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Represent the following expressions as a power of the number a where a not = 0
((a^-2)^-1)^-1 divided by ( a divided by a ^-1)^2

Please Help Asap. I Give Brainliest And Points Plz No Links I Grinded For These PointsLOOK AT THE PIC

Answers

Answer 1

Step-by-step explanation:

[tex]((a^{-2})^{-1})^{-1}:(a:a^{-1})^2 =[/tex][tex]a^{(-2)*(-1)*(-1)}:(a^{1-(-1)})^2 =[/tex][tex]a^{-2}:(a^2)^2 =[/tex][tex]a^{-2}:a^4=[/tex][tex]a^{-2-4}=[/tex][tex]a^{-6}\\ or\\ 1/a^6[/tex]

Answer 2

[tex]\\ \rm\leadsto ((a^{-2})^{-1})^{-1}/(a\div a^{-1})^2[/tex]

[tex]\\ \rm\leadsto (a^2)^{-1}/(a^2)^2[/tex]

[tex]\\ \rm\leadsto (a^2)^{-1-2}[/tex]

[tex]\\ \rm\leadsto (a^2)^{-3}[/tex]

[tex]\\ \rm\leadsto a^{-6}[/tex]


Related Questions

someone please help me ASAP!!!

Answers

Answer:

14.1372 m

Step-by-step explanation:

Which of the following is equal to 722 grams? A. 0.722 kilogram B. 7,220 kilograms C. 722,000 kilograms D. 7.22 kilograms

Answers

Answer:

A

Step-by-step explanation:

Answer:

conversion from gram to kilogram

u divide the gram by 1000

which is 722/ 1000

=0.722kilograms

i.e answer is A

A group of 169 students needs to be seated in a square formation for a
yearbook photo. Solve the equation N² = 1,024 to find how many students
should be in each row. ASAP

Answers

We have a group of 169 students that needs to be seated in a square formation. Then, the number of rows has to be the square root of 169 :-

[tex]r = \sqrt{169} = 13[/tex]

Then, a square of 13 rows and 13 columns will fit the 169 students.

If the number of students is 1024, then the number of rows N can be calculated as :-

[tex] {N}^{2} = 1024[/tex]

[tex]N = \sqrt{1024} [/tex]

[tex]N = 32[/tex]

Final Answer :-

169 students will seat in a 13×13 formation.

1024 students will seat in a 32×32 formation (N=32)

--------------------------------------

the container that holds the water for the football team is 1/3 full. after pouring in 13 gallons of water, it is 5/6 full. how many gallons can the container hold?

Answers

The container can hold 26 gallons.


1/3 is equal to 2/6
After 13 gallons, it went up to 5/3, meaning it went up by 3/6.
Since you wanna find the total gallons, 6/6, you just multiply 13 by 2 since 3/6 is half the container.

13 x 2 = 26

i need help i can’t understand how to solve it so pls help

Answers

Answer:  -4, 14, -22, 50

=====================================================

Work Shown:

1st term = -42nd term = -2*(1st term)+6 = -2*(-4)+6 = 143rd term = -2*(2nd term)+6 = -2*14+6 = -224th term = -2*(3rd term)+6 = -2*(-22)+6 = 50

The first four terms are: -4, 14, -22, 50

The idea is to start with the first term (-4) and use the template [tex]\text{nth term} = -2*(\text{previous term}) + 6[/tex] to generate each new term. We multiply the previous term by -2, then add on 6. This is exactly what the recursive equation [tex]a_n = -2(a_{n-1})+6[/tex] is indicating.

Assume f(x) = -2x + 8 and g(x) = 3x. What is the value of ( g o f) (3)?

Answers

Answer:

6

Step-by-step explanation:

when calculating (g of f)(3) you first have to substitute 3 in the f(x) equation which would be -2(3)+8=-6+8=2. then you have to do g of f, which is g(2) in this case, and 3(2)=6.

hope this helps! :D

From a group of students, 28 students like rice, 23 students like dumplings, 16 students like both and 11 students do not like rice nor dumplings. How many students were interviewed?

Answers

78

Step-by-step explanation:

23+28+16+11=78

people who was interested in the restaurant

Without graphing, find the slope of the line that goes through (2,-1) and (6,1)

Answers

Answer:

-7

Step-by-step explanation:

Y2 - Y1 / X2 - X1

-1-6/2-1

-7/1

= -7

Suppose that there are 500 students in the school about how many of them study between 4.2 and 5.8

Answers

You have to take a poll.


[tex]\{ x - ( \frac { x } { 5 } + 60 ) \} = \{ ( \frac { 4 } { 5 } ) x - 60 \}[/tex]
help plssssssss

Answers

If you are asking for the value of x, then x = not defined because dividing a value by 0 will always give you a non-defined answer. So, x can be equal to any number (there can be infinite values).

Next, if you want to prove that both the statements are true, then yes it's true because RHS = LHS = 0.

Check the 2 attachments for the steps.

______

RainbowSalt2222 ☔

Answer:

infinite number of solutions

Step-by-step explanation:

x - ([tex]\frac{x}{5}[/tex] + 60) = [tex]\frac{4}{5}[/tex] x - 60 ← distribute parenthesis on left by - 1

x - [tex]\frac{x}{5}[/tex] - 60 = [tex]\frac{4}{5}[/tex] x - 60 , collect like terms on left side

[tex]\frac{4}{5}[/tex] x - 60 = [tex]\frac{4}{5}[/tex] x - 60

Since expressions on both sides are equal then any value of x is a solution.

That is there is an infinite number of solutions

(a/b)^-3 x (a^2 b)^2 x (b^3)^0

Answers

Answer:

A^7x^2/B

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

1)36

2)1/36

Step-by-step explanation:

Hope it can help you lovelots

Which number represents a square root of 3 [cos(pi/2) + i sin (pi/2)]?

Answers

Answer:   Choice B

===========================================================

Explanation:

We use De Moivre's Theorem. It says that if you started with

[tex]z = r*\left[\cos\left(\theta\right)+i*\sin\left(\theta\right)\right][/tex]

then raising both sides to the nth power leads to

[tex]z^n = r^n*\left[\cos\left(n*\theta\right)+i*\sin\left(n*\theta\right)\right][/tex]

The term out front r is raised to the nth power. We also have copies of n inside the trig functions.

The square root operation undoes the squaring operation, so we'll be dealing with n = 2.

If you were to go through each answer choice, then you'll find that squaring choice B will lead to the original expression given.

[tex]z = \sqrt{3}*\left[\cos\left(\frac{\pi}{4}\right)+i*\sin\left(\frac{\pi}{4}\right)\right]\\\\\\z^2 = (\sqrt{3})^2*\left[\cos\left(2*\frac{\pi}{4}\right)+i*\sin\left(2*\frac{\pi}{4}\right)\right]\\\\\\z^2 = 3*\left[\cos\left(\frac{\pi}{2}\right)+i*\sin\left(\frac{\pi}{2}\right)\right]\\\\\\[/tex]

Note that working this process in reverse means we apply the square root and we'll go from the expression in choice B to the original expression again.

The complex number Z =  √3[cosπ/4 + i sinπ/4] represents the complex number √(3[cosπ/2 + i sinπ/2]) after using the De Moivre's theorem option (B) is correct.

What is a complex number?

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number in the trigonometric form:

Z = √(3[cosπ/2 + i sinπ/2])

It is required to find the square root of the complex number.

To find the square root of the complex number we can use the De Moivre's theorem:

If

Z = r[cosθ + i sinθ]

Zⁿ = rⁿ[cosnθ + i sinnθ]

Using the above theorem:

Z =  √3[cos[(1/2)π/2] + i sin[(1/2)π/2]]

Z =  √3[cosπ/4 + i sinπ/4]

Thus, the complex number Z =  √3[cosπ/4 + i sinπ/4] represents the complex number √(3[cosπ/2 + i sinπ/2]) after using the De Moivre's theorem option (B) is correct.

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ5

what is the answer to 5+3x(5-2) ^2

Answers

Answer:

576

Step-by-step explanation:

5 + 3 = 8

5 - 2 = 3

8 x 3 = 24

24 to the second power is 576

Answer:

27x+5

Step-by-step explanation:

5+3x(5-2)^2

5+3x(3)^2

5+3x*9

5+27x

27x+5

cellus If investments double every 7 years and you start with a $600 investment, how much money would you have after 21 years? ​

Answers

Answer:

4800$

Step-by-step explanation:

1 day = 600

7 years = 600 x 2 = 1200$

14 years = 1200 x 2 = 2400$

21 years = 2400 x 2 = 4800$

Convert 1/3 to a percent

Answers

Answer:

33 1/3%

Step-by-step explanation:

           

Answer:

33.3%

Step-by-step explanation:

We can also work this out in a simpler way by first converting the fraction 1/3 to a decimal. To do that, we simply divide the numerator by the denominator:

1/3 = 0.33333333333333

Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:

0.33333333333333 x 100 = 33.3333%

(Hope this helps can I pls have brainlist (crown)☺️)

When Sammy's school bus has traveled 4.3 miles, he has completed only 40% of his trip home from school. How many miles does Sammy travel on the school bus from school to home?

Answers

Answer:

10.75 miles

Step-by-step explanation:

Anyone wanna hope on a meet

Answers

Answer:

yes I would like to hope on a meet that will be fun

Write two algebraic expressions that have -10m as one of the terms in their product. ​

Answers

Step-by-step explanation:

Given,

The product of Algebraic Expression is equal to the ________ of their H.C.F& L.C.M.

Solution,

Consider the the numbers are a, b.

a \times b = LCM\,of\,\left( {a,b} \right) \times HCF\,of\,\left( {a,b}Given,

Yoo muning1027


( fréé pøints)

Answers

Answer:

thx for points ....,..................

A new school will have three playgrounds. Two playgrounds will be large and one playground will be small. The district administrator had 3 5/8 truckloads of concrete delivered for each of the two large playgrounds and 1 9/10 truckloads of cement delivered for small playground. If the cost of the concrete is $2,000 per 1/2 truckload, the concrete for the three playgrounds will cost $_____.


Blank options

-18,300

-22,100

-32,600

-36,600


plz help I don't understand this at all.

Answers

Answer:

you multiple two numbers and you devide both sides you get the answer

What is the value of the rational expression 6-x/x+5 when x = 2?

4/7
4/5
8/7
8/5

Answers

Answer:

4/7

Step-by-step explanation:

6 -2/2+5 = 4/7

thats it simple

Answer: 10

Step-by-step explanation:

6-x/x+5

6-(2)/(2)+5

Order of Operations

6-1+5

5+5

10

x2-8x+12=0


Someone help me

Answers

[tex]\large\boxed{\tt\:Question}[/tex]

x² - 8x + 12 = 0

Hello meremyj! Here's your answer with explanation.

[tex]\large\boxed{\tt\:Answer\:with\:Explanation}[/tex]

[tex]x ^ { 2 } - 8 x + 12[/tex]

Use the biquadratic formula =》 [tex]x=\frac{-b±\sqrt{\left(-b\right)^{2}-4 ac}}{2}[/tex]

Now,

   b = 8    c = 12    a =  1

Using the biquadratic formula & substituting the values....

[tex]x=\frac{-\left(-8\right)±\sqrt{\left(-8\right)^{2}-4\times 12}}{2} \\x=\frac{-\left(-8\right)±\sqrt{64-4\times 12}}{2} \\x=\frac{-\left(-8\right)±\sqrt{64-48}}{2} \\x=\frac{-\left(-8\right)±\sqrt{16}}{2} \\x=\frac{-\left(-8\right)±4}{2} \\\underline{\underline{x=\frac{8±4}{2}} }[/tex]

Now, solve when  [tex]x=\frac{8+4}{2}[/tex]

[tex]x=\frac{8+4}{2}\\x=\frac{12}{2} \\\boxed{\bf\:x=6 }[/tex]

Now, solve when [tex]x = \frac{8-4}{2}[/tex]

[tex]x = \frac{8-4}{2}\\x = \frac{4}{2}\\\boxed{\bf\:x=2}[/tex]

______________

The value of  x  can be 6 & 2.

______________

Hope it'll help you!

Lucäžž

Solve the quadratic equation by completing the square.

x? + 10x + 22=0

First, choose the appropriate form and fill in the blanks with the correct numbers.

Then, solve the equation. If there is more than one solution, separate them with commas.

Answers

X is -2,first x plus 10x plus 22 equals 0,so if plus 22 is zero than x minus 10x than plus 22 than you got it,0

What is the slope of the line that passes through the points (8, 2) and (9,3)? Write
your answer in simplest form.

Answers

Answer:

Well to calculate slope you just do

y2-y1/ X2-x1

In this case

9-8/3-2

Which is 1/1

THe slope is 1

Answer:

1

Step-by-step explanation:

The slope is going to be the ratio between the difference of y coordinates, and the difference in x coordinates.

[tex]m= \frac{\Delta y}{\Delta x} = \frac{3-2}{9-8} = \frac11 = 1[/tex]


The area of a triangle is 30 cm and its base
is 10 cm. What is the perpendicular height,
in cm, of the triangle?

Answers

Step-by-step explanation:

area of triangle,=1/2*base*height

30=1/2*10/h

h=6cm

Answer:  Height=6cm

Step-by-step explanation:

Area of triangle =30cm²

Base=10cm

Height=?

Area=1/2*base*height

30=1/2*10*height

Height=30*2/10

Height=6cm

The Lone Star Shipping Company charges $14 plus $2 per pound to ship an overnight package. Discount Shipping Company charges $20 plus $1.50 per pound to ship an overnight package. What is the point where these two companies will be the same amount and what does it mean?

Answers

Answer:

each company will earn $38 when they ship a 12-pound package

Step-by-step explanation:

you can solve this algebraically by setting up two equations:

let 'c' = charges per pound

Lone Star:  y = 2c + 14

Discount:  y = 1.5c + 20

now set each equation equal to the other to solve for 'c':

2c + 14 = 1.5c + 20

subtract 14 from each side to get:

2c = 1.5c + 6

subtract 1.5c from each side to get:

0.5c = 6

c = 6/0.5

c = 12

if you plug 12 in for 'c' in each equation you will get y = 38

(12,38) is the point where these two companies would each earn $38 for shipping a 12-pound package

What is the perimeter of a regular decagon with sides of 14 inches?​

Answers

Answer:

140 inches

Step-by-step explanation:

one decagon has 10 sides

14*10= 140

A new car is purchased for 24500 dollars. The value of the car depreciates at 14.75% per year. What will the value of the car be, to the nearest cent, after 14 years?

Answers

Answer:

$258

Step-by-step explanation:

What is the area of the shaded portion of the square?

Answers

Answer:

Maybe 34cm

Sana makatulong..

Answer:

144.5 cm^3

Step-by-step explanation:

17 x 17 = 289
289 divided by 2 (because half of the square is shaded)

Which equals 144.5 cm ^3
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