x - y

3x - 2y = 10

2x + 3y = -2

Answers

Answer:

solution is (3,-1/2)

Step-by-step explanation:

Question 1

25 pts

What is the total cost to run the cookie shop when rent is $50.00, insurance is $50.00 and the cost

to make the cookies is $100.00?

O $50.00

O $100.00

O $200.00

O $4.00

Answers

Answer:

200

Step-by-step explanation:

50 for rent and 50 for insurance is 100 plus 100 to make them

pLS pls pls pls help me with this:((((((((((((
pls pls:((((((​

Answers

Answer:

4 = a

5 = a

hope this answer helps you dear!

Given: Circle A externally tangent to Circle B.

How many possible common tangents to circles A and B can exist?

2
3
4

Answers

there are only 2  possible common tangents to circles A and B can exist

ok done. Thank to me :>

Answer:

3

Step-by-step explanation:

Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality
on a number line.

Answers

Answer:

whats your equation?

Step-by-step explanation:

Ill edit my answer after.

Answer:

Step-by-step explanation: Sorry if im late

What is a set builder notation

Answers

Answer:

In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.

Step-by-step explanation:

For example, C={2,4,5} denotes a set of three numbers: 2, 4, and 5, and D={(2,4),(−1,5)} denotes a set of two pairs of numbers. ... Another option is to use set-builder notation: F={n3:n is an integer with 1≤n≤100} is the set of cubes of the first 100 positive integers.

Answer:

In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.

Step-by-step explanation:

No Explanation

Write the slope-intercept form for the line with a slope of 2 and a y-intercept of 12.


Answers

Answer:

y = 2x + 12

Step-by-step explanation:

8.If one sheet of paper is 2/5 cm thick, how thick is a packet containing 180 sheets of paper ?

Answers

Sheet=2/5cm
180/5=36
36*2=72cm
Packet is 72cm thick (0.72m)

Describe a pattern in the sequence then figure out the next 2 terms.

3, 11, 19, 27, ..., ...

Answers

Answer:

35, 43

Step-by-step explanation:

The pattern is that to obtain a term in the sequence , add 8 to the previous term, then

27 + 8 = 35

35 + 8 = 43

35 and 43 are the next 2 terms in the sequence

Answer:

35,43

Step-by-step explanation:

add 8 k so ya but ya and so on

Step functions

I don’t get what’s it’s trying to tell me to do not do I know where to begin

Answers

Answer:

[7.8] = 8

[0.75] = 1

...

Step-by-step explanation:

step function takes the value of the greatest integer

solve the equation -4x³=32​

Answers

Answer is X=-2 I hope this helps

Answer:

Step-by-step explanation:

- 4x^3 / (- 4) = 32 / (- 4)

x should and cannot be negative or it shouldn't be for example (- x) = 90

cubic root (x^3) = cubic root (- 8)

x = cubic root (- 8)

x = 2i

what is "i"?

It is an imaginary number as you cannot square, cubic, or whatever root with a negative in it. so instead you must add "i" to remove the negative as a replacement and indicator that it was a negative number.

Find the perimeter. Simplify your answer.

Answers

Answer:

2p -2

Step-by-step explanation:

To find the perimeter, add up all the lengths of each side of the rectangle.

Perimeter

= 2 +2 +p -3 +p -3

= 2 +2 -3 -3 +p +p

= -2 +2p

= 2p -2

solve step by step and explain
factorize
6(2a+3b)² - 8(2a + 3b)​

Answers

Answer:

Step-by-step explanation:

x-3y=-14
x-y=-2
substution method

Answers

Answer:

(4, 6 )

Step-by-step explanation:

x - 3y = - 14 ( add 3y to both sides )

x = - 14 + 3y → (1)

x - y = - 2 → (2)

Substitute x = - 14 + 3y into (2)

- 14 + 3y - y = - 2

- 14 + 2y = - 2 ( add 14 to both sides )

2y = 12 ( divide both sides by 2 )

y = 6

Substitute y = 6 into (1)

x = - 14 + 3(6) = - 14 + 18 = 4

solution is (4, 6 )

-28- 15 + 3
_________
8-(-2)

Answers

Answer:

-4

Step-by-step explanation:

First, you want to solve each equation.

-28-15+3

-43+3

-40

8-(-2)

8+2

10

Then divide.

-40÷10=-4

A aluminum bar 4 feet long weighs 24 pounds. What is the weight of a similar bar that is 3 feet 3 inches long?

A. 29.54 LBS

B. 3 LBS

C. 19.50 LBS

D. 78 LBS

Answers

Answer:

  C.  19.50 lbs

Step-by-step explanation:

3 feet 3 inches is nearly 4 feet, but is a little shorter. That means the weight of the bar will be nearly 24 pounds, but a little less.

It cannot be 29 or 78 pounds, because those weights are more than 24 pounds. It cannot be 3 pounds, because that weight is significantly less. The only viable answer choice is 19.50 pounds.

__

We assume the weight is proportional to the length. Then the weight (w) of the shorter bar will be ...

  w/39 = 24/48 . . . . . weight in pounds/length in inches

  w = 39(24/48) = 39/2 = 19.5

The weight of the shorter bar is 19.5 pounds.

A car agency shows a new car with a price of AED 45,000. The company predicted that the cost of the
car would depreciate 10% each year for three years and then depreciate 8% each year after that. Find
the value of the vehicle in 8 years.
HELP ME PLSSS

Answers

Answer:

$8640

Step-by-step explanation:

Step 1:

The total amount of the car currently is $45,000. The car depreciates by 10% for the next 3 years. Then multiply 3 to 45,000.

3 × 45,000 = 135,000

The price then decreases by 10%. So, find 10% of 135,000

[tex]10\% = \frac{10}{100}[/tex]

[tex]135000=\frac{135000}{1}[/tex]

[tex]\frac{10}{100}\times \frac{135000}{1}[/tex]

Cross cancel the zeros

[tex]\frac{10}{1}\times \frac{1350}{1}[/tex]

Multiply across

[tex]10\times1350 = 13500[/tex]

Therefore, for the three years, the cars price is now $13,500.

Step 2:

The next step is the same as the first one. But now the car currently is $13,500. And The car depreciates by 8% for the next years. We have to find the value in 8 years. Then multiply 8 to 13,500.

8 × 13,500 = 108,000

Now, find 8% of 108,000

[tex]8\% = \frac{8}{100}[/tex]

[tex]108000=\frac{108000}{1}[/tex]

[tex]\frac{8}{100}\times \frac{108000}{1}[/tex]

Cross cancel the zeros

[tex]\frac{8}{1}\times \frac{1080}{1}[/tex]

Multiply across

[tex]8\times1080 = 8640[/tex]

Therefore, the value of the vehicle in 8 years is $8640.

5 - 6 - 9 - 8 - 5 - 4 + 5 - 5 -5 -5 - 32 = ?

Answers

5 - 6 = -1

-1 - 9  = -10

-10 - 8 = -18

-18 - 5 = -23

-23 - 4  = -27

-27 + 5  = -22

-22 - 5 = -27

-27 -5 = -32

-32 -5  = -37

-37 - 32 = -69

Answer = -69

Combine Like Terms:

7X + 3M - 2(2X + 8) + 24 + 8M - X
so hard

Answers

Answer:

11M + 2X + 8

Step-by-step explanation:

Hope this helps!! :))

Answer:

11M + 2x + 8

I did the math

it rights tho

I do this do y'all can get extra point and complete challenges!
What is 1 + 1
(hey, it's 100 points, you can do it)

Answers

Answer:

1 + 1 is 2

Step-by-step explanation:

very hard question

Answer:

Step-by-step explanation:

1+1= 2

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