How does (x^3)^3 = x^6 ?

Answers

Answer 1

Answer:

It does not, unless [tex]x=0[/tex] or [tex]x=1[/tex]

If you remember how to raise a power to a given power you remember to multiply the exponents (or, if you don't, apply the definition of [tex](x^3)^3=(x^3)(x^3)(x^3)=x^9[/tex]

At this point you're being asked if [tex]x^9=x^6[/tex] and the only two numbers for which this is true are 0 and 1 (side note: if the left hand side was an even function also [tex]-1[/tex] was a possible candidate, but alas 9 is odd).


Related Questions

Extra Credit #4

What are the next two numbers in this pattern?

431
141311
1114111321
311431131211

Answers

Answer:

The next two numbers following:

431

141311

1114111321

311431131211

are:

132114132113111221

AND

11131221141113122113312211

Step-by-step explanation:

I shall explain the pattern below:

431 (just the digits 4, 3, and 1)

141311 (one 4 becomes 14, one 3 becomes 13, one 1 becomes 11 -> looking at each digit of the previous number, 431)

1114111321 (one 1 becomes 11, one 4 becomes 14, one 1 becomes 11, one three becomes 13, two consecutive 1s becomes 21 -> looking at each digit of the previous number, 141311)

311431131211 (three consecutive 1s becomes 31, one 4 becomes 14, 3 more consecutive 1s becomes 31, one 3 becomes 13, one 2 becomes 12, and one 1 becomes 11 -> looking at each digit of the previous number, 1114111321)

NEXT TWO NUMBERS:

one 3 (13), two consecutive 1s (21), one 4 (14), one 3 (13), two consecutive 1s (21), one 3 (13), one 1 (11), one 2 (12), two consecutive 1s (21)

that makes: 132114132113111221

one 1 (11), one 3 (13), one 2 (12), two consecutive 1s (21), one 4 (14), one 1 (11), one 3 (13), one 2 (12), two consecutive 1s (21), one 3 (13), three consecutive 1s (31), two consecutive 2s (22), one 1 (11)

that makes: 11131221141113122113312211

The rule is that the next number is essentially the previous number with the number of times each digit appears consecutively before each digit of the previous number. I know that sounds convoluted. Hopefully it makes enough sense. Let me know if I should explain more fully.

a farmer is creating a budget for planting soybeans and whet. planting soybessns cost $200 an acre and planting wheat cost $500 per acre. he wants to spend no more than $100000 planting soybeans and wheat.

Answers

Set up a proportion, 200/500 = x/100000

What is m<9 = 130 degrees, What is m<4

Answers

Answer:

50 degrees

Step-by-step explanation:

They are alternate exterior angles, so they add up to 180 degrees.

Help help math math math

Answers

Answer:

  x = 16

Step-by-step explanation:

The two marked angles are supplementary:

  (7x -2) +(4x +6) = 180

  11x +4 = 180

  11x = 176

  x = 176/11 = 16

The value of x is 16.

_____

Additional comment

The angle on the left is 110°; the one on the right is 70°, so that answer checks.

These marked angles are called "consecutive exterior" angles. Just as "consecutive interior" angles are supplementary, so are consecutive exterior angles.

Essentially, all of the obtuse angles are congruent, as are all of the acute angles. The obtuse angles are supplementary to the acute angles.

Answer: x=1 6

Step-by-step explanation:

A 4​-card hand is dealt from a standard​ 52-card deck, and then one of the 4 cards is chosen at random. If only two of the cards in the hand are hearts​, what is the probability that the chosen card is a heart​?

Answers

Answer:  1/2

Explanation:

There are two hearts out of four cards in this particular hand. The probability of picking a heart card is 2/4 = 1/2

In other words, we have a 50% chance of getting a heart. The prior stuff dealing with the 52 card deck is just extra unneeded info.

when the height of a rectangular prism was halved, the volume was 168 cubic cm. if the original prism had a length, width, and height of consecutive integers, increasing in that order,

(a) write and equation to solve for the length, x, of the original figure,
(b) solve length, x,
(c) show that the equation is unique
show all work.​

Answers

a) The equation is therefore; x³ + 3x² + 2x = 336

b) Solving for the length, we get the length to be; x = 6.

c) All workings are as shown below;

According to the question;

When the height of a rectangular prism was halved, the volume was 168 cubic cm.

In essence, the volume of the original prism is;

Volume = 168 × 2.

Volume = 336cm³

Since, the original prism had a length, width, and height of consecutive integers, increasing in that order.

Therefore, length = x

width = (x +1)

height = (x +2)

Volume = x (x+1) (x+2) = 336

a) The equation is therefore;

x³ + 3x² + 2x = 336

b) Solving for the length, x is as follows;

(x-6) (x² + 9x + 56) = 0

By testing values and checking;

Upon solving the polynomial, x = 6.

c) All workings are as shown above.

Read more on cubic equation:

https://brainly.com/question/8878887

Help help help help help

Answers

X = 15+3 = 18 so yeaaaah

Answer:

x=18

Step-by-step explanation:

x - 3 = 15

+3

x=18

Solve 3/8+n = 7/8
N =

Answers

Answer:

n = 1/2 or 0.5

Step-by-step explanation:

Answer:

n=1/2

Step-by-step explanation:

To find "n", you need to subtract 3/8 from the left side, and do (7/8)-(3/8)(7/8) - (3/8) = 4/8 = 1/2Therefore, your answer is 1/2, or 0.5

In which number does the 5 have involve that is ten times the value of the number 5000?

A. 23,523
B. 7,508, 240
C. 45,701
D. 556,429

Answers

The answer is any number that has to do with the 5 in the ten thousands places

In the number 556,429, 5 have involve that is ten times the value of the number 5000.

The given numbers are 23,523, 7,508,240, 45,701 and 556,429.

What is the place value?

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

Option A:

In the number 23,523, 5 is in the hundreds place. So, the value of 5 is 500.

In the number 7,508,240, 5 is in the hundred thousand place. So, the value of 5 is 500,000.

In the number 45,701, 5 is in the thousand place. So, the value of 5 is 5000.

In the number 556,429, 5 is in the ten thousand place and hundred thousand place. So, the value of 5 is 50000 and 500000.

Here, ten times the value of the number 5000 is 50000.

Therefore, in the number 556,429, 5 have involve that is ten times the value of the number 5000.

To learn more about the place value visit:

https://brainly.com/question/21467438.

#SPJ5

Help help help help math math

Answers

Slope is 2/-1 or -2. Because you go up twice and then you go left once.

Answer:

y = -2x - 1

See image

Step-by-step explanation:

The "slope-intercept" form of the equation is the

y = mx + b form

So you need to find the slope (m) and the y-intercept (b), which you are able to find on the image in the question.

Slope (m) tells how steep a line is and whether it goes up or down from left to right. It also works just like directions, from any point on the line to any other point on the line.

The y-intercept (b) is the point on the line where the line crosses the y-axis.

The slope is -2 and the y-intercept is -1

So the equation is

y = -2x - 1

See image

Help with this please?

Answers

A and b good luck (:(:
the answers are A and B

Help me plzzzzzzzzzzzzz

Answers

Answer: It is D

Step-by-step explanation:

When Hugo puts a book and a candle on a scale, the scale reads 8.705 lbs. When he removes the book, the scale reads 4.93 lbs. How much does the book weigh?

Answers

Answer:

8.705-4.93=3.775

Hope This Helps!!!

factorize completly Mn + np + or + rt​

Answers

Answer:

n (m + p) + r (o + t)

Step-by-step explanation:

You have to split the expression in half.

First, focus on mn + np, the common factor would be n.

So the first part of the answer would be mn ÷ n and np ÷ n.

Leading to it being n(m + p).

Then you focus on the second half or + rt.

You find the common factor, which is r.

You divide both sides by r.

Hence why you get r(o + t).

Lastly, you put them together, n(m + p) + r(o + t).

Hope this helps :)

You are training for the upcoming bike and hike race. On the days you bike, you will ride 8 miles. On the days you hike, you will walk 3 miles. By the end of the training you want to have covered at least 200 miles. Write a linear inequality to represent this situation. Let x represent days biked and y represent days hiked.

Answers

Answer:

8x + 3y [tex]\geq[/tex] 200

Step-by-step explanation:

Help please
(1/5 x 5) to the 5th power =

Answers

Answer:

(1/5 x 5) to the 5th power = 1

During a sale, a store offered a 10% discount on a stereo system that originally sold for $810. After the sale, the discounted price of the stereo system was marked up by 10%. What was the price of the stereo system after the markup? Round to the nearest cent.

Answers

Answer: The following is only intended for mature audiences.

"Viewer discretion advised

Answer:

$801.9

Step-by-step explanation:

10% of 810 is 81

810-81 = 729

10% of 729 is 72.9, so add that back to get the extra 10%

729+72.9 = 801.9

Please give brainliest if I helped! :)

A map scale indicates that .5 inches represents 13 miles. What is the actual distance of two cities that are measured on the map to be 4.5 inches apart?

Round your answer to the nearest integer.

Answers

Answer:

9 is the answer, wanna know how?

Step by Step explanation : So you do this and that equals 9.


What is the range of the relation below?

Answers

The pictures aren’t posted
wheres the photo?? i cant help bc theres no numbers

The sequence -1, 1, -1, 1 and so on is

Answers

Answer:

-1 is the next one ithink

Please help I'll mark brainliest

A cook came across two cups and one saucer in a kitchen cupboard.

Bored for something to do, she weighed each item.

Altogether, the three items came to 12 ounces.

The larger cup with the saucer weighed exactly double of the smaller cup.

The smaller cup with the saucer weighed exactly the same as the larger cup.

What did each item weigh?

Answers

Answer: saucer 3 ounces smaller cup 3 ounces larger cup 6 ounces

Step-by-step explanation:

The position of a large fish relative to the water surface was −17 1/3 feet. It suddenly dove straight down and increased its depth by 6 1/2 feet. What is the position of the fish now relative to the water surface? Enter your answer as a mixed number, in simplified form, in the box.

Answers

So let’s imagine this on a number line…so we know that the fish starts at -17 1/3 on the number line but he dives (that means go lower in our number line) 6 1/2 feet downward so let’s set up an equation:

-17 1/3 - 6 1/2
Now, let’s subtract the two integers by finding the least common denominator of 2 and 3 so it can be easier to solve in this case it’s 6…then let’s set up our new equation:

-17 2/6 - 6 3/6
We know it’s a negative number since we are subtracting a negative number and our final answer is -23 5/6

The variables x and y vary directly. Given the model y = -2x , find the value of x when
y = -16.
a. 8
32
b. 16
d. 64
C.

Answers

The answer is A. 8

Hope this helped

Answer:

a.8

Step-by-step explanation:

y=-16

-16=-2x

16=2x

x=16/2=8

COULD SOMEONE HELP ME PLEASE I WILL MARK BRAINLIEST I BEG U PLEAASE PLEASEEEEEE

Answers

Answer:

I think it's B

Step-by-step explanation:

Determine the period of the function g(x) = (cos ;)

Answers

Answer:

6[tex]\pi[/tex]

Step-by-step explanation:

The period of a sinusoidal function in the form a * cos (b (x + h)) + m is [tex]\frac{2\pi }{|b|}[/tex]. Therefore, we can see that "b" in g(x) is 1/3 and 1/3 substituted into [tex]\frac{2\pi }{|b|}[/tex] is 2[tex]\pi[/tex]/1/3 which is 6[tex]\pi[/tex].

LAST ATTEMPT MARKING AS BRAINLIEST!! ( write a rule to describe each transformation)

Answers

Answer:

See explanation

Step-by-step explanation:

Dilation of 4

G (0, 1) G' (0, 4)

F (1, 1) F' (4, 4)

Gx'/Gx = 0 / 0 = 0

Gy' / Gy = 4 / 1 = 4

Fx' / Fx = 4 / 1 = 4

Fy' / Fy = 4 / 1 = 4

Please help!! Best answer gets brainliest<3

Answers

Answer:

-5.1

Step-by-step explanation:

Since we know the starting temperature was -12.6 and the decrease was 7.5, that gives an equation.

-12.6 - 7.5.

Since we are working in temperature we need to be careful when subtracting.

-12.6 - 7.5 = -5.1

In a calculator, -12.6 - 7.5 would be 20.1 but since we are using temperature the answer is -5.1.

Hope that helps. x

Evaluate the expression 2-8 × 2-7=

Answers

Answer:

-21

Step-by-step explanation:

2-8 × 2-7 = 2-(8×2)-7

= 2-16-7

=-14-7

=-21

3 ft of a 3 inch crown molding costs you $8.75 at the lumber store. How much would it cost for 31 ft?

Answers

Answer:

9.10 * 8.75 = 79.62

Step-by-step explanation:

Sorry if its wrong... :(

find the equivalent fraction 2/6= __ 2/5= ___​

Answers

The equivalent fraction of 2/6 is 1/3
The equivalent fraction of 2/5 is 4/10
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