which expression is equivalent

Which Expression Is Equivalent

Answers

Answer 1

Answer:

a^9*b^6

Step-by-step explanation:

a^(-8)                              b              1                                         1

-------- = a^(-3), and   ----------- = ---------  Their product is --------------

a^(-5)                            b^(3)        b^2                                a ^3*b^2

This is the algebraic expression inside the parentheses.  We must now take

the negative 3rd power of this result.

  (a^3*b^2)^3 = a^9*b^6

         


Related Questions

Ana Maria has applied for United States citizenship. She has studied American history and government for a long time and thinks she is ready to take the citizenship test. When she took the practice test online she answered forty-seven questions correctly and only missed three. What percent of the questions did she get right?

Answers

Answer:

≈93.6

Step-by-step explanation:

percent right = answers right/ anwers wrong

Answers right= 47-3=44

%=44/47

≈93.6

Please help. Posting question below will mark brainiest and 25 points!!!!!!

Two opposite sides of a parallelogram are 3x-8 and 10x+13. Find the measure of all sides

Answers

Answer:

The measure of each angle of the parallelogram.

37∘ , 143∘ , 37∘ , 143∘.

Step-by-step explanation:

Since opposite angles of a parallelogram are equal. Therefore,

3x − 2=50 − x⇒x = 13

(3x−2)∘ = 3(13)−2 = 37∘

The measures of the adjacent angles of a parallelogram add up to be 180 degrees, or they are supplementary.

Another angle = 180−37=143∘

The measure of each angle of the parallelogram.

37∘ , 143∘ , 37∘ , 143∘

find the circumference

Answers

Answer:

[tex]31.42 \: cm[/tex]

Step-by-step explanation:

[tex]C=\pi d[/tex]

[tex]C=2\pi r[/tex]

[tex]C=2\pi \times 5[/tex]

[tex]C=10\pi[/tex]

[tex]C=31.41592...[/tex]

[tex]answer \\ 31.4 \: cm \\ solution \\ r = 5 \: cm \\ d = 5 \times 2 = 10 \: cm \\ circumference = \pi \: d \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 10 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 31.4 \: cm \\ hope \: it \: helps[/tex]

Frank decided to lease a $20,000 car for three years instead of buying the car and financing it with a loan. At the end of three
years, the car was worth $11,000. How much did Frank receive when he returned the car to the dealership?
A. He received $0 and will have to cover the cost of any damages that have been done to the car.
B. He received $11,000, less the cost of any damages that have been done to the car.
C. He received whatever amount of money the dealer was able to get selling the car as a used car.
D. He received half of what the dealer got from the sale of the used car.

Answers

Answer:

a

Step-by-step explanation:

solve the following simultaneous linear+y=3and3x-y=1​

Answers

Answer:

x=  4/3 and y=3

please help for brainliest answer

Answers

Answer:

3360 cm^2

Step-by-step explanation:

24 times 14 times 10 = 3360

What is the nth term in the sequence: 15, 22, 31, 42, 55

Answers

Counting by seven’s then 9 then 10 then 13

3. If angles R and S are complementary, which statement about the two angles is true?
mZR = 45° and mzs = 45°.
ZR and ZS form a right angle.
O ZR and 2S are both acute.
LR and ZS are adjacent.

Answers

Answer: ZR and ZS form a right angle

Step-by-step explanation:

Complementary angles are angles whose sum = 90ᴼ

If R and S are complementary, then their angle measures add to equal 90ᴼ

A right angle = 90ᴼ

ZR and ZS form a right angle.

What is complementary angle?

When the sum of two angles is equal to 90 degrees, they are called complementary angles.

What is right angle?

When two straight lines intersect each other at 90˚ or are perpendicular to each other at the intersection, they form the right angle.

According to the given question.

Angles R and S are complementary angles.

Since, R and S are complementary angles. then their angle measured add to equal to 90 degrees or right angle.

Therefore,

The ZR and ZS form a right angle.

Hence, option second is correct.

Find out more information about complementary angles and right angle here:

https://brainly.com/question/5708372

#SPJ2

Help help help help please please

Answers

Answer:

The answer is 10⁴ × 4⁵.

Step-by-step explanation:

First, you can seperate the fraction :

[tex] \frac{ {10}^{4} \times {4}^{10} }{ {4}^{5} } [/tex]

[tex] = {10}^{4} \times \frac{ {4}^{10} }{ {4}^{5} } [/tex]

Next, you have to apply Indices law :

[tex] {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]

So for this question :

[tex] {10}^{4} \times \frac{ {4}^{10} }{ {4}^{5} } [/tex]

[tex] = {10}^{4} \times {4}^{10 - 5} [/tex]

[tex] = {10}^{4} \times {4}^{5} [/tex]

The first equation from the previous system of
equations is graphed. Graph the second equation to
find the solution of the system of equations.
y = -2x + 4,
y=-x-1
What is the solution to the system?

Answers

Answer: x = 5 and y=-6

Step-by-step explanation:

If we graph both equations, the interception is the point (5,-6). Therefore the solution for x is 5 and for y is -6.

Find the slope of the line that passes through (2, 12) and (5, 10).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

The right answer is -2/3

please see the attached picture for full solution

Hope it helps..

Good luck on your assignment..

Answer:

-2/3

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

(10-12)/(5-2) = -2/3

A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km down-stream. Determine the speed of the stream and that of the boat in still water.

Answers

Answer:

Average speed of boat = 3.67 km/h

Average speed of stream = 0.63 km/h

Step-by-step explanation:

30 km upstream in 10 hours gives a speed of 30/10 = 3 km/h relative speed of boat and stream

Same way, 44 km in 10 hrs = 4.4 km/h relative speed of boat and stream.

Let the speed of the stream be y

Let the speed of both be x, then

x - y = 3.... (1)

x + y = 4.4.... (2)

Subtract 1 from 2

2y = 1.4

y = 1.4/2 = 0.7 km/h

substitute value of y in 1

x - 0.7 = 3

x = 3.7 km/h

Also, 40 km upstream in 13 hrs gives speed of 3.08 km/h

55 km in 13 hrs gives 4.2 km/h

Let speed of boat be x and that of stream be y

x - y = 3.08.... (1)

x + y = 4.2..... (2)

Subtract 1 from 2

2y = 1. 12

y = 0.56 km/h

Substitute value of y in 1

x - 0.56 = 3.08

x = 3.64 km/h

Average speed of boat = (3.7 + 3.64)/2

= 3.67 km/h.

Average speed of stream = (0.7 + 0.56)/2 = 0.63 km/h

Answer:

Let the speed of boat in stream be x km/hrAnd the speed of boat in still water be y km/hr.For upstream = x - yFor downstream = x + y

As we know that,

[tex]\bigstar \: \: \sf Time = \dfrac{Distance}{Speed} \\ \\ [/tex]

[tex]\bigstar\:\underline{\boldsymbol{According\: to \:the\: Question\:now :}} \\[tex]

[tex]:\implies \sf \dfrac{30}{x - y} + \dfrac{44}{x + y} = 10 \\ \\ \\ [/tex]

[tex]:\implies \sf \dfrac{40}{x - y} + \dfrac{55}{x + y} = 13 \\ \\ \\[/tex]

[tex]\sf Let \: \dfrac{1}{x - y} = \textsf{\textbf{m}} \sf \: \: and \: \: \sf{\dfrac{1}{x + y} = \textsf{\textbf{n} }}\\ \\ \\[/tex]

[tex]:\implies \sf 30m + 44n = 10\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (i)}}\Bigg\rgroup \\ \\ \\[/tex]

[tex]:\implies \sf 40m + 55n = 13\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (ii)}}\Bigg\rgroup \\ \\ \\[/tex]

[tex]\qquad\tiny \underline{\frak{ Multiply \: equation \: (ii) \: by \: 3 \: and \: equation \: (i) \: by \: 4 :}} \\[/tex]

[tex]:\implies \sf 120m + 176n = 40\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (iii)}}\Bigg\rgroup \\ \\ \\[/tex]

[tex]:\implies \sf 120m + 165n = 39\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (iv)}}\Bigg\rgroup \\ \\ \\[/tex]

[tex]\qquad\tiny \underline{\frak{ Substracting \: equation \: (iii) \: from \: equation \: (iv) \: we \: get :}} \\[/tex]

[tex]\sf 120m + 176n = 40 \\ \\

\sf 120m + 165n = 39 \\ \\ [/tex]

[tex]\sf \: \: ( - ) \:\:\: \: \: ( - ) \: \: \: \: \: \: \: ( - ) [/tex]

_____________________

[tex]\: \: \: \: \qquad\sf 11n= 1 \\[/tex]

[tex]\: \: \: \: \: \qquad\sf n= \dfrac{1}{11} \\ \\ [/tex]

[tex]\qquad\tiny {\frak{ Put\: n = \dfrac{1}{11}\:in\:equation \: (i) \: we \: get :}} \\[/tex]

[tex]\dashrightarrow\:\:\sf 30m + 44 \times \dfrac{1}{11} = 10 \\ \\ \\[/tex]

[tex]\dashrightarrow\:\:\sf 30m= 10 - 4 \\ \\ \\[/tex]

[tex]\dashrightarrow\:\:\sf 30m= 6 \\ \\ \\[/tex]

[tex]\dashrightarrow\:\:\sf m= \dfrac{6}{30} \\ \\ \\ [/tex]

[tex]\dashrightarrow\:\:\sf m= \dfrac{1}{5} \\ \\ \\[/tex]

____________________....

[tex]\dashrightarrow\:\:\sf \dfrac{1}{x - y} = m\\ \\ \\[/tex]

[tex]\dashrightarrow\:\:\sf x - y= 5\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (v)}}\Bigg\rgroup \\ \\ \\[/tex]

[tex]\dashrightarrow\:\:\sf \dfrac{1}{x + y} = n\\ \\ \\[/tex]

[tex]\dashrightarrow\:\:\sf x + y= 11\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (vi)}}\Bigg\rgroup \\ \\ \\[/tex]

[tex]\qquad\tiny {\frak{Adding\:equation \: (v) \: and \: equation \: (vi) \: we \: get :}} \\[/tex]

[tex]:\implies \sf 2x = 16 \\ \\ \\[/tex]

[tex]:\implies \underline{ \boxed{ \textsf {\textbf{x = 8 km/hr}}}} \\ \\[/tex]

[tex]\qquad\tiny {\frak{Putting\:x = 8\: in \: equation \: (v) \: we \: get :}} \\[/tex]

[tex]:\implies \sf 8 - y = 5 \\ \\ \\ [/tex]

[tex]:\implies \sf y = 8 - 5 \\ \\ \\[/tex]

[tex]:\implies \underline{ \boxed{ \textsf {\textbf{y = 3 km/hr}}}} \\ \\[/tex]

_________________....

[tex]\bigstar\:\underline{\sf{Therefore\: speed\: of \:boat\: in\: still \:water\: and\: speed\: of\: stream:}} \\[/tex]

[tex]\bullet\:\:\textsf{Speed of boat in stream = \textbf{8 km/hr}}\\[/tex]

[tex]\bullet\:\:\textsf{Speed of boat in still water = \textbf{3 km/hr}}\\[/tex]

Is the following shape a rectangle

Answers

Answer:

c

Step-by-step explanation:

no because the adjacent sides are not perpendicular.

4. Rewrite a formula to isolate a variable:
The velocity(v) of a rocket depends on the time it was firing its boosters(t), and on
the exhaust velocity(c) and on the ratio of mass full to empty(R). Units are km/s.
v = -0098t + c ln R
a. Rewrite the formula so that it solves for R.
V=-0098t + clnR

Answers

Answer:

[tex]v=-0.098t+c\ln(R)\\c\ln(R)=v+0.098t\\ln(R)=\frac{v+0.098t}{c} \\R=e^{\frac{v+0.098t}{c}}[/tex]

What is the perimeter?

Answers

Answer:

91+c

Step-by-step explanation:

The equation to find the perimeter of the triagle is every side added together. We know 2 sides which means we add them to get 91. Then we know we don't know the next number but we add it so we just put the c where the next number to be added would go.

The figure shows five points. A point has been translated right and up.

Based on the graph, which statements about the points could be true? Check all that apply.
1. Point D could be the image of B.
2. Point C could be the image of A.
3. Point E could be the image of C.
4. Point D could be the image of A.
5. Point E could be the image of B.
6. Point C could be the image of E.

Answers

Moving to the right and up, the only two points that could be placed in another point would be C or B

The answer would be 6. point C could be the image of E

Answer:

im confident the answer is A C E

Step-by-step explanation:

Which of the following reasons can be used to justify statement #3 in the proof?
A Given
B the vertical angel theorem
C the reflexive property of congruence
D SSS​

Answers

c because it is accuet.

hope it helps

Option C . The reflexive property of congruence is the correct reason that can justify statement 3 . BD≅BD

What is the reflexive property of congruence?

The reflexive property of congruence states that every side, every angle, every line segment and every shape is congruent to itself.

To prove that ΔABD is congruent to ΔCBD where given that

1.Line segment AB ≅ Line segment CB  (Given)

2. Then we can write AD ≅CD ; Given : D is the mid point of AC

3. line segment BD ≅ Line segment BD , this is true by reflexive property of congruence which states that every line segment or side is congruent to itself.

BD can be considered as side of both the given triangles

Therefore, the reason that can justify statement 3 is option C.

Also, Learn more about the properties of congruence from the link below:

https://brainly.com/question/2039214

#SPJ5

part 1. Find the missing sides for the 30-60-90 Triangles. Please show work​

Answers

1. cos(30) = a/16

a = 16 x cos(30)

a = 8√3

sin(30) = c/16

c = 16 x sin(30)

c = 8

2. cos(30) = d/28

d = 28 x cos(30)

d = 14√3

sin(30) = f/28

f = 28 x sin(30)

f = 14

3. sin(30) = x/62

x = 62 x sin(30)

x = 31

cos(30) = y/62

y = 62 x cos(30)

y = 31√3

Answer:

  1. (a, c) = (8, 8√3)

  2. (d, f) = (14, 14√3)

  3. (x, y) = (31, 31√3)

Step-by-step explanation:

Side lengths in a 30°-60°-90° triangle have the ratios 1 : √3 : 2. You can multiply these ratio values by an appropriate constant to make them match the lengths in your triangle.

__

1. a : c : 16 = 1 : √3 : 2

Multiply by 16/2 = 8:

  = 8 : 8√3 : 16

  a = 8, c = 8√3

__

2. d : f : 28 = 1 : √3 : 2

Multiply by 28/2 = 14:

  = 14 : 14√3 : 28

  d = 14, f = 14√3

__

3. x : y : 62 = 1 : √3 : 2

Multiply by 62/2 = 31:

  = 31 : 31√3 : 62

  x = 31, y = 31√3

What’s the equation to (–5, –2), (–5, 7) ?

Answers

Answer:

x=-5

Step-by-step explanation:

Since the y value goes from -2 to -7 while the x value stays constant, no matter what y value you plug in x will be -5. Therefore, the equation of this line is x=-5. Hope this helps!

x = -5 is the correct answer.

Biggest tree in the world:


The height of a redwood tree is 30 metres plus half of its own height, but it
is not 45 metres high. What is the height of the tree?

Answers

Answer:

80m

Step-by-step explanation:

The height of giant redwood tree is 100m.

so half of it is 50m

The height of redwood tree is 30m+ 50m= 80m

Answer: 60 m

Step-by-step explanation:

30 + .5x = x

30 = .5x

60 = x

50 POINTS ANYONE THAT HELPS
Solve the inequality 171 > -6x, and graph the solution. What does the graph look like? an open circle at –28.5 and an arrow pointing right an open circle at –28.5 and an arrow pointing left an open circle at 28.5 and an arrow pointing right an open circle at 28.5 and an arrow pointing left

Answers

Answer:

see below

Step-by-step explanation:

When we simplify we get x > -28.5 (since dividing an inequality by a negative number flips the sign). Therefore its graph would be an open circle at –28.5 and an arrow pointing right.

Answer:

A

Explanation:

It is easy (Not trying to be mean)

Which expression is equivalent to 243 ?
1
23
23/3
216
23/6

Answers

Answer:

B.

Step-by-step explanation:

[tex]24^{\frac{1}{3} }[/tex]

=> [tex](2*2*2*3)^{\frac{1}{3} }[/tex]

=> [tex](2^3*3)^{\frac{1}{3} }[/tex]

=> [tex]2\sqrt[3]{3}[/tex]

ill mark you brainiest , please help!!!

a boat measures 40m long and 10m wide.
a scale model of the boat measures 50cm long.
what is the scale factor of the model?

Answers

Step-by-step explanation:

50cm/40m = 0.5m/40m = 0.0125 = 1/80

The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form. An algebra tile configuration. Only the Product spot is shown. 9 tiles are in the Product spot: 1 + x squared, 2 negative x, 6 negative. What is this function written in vertex form? f(x) = (x –1)2 – 7 f(x) = (x +1)2 – 7 f(x) = (x –1)2 – 5 f(x) = (x +1)2 – 5

Answers

Answer: A on Edge

Step-by-step explanation:

f(x) = (x –1)2 – 7

Answer:

A

Step-by-step explanation:

What is the value of x in the equation 1x - y = 30, when y= 15?

Answers

Replace y with 15

The equation is now:

1x - 15 = 30

Add 15 to both sides:

1x = 45

Divide both sides by 1

X = 45

Answer: X = 45

Step-by-step explanation:

1x - 15 = 30

add 15 to both sides

1x = 30 + 15

1x = 45

then you have to seperate the 1 from the x, so divide 1 from both sides

45 divided by 1 = 45

so the answer is x = 45

Jenny is going to tile her kitchen floor. She has taken out all the furniture and appliances. Jenny wants to know if she has got enough money to buy the tiles.The tiles are sold in packs, which cover 2m2 Jenny has a discount card which gives her 25% off any marked price at the DIY shop. The tiles are marked at £9.60 Jenny has £100 to spend on the tiles. How much extra does Jenny need to buy the tiles? Give your answer in pence.

Answers

Complete Question:

Jenny is going to tile her kitchen floor of area 30 m^2. She has taken out all the furniture and appliances. Jenny wants to know if she has got enough money to buy the tiles.The tiles are sold in packs, which cover 2m2 Jenny has a discount card which gives her 25% off any marked price at the DIY shop. The tiles are marked at £9.60 Jenny has £100 to spend on the tiles. How much extra does Jenny need to buy the tiles? Give your answer in pence.

Answer:

Extra amount needed by Jenny to buy the tiles = £8

Step-by-step explanation:

Floor area = 30.0 m^2

Area covered by a pack of tiles = 2.0 m^2

Number of packs needed = 30/2

Number of packs needed = 15

Price of a pack of tiles = £9.60

Discount = 25%

Jenny will pay 75% of the marked price

Amount Jenny will pay for a pack of tiles = 75% of 9.60 = 0.75*9.60

Amount Jenny will pay for a pack of tiles = £7.20

Amount Jenny will pay for 15 packs of tiles = 7.20 x 15

Amount Jenny will pay for 15 packs of tiles = £108

The amount of money Jenny currently has = £100

Extra amount needed by Jenny to buy the tiles = £108 - £100

Extra amount needed by Jenny to buy the tiles = £8

PLEASE HELP ME. Really need help


Find the features of the line 4y-3x = 108.

find:

x intercept

y-intercept

Answers

x intercept(y=0)

4y-3x=108

4×0-3x=108

-3x=108

x=108/-3

x=-36

y intercept(x=0)

4y-3×0=108

4y=108

y=108/4

y=27

Please help me and explain your answer
Thank you!

Answers

Answer:

The bottom right

Step-by-step explanation:

switch the x and y and solve for y again

Find the side of to cube
whose volume is
5.832cm3

Answers

Answer:

[tex]1.8cm[/tex]

Step-by-step explanation:

Use the volume of cube formula.

[tex]\displaystyle V=s^3[/tex]

[tex]\displaystyle5.832=s^3[/tex]

[tex]\displaystyle\sqrt[3]{5.832} =s[/tex]

[tex]\displaystyle s=1.8[/tex]

Answer:

a= 1.8 cm

Step-by-step explanation:

V= a³

a= ∛Va= ∛5.832a= 1.8 cm

Tony rounded each of the numbers 1,600 and 1,483 to the nearest thousand. Which choice correctly compares the rounded numbers

Answers

Answer:

Step-by-step explanation:

if the number is below 5, go down

if the number is 5 or above, go up

1,600 is closer to 2,000

1,483 is closer to 1,000

Then, 2000 > 1000

Answer:

Brainliest!

Step-by-step explanation:

1600 rounded is 2000

1483 rounded is 1000

Other Questions
Helen and her sister started watching a cartoon movie at 10:26 A.M. The movie was 2 hours and 51 minutes long. After the movie, they played a card game for 32 minutes and then played soccer in the backyard for 1 hour and 6 minutes. What time was it when Helen and her sister finished playing soccer? aaaaaaaaassssssssssssssppppppppppaaaaaaaaaapppppppaaaaa A sphere has a radius of 16 in. Which statements about the sphere are true? Check all that apply. The sphere has a diameter of 8 in. The volume of the sphere is . The sphere has a diameter of 32 in. The radiuss length is one-half the length of the diameter. The volume of the sphere is . The diameters length is one-half the length of the radius. According to Lincoln Steffans, What was the Shame of the cities ! For the graph of the rational function f(x)=x^2-15+56 over x+7, identity all discontinuities as either a removable discontinuity or a vertical asymptoteA.removable discontinuity at x=-7B. Vertical asymptote is x=7C.vertical asymptote is at x=-7D. Removable discontinuity at x=7 What was a goal of French expansion into Asia? The sum of the digits of a two-digit number is 14. If the number formed by reversing the digits is less than the original number by 18. Find the original numbers. The graph of g(x) = ax^2 opens downward and is narrower than the graph of f(x) = x^2. Which of the following could be the value of a? Can someone please help me. In the number23.45, the digit2 is in the Select...place. In 1892, the People's Party convention producedthe Populist Partythe gold standard.the Omaha Platform.the Knights of Labor. The first woman ruler was ____ A. empress Taizong B. Empress Xuangzong C. Empress Tang D. Empress Wu Find the lowest common multiple (LCM) of 6, 10 and 14. *2 pointsA. 30B. 140C. 210D. 280 PLEASE HELP. Really important Marios Restaurant is planning to tile the floor of their outdoor dining area, represented by the composite figure below. The tile costs $1.50 per square foot. How much should the restaurant plan to spend on tile to complete the job? Fine Stationery makes personalized stationery of the highest quality. The company maintains a stock of blank note cards, calling cards, stationery, and envelopes. Customers order online, indicating the product type, personalization (monogram, name), font style, and color. The following schedule is typical of an order of 100 calling cards: Activity Minutes Process order ............... 3 Wait for production to begin......... 55 Pull calling cards from inventory........ 15 Set up machine for font style and color.... 2 Process calling cards............ 40 Inspect cards.............. 5 Wait for packaging ............ 16 Package cards for shipping......... 2 Wait for pickup by FedEx......... 120 Required: Calculate the manufacturing cycle efficiency. 555 times 5 no explanation please Four lines are drawn on a coordinate plane to form trapezoid WXYZ. A coordinate grid with 4 lines. Line X W is drawn with point W at (negative 4, 1) and passes through (0, 2) with and (3, 3). Line Y X is drawn with point Y at (3, 0) and passes through (0, 3). Line Z W is drawn with point Z at (0, negative 3) and point W at (negative 4, 1). LIne Z Y is drawn with point Y at (3, 0) and point Z at (0, negative 3). Which statements are true about the lines? Select three options. Line WZ has the same slope as line XY. Line YX has a greater slope than line ZY. Line XW has a lesser slope than line YZ. Line ZW has the same y-intercept as line YZ. Line XY has a lesser y-intercept than line XW. does anyone understand and can help me asap? All of the following are characteristics of a dictatorship EXCEPT: