Mathematics Middle School

Which expressions are equivalent to k^{^{\scriptsize -\dfrac{1}{6}}}k − 6 1 ​ k, start superscript, start superscript, minus, start fraction, 1, divided by, 6, end fraction, end superscript, end superscript ? Choose all answers that apply: Choose all answers that apply: (Choice A) A \sqrt[6]{k^{-1}} 6 k −1 ​ root, start index, 6, end index (Choice B, Checked) B \dfrac{1}{k^6} k 6 1 ​ start fraction, 1, divided by, k, start superscript, 6, end superscript, end fraction (Choice C) C \left(k^{-1}\right)^{^{\scriptsize\dfrac{1}{6}}}(k −1 ) 6 1 ​ left parenthesis, k, start superscript, minus, 1, end superscript, right parenthesis, start superscript, start superscript, start fraction, 1, divided by, 6, end fraction, end superscript, end superscript (Choice D) D

Answers

Answer 1

Options

\(A)\sqrt[6]{k^{-1}}\\(B)\dfrac{1}{k^6}\\(C)\left(k^{-1}\right)^{^{\scriptsize\dfrac{1}{6}}}\\\)

Answer:

\((A)\sqrt[6]{k^{-1}}\\(C)\left(k^{-1}\right)^{{1/6}}\)

Step-by-step explanation:

Given the expression \(k^{^{-\dfrac{1}{6}}}\) , we apply the following rule of indices to obtain equivalent forms.

Negative Exponent Rule: \(a^{-m}=\dfrac{1}{a^m}\)Fractional Exponent Rule:  \(a^{1/m}=\sqrt[m]{a}\)

Therefore:

\(k^{-1/6}=(k^{-1})^{1/6}\)

This is Option C,

If we simplify further, we obtain:

\(k^{-1/6}=(k^{-1})^{1/6}\\=\sqrt[6]{k^{-1}}\)

This is option A.

Therefore, Options A and C are equivalent to the given expression.

Related Questions

Need help asap
20 points

Need help asap20 points

Answers

Answer:

Caroline earns more money working for the smiths

Step-by-step explanation:

Btw this answer is only worth 10 points.

Answer: Caroline earns more money with the smiths

Step-by-step explanation:

Smiths: 6.50 per hour

Nelsons: 6.25 per hour

now that you have this data it is supposed to be self- explanatory.

Hope this helps!!

\(\sqrt[n]{x} x^{2}\)

Answers

this is the answer simplified
[tex]\sqrt[n]{x} x^{2}[/tex]
This is it simplified
[tex]\sqrt[n]{x} x^{2}[/tex]

Which equation, when solved, results in a different value of x than the other three?
7 3
3-4
= 20
37
4+x= -20
-
001
x-
3
= 20
نا انا
(9) -8 -201-4)

Answers

how you wrote it makes no sense. do you have a picture of it?

Help ASAP pls -screenshot-

Help ASAP pls -screenshot-

Answers

Number 1 is .6 (60 in total and 40 are not red so 30/50=.6)

Number 2 is 40% because 8/20=0.4

I’m almost 100% sure this is right but i could be wrong
The answers to the questions should be
1. 0.6
2. 40%

A 4-pound bag of potatoes costs $3.79. What is the unit price, rounded to the nearest cent?

Answers

Answer:

I d k if your talking about rounding but I think it is

$4.00

Don't get mad if i am wrong

I just round .79 to the nearest bill.

Step-by-step explanation:

Answer:

0.95

Step-by-step explanation:

What is 3(x + 4)? I don't understand this.

Answers

Answer:

3x+12

Step-by-step explanation:

This is distributive property

So you multiply by 3 with the numbers inside the parenthesis

3 times x is 3x

3 times 4 is 12

So the answer is

3x+12

Answer:

3x+12

Step-by-step explanation:

Distribute(multiply) the 3 to the numbers in the parenthesis and the variable.  

I need help, please and thank you!

I need help, please and thank you!

Answers

The answer is c, when he combined 0.96 and 0.75 they are not like terms. The 0.75 has a y attached to it

Answer:

The answer is C.

Step-by-step explanation:

Everything that Dominic was doing was correct up until step number 4. He added 1.5 and 0.75y. He shouldn't have done that because those numbers do not have like terms. He should have combined 1.5 and -0.96 which would give him 0.54. Leaving us with the actual answer being 0.54 + 0.75y.

Write an ordered pair for the point in Quadrant 4 that is 4 units away from point S (-1.5, -2.5) on the coordinate plane.


Whoever gets it right first will get brainliest!

Also please include an explanation with your work

thank u
:-)

Answers

Answer:

(2.5, -2.5)

Step-by-step explanation:

I think that's right. Quadrant IV is when there is a positive x and negative y. And I had to make it 4 units away so I added 4 to -1.5 and got 2.5.

Answer:

(2.5, -2.5)

Step-by-step explanation:

9. Expand using identites.
1) (3/2 m - 5n) (3/2 m + 5n)

Answers

Answer:

(3/2 m)^2 -(5n)^2^

Step-by-step explanation:

9. Expand using identites.1) (3/2 m - 5n) (3/2 m + 5n)

Answer: 9m^2 / 4  -  25n^2

Step-by-step explanation:

Use the identity: (a-b)(a+b)=a^2 - b^2
substitute values of a and b, where a=3/2m and b=5n.
The following simplifies to (3/2m)^2 - (5n)^2.

Explain why each non-zero integer has two square roots but only one cube root.

Answers

It’s like this bc the possible solutions for square roots could be either (example: 4 squared or (-4) squared as for cubic negative times a negative already makes a positive making the third time negative again

BRAINIEST PLEASE
It takes a lot of money to know this

What is 12% of 150? I need this quick 30 POINTS

Answers

Answer:

12% of 150 is 18

Step-by-step explanation:

You have to do 12 divided by 100 x 150 which will equal 18. Hope this helps! : )

Answer:

\( \frac{12}{100} \times 150 \\ \frac{12}{2} \times 5 \\ 6 \times 5 \\ = 30\)

Find the value of: 24/25 divided by 4/5

Type mixed numbers like this: WholeNumber numerator/denominator

type the whole number then a space...then type the numerator, a slash, and the denominator WITH NO SPACES between each part.
Type fractions like this: numerator/denominator

type the numerator, a slash, and the denominator WITH NO SPACES between each part

Answers

Answer:

1 1/5.

Step-by-step explanation:

To divide a fraction by another fraction you have to change the equation like "Keep, Switch, Flip".

For the problem 24/25 ÷ 4/5,

You KEEP the first fraction as is, so 24/25

Then, you SWITCH the sign from division to multiplication.

Finally, you FLIP the second fraction upside down, (the reciprocal). So it's 5/4.

The equation is now 24/25 * 5/4, which we can just multiply the numerators  and denominators. (or cross cancel first)

24 * 5 = 120

25 * 4 = 100

the fraction is 120/100. Simplified, it can be divided by 10 to make 12/10, and finally divided by 2 to make 6/5, or 1 1/5.

Keep change flip if not noted you should
Find the value of: 24/25 divided by 4/5 Type mixed numbers like this: WholeNumber numerator/denominatortype

i need h e l p
A new roller coaster just opened at Friday Fun Park. When Lisa got in line, a sign said the wait from that point would be 45 minutes. The actual wait was only 35 minutes. What is the percent error for the park sign's estimate?
If necessary, round your answer to the nearest tenth of a percent.

Answers

Answer: 28.6%

Step-by-step explanation:

To calculate the percent error:

1) Subtract the estimated amount by the actual amount

45-35=10

2) Divide the answer by the actual amount

10/35=0.2857

3) Multiply the answer by 100 to get the percent error

0.2857×100=28.57

Rounded that equals 28.6%

Answer: hope this helps ♡

The percent error for the park sign's estimate is 29%.

Step-by-step explanation:

45 - 35 = 10

(10 out of 35 because it's the actual amount)

10 of 35 in percentage:

(10 ÷ 35) × 100 =

0.28571..... × 100 =

28.5714.....%  ≈  29%

ihopemyasnweriscorrect :)

Jack and his friends buy 4 tickets to the show . They also each spend $2 on a drink. They spend $18 in all. Which equation matches the situation.

Jack and his friends buy 4 tickets to the show . They also each spend $2 on a drink. They spend $18 in

Answers

Answer:

2(x + 4) = $18

Step-by-step explanation:

Let Jack be x

Jack and his friends buy 4 tickets means,

x + 4

Each spend $2 on a drink means,

2 * (x + 4) = 2(x + 4)

Totally, they spend $18

The final equation :

2(x + 4) = $18

Answer:

2x + 4 = 18

Step-by-step explanation:

jack and his friends bought 4 tickets so number 4 is a constant.

each of them spends $2 on a drink

let x be the total number of friends

they collectively spend $18 in all

thus, the equation can be written as,

2x + 4 = 18

Jade is painting on top of a table. She needs to buy enough paint to cover the top. a) Is she finding the circumference or the area of the table? b) How many square inches are there on top of this table? (round to the nearest whole number) Please leave an explanation of how you got your answer! Brainliest for the best! (Photo below) Thank You! Peace XOXO

Jade is painting on top of a table. She needs to buy enough paint to cover the top. a) Is she finding

Answers

Answer:

a) Area

b) 3,848 in. cubed

Step-by-step explanation:

Since we need to find the area of a circle, we have to insert the value of the radius (diameter ÷ 2) into the equation:

\(A = \pi r^{2}\\A = \pi (70/2)^{2} \\A = 35^{2} \pi \\A = 3,848.451\\A = 3,848\)

Answer:
a) Area
b) 3,848 in. cubed
Step-by-step explanation:
Since we need to find the area of a circle, we have to insert the value of the radius (diameter ÷ 2) into the equation:

Please Help! Look at the picture attached.

Please Help! Look at the picture attached.

Answers

Answer:

23-x=5

X= 18

that's the answer

Answer:

x+5=23

The number of compact cars sold in June was 18.

(x=18)

what is the answer to the problem pls

what is the answer to the problem pls

Answers

Answer:

43

Step-by-step explanation:

268-225=43

Answer:

x=43

Step-by-step explanation:

x=225+268

 -225  -225

Then the 225 and -225 cancel out.

Subtract 268-225

x=43

Deena has a tool box in the shape of a right rectangular prism. The volume of the tool box is 0.375 cubic feet. The height of the tool
box is 0.5 feet, and the length is 1.5 feet.
What is the width of Deena's tool box?
Enter your answer as a decimal in the box


__ft

Answers

Answer:

w = 0.5 ft

Step-by-step explanation:

Deena has a tool box in the shape of a right rectangular prism. The volume of the tool box is 0.375 cubic

Answer:

0.5 ft

Step-by-step explanation:

what is the volume of V?

what is the volume of V?

Answers

V= “pi” multiplied by “radius squared” multiplied by “height”
Therefore V=3.14(49)(10)
=1538.6 mm

Answer:

V= pi multiplied by radius squared multiplied by height

7² = 49

49 x 10 = 490

V= 490\(\pi\)

v = 1539.3804 mm

Step-by-step explanation:

pllz answer Masterson Wood Products pays Patricia Griffin a $640 monthly salary plus a 11% commission on merchandise she sells each month. Assume Patricia's sales were $72,900 for last month.

Answers

Answer:

$8659

Step-by-step explanation:

Patricia's sales = $ 72,900

Her commission = 11% of $72,900

= 11/100 * 72,900 [ % means out of 100 and of means to multiply ]

= 11 * 729

= $ 8019

Her monthly salary = $640

Her monthly salary along with commission = $640 + $8019

= $8659

\(\rule[225]{225}{2}\)

Hope this helped!

~AH1807

Answer:

1307 is the commission plus the monthly salary so it would be

$640+$1307=2247

Step-by-step explanation:

Answer is $2247

HELP! 6th-grade math PLEASE HELP!

HELP! 6th-grade math PLEASE HELP!

Answers

first, find the area of prism ll by multiplying 5/2, 9/4, and 2

this will result in 45/4, or 11.25

now, you have to figure out how many small cubes will fit inside prism ll

we know that the side lengths of the small cubes are 1/4, and since cubes have equal side lengths, you can multiply 1/4, 1/4, and 1/4 to find the area

this will result in 1/64

divide the area of prism ll, 11.25, by the area of the small cubes, 1/64, to get 720

then, do the same thing for prism l

multiply 7/4, 3/2, and 5/4 to get 105/32

divide this by the previous 1/64 to get 210

lastly, to determine how many more small cubes can fit into prism ll, subtract 210 from 720

720-210=510

final answer: 510 cubes

hope this helped!!

(This is out of order look at the picture) The point at (0,0) represents the number of photos per page.
A website has a photo gallery with multiple pages. Each page of
the website has the same number of photos. The graph shows
the number of photos based on the number of pages.
Website Photo Gallery
The point at (1,8) represents the number of photos per page.
The point at (4, 32) means that 4 pages have 32 photos each.
48
44
The point at (6, 48) means that 48 pages have 6 photos each.
40
36
32
28
Number of Photos
24
20
16
12
8
4
х
0 1 2 3 4 5 6 7 8 9 10
Number of Pages
Which statement about the graph is true?

(This is out of order look at the picture) The point at (0,0) represents the number of photos per page.A

Answers

Answer:

I think it's answer c

Step-by-step explanation:

If you plot 4 on the x-axis it would mean 4 pages and if you plot 32 on the y axis it would mean the number of photos on page 4

Answer:

c

Step-by-step explanation:

Please help me soon, i really need to get finished with my work so i can go to chick-fil-lay!∞

Please help me soon, i really need to get finished with my work so i can go to chick-fil-lay!

Answers

Answer:

128

Step-by-step explanation:

\/ my work

Please help me soon, i really need to get finished with my work so i can go to chick-fil-lay!

the ratio of the number of oranges to apples to bananas is 8:5:2. if there are 120 fruits in total, how many bananas are there

Answers

Answer:

Step-by-step explanation:

To find the number of bananas, we need to determine the proportion of bananas in the total number of fruits based on the given ratio.

Let's assume that the ratio of oranges, apples, and bananas can be represented by 8x, 5x, and 2x, respectively, where x is a common multiplier.

The sum of the parts in the ratio is 8x + 5x + 2x = 15x.

We know that the total number of fruits is 120. Therefore, we can set up the following equation:

15x = 120

To solve for x, we divide both sides of the equation by 15:

x = 120 / 15

x = 8

Now that we know the value of x, we can find the number of bananas by multiplying it by the corresponding part of the ratio:

Number of bananas = 2x = 2 * 8 = 16

So, there are 16 bananas in total.

We can add all the parts to the ratio and get 15. Out of 15 parts, 2 are bananas. Now we can calculate how many fruits are in one part. One fifteenth of 120 is 8, so there are 8 fruits in one part. 2 parts are bananas, so multiplying 8 with 2 gives us our answer, 16.

At a pet store, Eric paid $11.50 for 3 dog bowls and 4 bones. Kelsie paid $13 for 2
dog bowls and 8 bones. What is the cost of each item?

Answers

Answer: $ 8.75

Step-by-step explanation:

the price for each dog bowl is $2.50 and the price for each dog bone is $1.00. for Eric: $2.50 x 3 = $7.50, $1.00 times 4 = $4.00, $7.50 + $4.00 = $11.50. for Kelsie: $2.50 x 2 = $5, $1.00 x 8 = $8.00, $5 + $8 = $13.

PLS CAN SOME ONE HELP ME WITH THIS OR WITH SOME OF MY UN ANSWER QUESTON
The diameter of a bike wheel is 27 inches. If the wheel makes 15 complete rotations, how far does the bike travel?

Answers

Answer:

About 1,272 inches or 106 ft

Unsimplified: 1272.345 inches

(I think)

Please help, They are parallelograms and help

Please help, They are parallelograms and help
Please help, They are parallelograms and help

Answers

Answer

first you need to know that the what is parallelogram?

A parallelogram is a special type of quadrilateral that has equal and parallel opposite sides.

the full form of parallelogram = base * height (b*h)

                      answer no 1

base = 6 ft

height = 4 ft

parallelogram= b* h= 6*4

= 24 ft

                       answer no 2

base = 9 yd

height = 5 yd

parallelogram= b* h= 9*5

= 45 yd

                       answer no 3

base = 7 inch

height = 3 inch

parallelogram = b*h

3 * 7 = 21 inch

                         answer no 4

base = 7 inch

height = 9 inch

parallelogram = b*h

9 * 7 = 63 inch

                        answer no  5

base = 10 ft

height = 2 ft

parallelogram = 10 * 2 = 20 ft

                         answer no 6

base = 6yd

height = 8yd

parallelogram = 6 yd * 8yd

= 48 yd

hope this helps you

can you mark me brainliest answer....

(*_*)

You have to find the muplityed area of the shape! I hope this helped!

Which expressions can you use to find 75% of 56? Check all that apply.

( Image below )

A . 0.25 × 56

B . Three-fourths × 56

C . 0.75 × 56

D . One-fourth × 56

E . 3 × 14

( I'm bad at math )

Which expressions can you use to find 75% of 56? Check all that apply.( Image below )A . 0.25 56B . Three-fourths

Answers

Your answer would be B and C

Answer:

look at photo!

Step-by-step explanation:

on edg:)

Which expressions can you use to find 75% of 56? Check all that apply.( Image below )A . 0.25 56B . Three-fourths

help-
(please, ill mark brainliest)

help-(please, ill mark brainliest)

Answers

Answer:

a

Step-by-step explanation:

the answer is d all the other problems are correct

will give brainliest plz help asap this is for a friend

will give brainliest plz help asap this is for a friend

Answers

Step-by-step explanation:

except x write w...hope it will help

will give brainliest plz help asap this is for a friend
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