Simplify: (64x^5y^9z^8)^3/7

Answers

Answer 1

( 64 x^5 y^9 z^8 )^(3/7) =
= ( 64 )^(3/7) ( x^5)^(3/7) ( y^9 )^(3/7) ( z^8 )^(3/7) =
= ( 2^6 ) ^(3/7) * x^(15/7) * y^(27/7) * z^(24/7) =
= 2^(18/7) * x^(15/7) * y^(27/7) * z^(24/7) =
= 2^2 * 2^(4/7) * x^2 * x^(1/7) * y^3 * y^(6/7) * z^3 * z^(3/7) =
= 4 * x^2 * y^3 * z^3 * ( 16 * x * y^6 * z^3 )^(1/7) =
= [tex]4 x^{2} y ^{3} z^{3} \sqrt[7]{16 x y^{6} z ^{3} } [/tex]

Related Questions

is 4/2 an integer?
I am stumped, so that is why I want to know

Answers

Yes, it is considered an integer because it is equal to a number which can be written without a decimal point.

An interger is any whole number with no decimal places.

This means that you can divide 4 by 2 to get 2

2 is a whole number thus 4/2 is an interger.

Hope this helps! :)

Nina has 5 bills and 10 bills in her wallet. She has a. total of 7 bills with a value of $55. How many of each type of Bill does she have?

Answers

Answer:

4 tens3 fives

Step-by-step explanation:

If all were $5 bills, the total would be $35. It is $20 more than that. Each time a $5 bill is replaced by a $10 bill, the total goes up $5. Since the total is $20 higher, there must be $20/$5 = 4 such replacements.

There are 4 $10 bills and 3 $5 bills.

90% of students at a university use a backpack, while the rest do not. Of all the students, 50% carry their laptops with them and 5% carry neither a backpack nor laptop. What percentage of students carry their laptops and use a backpack?

Answers

90% of 100 = 90
50% of 90 = 45
5% of 45 = 2.25
The answer is 2.25

Final answer:

The percentage of students who carry their laptops and use a backpack is 45%.

Explanation:

To find the percentage of students who carry their laptops and use a backpack, we need to subtract the percentage of students who carry neither a backpack nor laptop from the percentage of students who carry their laptops.

Given that 5% carry neither a backpack nor laptop, we can subtract this from the 50% who carry their laptops to find that 45% of students carry their laptops and use a backpack.

Xavier is two years more than twice as old as Yoko. The sum of their ages is 86. How old is Xavier?

Answers

Answer :Xavier is 56
Xavier is 2+2x of Yoko when you put 28 in x
28 times 2
56 +2
58
58+28
86

What is 42.2% of 635.4 explain how you found your answer

Answers

it is 268.1
10% of 635.4 is 63.54 and i just multiply that by 4 to get 254.16.
1% of 635.4 is 6.354 and multiply that by 2 to get 12.708.
.1% of 635.4 is .6354 multiply that by 2 to get 1.2708.
add up all the totals to get 268.1

What I did is turn 42.2% into a fraction 422/10 and multiply it with 635.4: after reducing the fraction 422/10 to 211/5. I multiply the numerators: to get 268138.8 and divide 5 to get 268.1388

Write the decimal number in standard form

Six and five hundred and sixteen ten-thousandths

Answers

Final answer:

The decimal number 'six and five hundred and sixteen ten-thousandths' in standard form is 6.0516, which combines the whole number six with the fractional part written as a decimal. Scientific notation is not necessary here since the number is already reasonably simple.

Explanation:

To express the number six and five hundred and sixteen ten-thousandths in standard form, you start by identifying the whole number and the fractional part. The whole number is six, which is straightforward. The fractional part is five hundred and sixteen ten-thousandths, which refers to 516 over 10000. In decimal form, this is written as 0.0516. Combining the whole number with the fractional part gives us the decimal 6.0516. This is the number in standard notation.

Scientific notation simplifies the expression of very large or very small numbers. For example, a large number like 306,000,000 can be written as 3.06 × 108, and a small number like 0.000028 can be expressed as 2.8 × 10-5. However, the number 6.0516 is already concise enough that converting it to scientific notation isn't necessary.

Jacob walked for x miles and then cycled for y miles between his home and the library. the number of miles Jacob cycled was 3 miles more than twice the number of miles he walked. the total number of miles Jacob walked and cycled was 6 miles. how many miles did Jacob walk and cylcle?

Answers

Walk: 1
Bike: 5

y=2x+3
x+2x+3=6
3x+3=6
3x=3
x=1
6-1=5

Walk: 1

Bike: 5

y=2x+3

x+2x+3=6

3x+3=6

3x=3

x=1

6-1=5

What is the answer to the question

Answers

The answer to 87.48/5.4 is 16.2.

All you have to do is multiply the numerator and the denominator by 10, giving you 874.8over54. THen just put that in long division format. Divide 87 by the 54 and you simply get 1. Multiply the quotient by the divisor subract 54 from 87 Then bring down the next number, Multiply the quotient by 6 then subtract 324 from 334. The rest is pretty simple. Once done, you get 16.2 as your final answer!

~I hope this helped!

I am, yours most sincerely,
Joshua A. Bunn

If 2/3=x/12 , what is the value of x?

Answers

2/3=x/12
Use cross multiply
2*12=3*x
24=3x
Divided both side by 3
24/3=3x/3
x=8
Check:
2/3=x/12
Substitute x with 8
2/3=8/12
2/3=(8/4)/(12/4)
2/3=2/3. As a result, x=8. Hope it help!

Answer:

the answers 8,just cross multiple and divide.

Step-by-step explanation:

Given $a \equiv 1 \pmod{7}$, $b \equiv 2 \pmod{7}$, and $c \equiv 6 \pmod{7}$, what is the remainder when $a^{81} b^{91} c^{27}$ is divided by 7?

Answers

[tex]\begin{cases}a\equiv1\pmod7\\b\equiv2\pmod7\\c\equiv6\pmod7\end{cases}[/tex]

[tex]a^{81}\equiv1^{81}\equiv1\pmod7[/tex]

[tex]b^{91}\equiv2^{91}\pmod7[/tex]

[tex]2^{91}\equiv(2^3)^{30}\times2^1\equiv8^{30}\times2\pmod7[/tex]
[tex]8\equiv1\pmod7[/tex]
[tex]2\equiv2\pmod7[/tex]
[tex]\implies2^{91}\equiv1^{30}\times2\equiv2\pmod7[/tex]

[tex]c^{27}\equiv6^{27}\pmod7[/tex]

[tex]6^{27}\equiv(-1)^{27}\equiv-1\equiv6\pmod7[/tex]

[tex]\implies a^{81}b^{91}c^{27}\equiv1\times2\times6\equiv12\equiv5\pmod7[/tex]

Answer:

5 (mod 7)

Step-by-step explanation:

find the apporximate side length of a square game board with an area of 151 in2

Answers

Final answer:

To find the approximate side length of a square game board with an area of 151 in², take the square root of 151.

Explanation:

To find the approximate side length of a square game board with an area of 151 in2, we can use the formula for the area of a square, which is length x width. Since all sides of a square are equal, we can represent the side length as 's'. So, s x s = 151. To find the side length, we can take the square root of 151, which is approximately 12.29 inches. Therefore, the approximate side length of the square game board is 12.29 inches.

Nathan wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram ABCD in the coordinate plane so that A is (0, 0), B is (a, 0), C is (a, b), and D is (0, b).

What formula can he use to determine the distance from point C to point D?

Answers

The formula used to find the length of a line segment is the same formula as the Pythagoras theorem.

We take CD as the hypotenuse of the right-angled triangle and the distance between the x-coordinates and y-coordinates as the length of two short sides.

We can write the formula as
CD = [tex] \sqrt{( x_{1}- x_{0}) ^{2}+ ( y_{1}- y_{0}) ^{2} } [/tex]
CD = [tex] \sqrt{(a-0)^{2}+ (b-b)^{2} } [/tex]

Wrong on apex is is a-0+(b-b)2=a2=a

h(x)=|x+2| Find h(-10)

Answers

Plugging in,
H(10) = |-10+2|
= |-8|
= 8
The answer is 8.

Write two decimal that are equivalent to2.50

Answers

2.5 and 2.500 could be alternative ways of writing this decimal although they will be equivalent to one another.....

Hope this helped

The two lines, A and B, are graphed below: Line A is drawn by joining ordered pairs negative 3,18 and 9, negative 6. Line B is drawn by joining ordered pairs negative 5, negative 2 and 8,17 Determine the solution and the reasoning that justifies the solution to the systems of equations. (−4, 6), because both the equations are true for this point (2, 8), because the graph of the two equations intersects at this point (2, 8), because neither of the two equations are true for this coordinate point (−4, 6), because the graph of the two equations intersects the x-axis at these points

Answers

The solution of the linear equations that are written in this item can be calculated by locating the point at which these lines intersect. Fortunately enough in this item, we are directly given with the graphs and their intersection.

Enlarging the graph, we find that the intersection of the two lines drawn is at point (2,8). Hence, the solution of the equation is (2,8) because the graphs of the two lines intersect at this point.

The answer is therefore the second choice.

Answer:

B. (2,8) because the graph of the two equations intersects at this point.

Step-by-step explanation:

A triangle has vertices (-1, 2), (3, 1), and (7, 2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth.

Answers

Use the distance formula to find the length of the sides, then add them up to find the perimeter.

[tex]\sf d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

For points in the form of (x1, y1), (x2, y2).

(-1, 2), (3, 1)

[tex]\sf d=\sqrt{(3+1)^2+(1-2)^2}[/tex]

[tex]\sf d=\sqrt{(4)^2+(-1)^2}[/tex]

[tex]\sf d=\sqrt{16+1}[/tex]

[tex]\sf d=\sqrt{17}[/tex]

(3, 1), (7, 2)

[tex]\sf d=\sqrt{(7-3)^2+(2-1)^2}[/tex]

[tex]\sf d=\sqrt{(4)^2+(1)^2}[/tex]

[tex]\sf d=\sqrt{16+1}[/tex]

[tex]\sf d=\sqrt{17}[/tex]

(7, 2), (-1, 2)

[tex]\sf d=\sqrt{(-1-7)^2+(2-2)^2}[/tex]

[tex]\sf d=\sqrt{(-8)^2+(0)^2}[/tex]

[tex]\sf d=\sqrt{64+0}[/tex]

[tex]\sf d=\sqrt{64}=8[/tex]

So the perimeter will be:

[tex]\sf 8+\sqrt{17}+\sqrt{17}\approx\boxed{\sf 16.25}[/tex]

Answer:

Step-by-step explanation:

An arithmetic sequence has a first term of 6.3 and a second term of 8.8 Which term has a value of 78.8?

Answers

First term [ a ] = 6.3

Common difference [ d ] = 8.8 - 6.3 = 2.5

Using general term formula,

[tex]t_{n} = a + (n-1)d[/tex]

78.8 = 6.3 + (n-1)*2.5

2.5*(n-1) = 72.5 [ Dividing both sides by 2.5 ]

n-1 = 29

n = 30

Hence, 78.8 is the 30th term in the arithmetic series.

which rational number must be added to3\7to get -3\4 ?

Answers

[tex]\frac{3}{7}+x=-\frac{3}{4}\\\\\frac{3}{7}(\frac{4}{4})+x=-\frac{3}{4}(\frac{7}{7})\\\\\frac{12}{28}+x=-\frac{21}{28}\\\\x=-\frac{21}{28}-\frac{12}{28}\\\\x=-\frac{33}{28}=1\ \frac{5}{28}[/tex]

Seven students—four girls and three boys—have volunteered to direct the class play. Mrs. Barry decides the only fair way to pick a director is to put all of their names in a hat and draw a name. What is the theoretical probability that a boy's name will be chosen? 3/4, 4/7, 3/7, 7/3

Answers

the probability would be 3/7

Answer:

Step-by-step explanation:

A. 3/7 is right

how to find the density of a unknown liquid, the volume is 12.0mL and the mass is 6g.

Answers

mass divided by volume

Final answer:

To calculate the density of an unknown liquid given its mass of 6g and volume of 12.0mL, divide the mass by the volume, resulting in a density of 0.5 g/mL.

Explanation:

To find the density of an unknown liquid with a volume of 12.0mL and a mass of 6g, you need to use the formula for density which is density = mass/volume. Given the mass is 6g and the volume is 12.0mL, you substitute these values into the formula to calculate the density.

Therefore, the calculation would be: density = 6g / 12.0mL = 0.5 g/mL.

This states that the density of the unknown liquid is 0.5 g/mL, which means for every milliliter of this liquid, it weighs 0.5 grams. Understanding the density of a substance can be crucial in identifying it since density is a characteristic property.

What is the best name for angle Y?

Answers

the answer to the question is B

it takes trevon ten hours to clean an attic. cody can clean the same attoc in seven hours.find how long it would take them if they worked together.

Answers

(17/70)x = 70/70(17x)/70 = 70/7017x = 70x = 70/17x ≈ 4.1176

Final answer:

If Trevon takes 10 hours to clean the attic and Cody takes 7 hours to clean the same attic, it would take them approximately 4.11 hours to clean the attic if they worked together.

Explanation:

If Trevon takes 10 hours to clean the attic and Cody takes 7 hours to clean the same attic, we can find the rates at which they clean per hour. Trevon cleans at a rate of 1/10 of the attic per hour, and Cody cleans at a rate of 1/7 of the attic per hour. To find out how long it would take them if they worked together, we add their rates: 1/10 + 1/7 = 17/70. This means that together, they can clean 17/70 of the attic per hour.

To find out how long it would take for them to clean the whole attic, we divide 1 (representing the full attic) by their combined rate: 1 / (17/70) = 70/17 = 4.11 hours (rounded to the nearest hundredth).

Learn more about Time taken to clean attic here:

https://brainly.com/question/30967695

#SPJ2

how would you simplify -2+3i/-3-2i (im doing conjugates in math right now)

Answers

[tex] \cfrac{-2+3i}{-3-2i}= \\ \\ \\ \cfrac{(-2+3i)(-3+2i)}{(-3-2i)(-3+2i)}= \\ \\ \\ \cfrac{6-4i-9i+6i^2}{9-4i^2}= \\ \\ \\ \cfrac{6-13i-6}{9+4}= \\ \\ \\ \cfrac{-13i}{13}=-1i [/tex]

hope this helps

Final answer:

To simplify -2+3i/-3-2i, multiply both the numerator and denominator by the conjugate of the denominator (-3+2i).

Explanation:

To simplify -2+3i/-3-2i, we can multiply both the numerator and denominator by the conjugate of the denominator, which is -3+2i. This will help us eliminate the imaginary terms in the denominator.

Multiplying the numerator and denominator, we get:

(-2+3i)(-3+2i) / (-3-2i)(-3+2i)

Expanding and simplifying:

(6i+4i^2-9+6i) / (9+4)

Combining like terms:

(-9+12i+4i^2) / 13

Since i^2 is equal to -1, the expression becomes:

(-9+12i-4) / 13

Combining like terms:

(-13+12i) / 13

Therefore, the simplified form of -2+3i/-3-2i is (-13+12i) / 13.

44 points

The computer store pays its employees $150 per day plus a commission of 15% of their sales. Teagan wants to make at least $450 today. Which equation will help Teagan determine how much he has to sell today?

Answers

he makes 150 plus 15% of what is sold

so 150 + 0.15x has to equal at least 450

so the correct answer is B to find out the total he as to sell

You do Time4Learning to?

Solve the equation. 3.1x + 4.6 = 10.8

Answers

x = 2

3.1x + 4.6 = 10.8

3.1x + 4.6 - 4.6 = 10.8 -4.6
3.1x = 6.2
3.1x/3.1 = 6.2/3.1
x=2

3.1x+4.6=10.8
3.1x+4.6(−4.6)=10.8(−4.6)
3.1x=6.2

3.1x/3.1=6.2/3.1

x=2

3.1(2)+4.6=10.8

Solve 4w = 2w - 12. Plis help me with that

Answers

W= -6

4w=2w-12
4w-2w=2w-12-2w
2w/2=-12/2
w=-6

Solve for W and make sure w is isolated

Hello there!

Solve for w;
4w = 2w - 12
First, we need to establish that our primary goal is to get w on one side by itself.
Subtract 2w from both sides.
4w - 2w = 2w
2w - 2w = 0
2w = -12
Divide both sides by 2 to solve for w.
2w / 2 = w
-12 / 2 = -6
w = -6

I hope this helps!

Find the product of 6, m and 5. Then, identify the coefficient.

Answers

The product of 6 m and 5 would be 30m.
The coefficient is 30, since the coefficient is the number next to the variable.

20 pts
Score Number of Students 0 1 1 2 2 5 3 3 4 6 5 7 6 9 Based on the table, what is the mean baseball score?

Answers

The mean baseball score is 3.8571428571429.

The sum of these numbers is 54. 54 divided by 14 is 3.8571428571429.

Answer:

3.8

Step-by-step explanation:

the last one is correct but shorten it to 3.8 so it doesnt look like u used a calculator

The weight of a sack of potatoes was more than 11 pounds. Shana wants to write an inequality for the weight of the sack of potatoes. What constant should she use in the inequality?

Answers

Answer: The constant that Shana should use in the inequality is 11.

Step-by-step explanation: Given that the weight of a sack of potatoes was more than 11 pounds and she wants to write an inequality for the weight of the sack of potatoes.

We are to find the constant that she should use in the inequality.

Let x pounds represents the weight of the sack of potatoes.

Then, according to the given information, the inequality can be written as

[tex]x>11.[/tex]

Thus, the required constant that Shana should use in the inequality is 11.

solve for y 7y - 6y - 10 = 13

Answers

7y-6y-10=13

7y-6y = y

y-10=13

add 10 to both sides

y = 23

7y-6y = 1y and 1=y≡

...

Other Questions

Mary performs this calculation (3.0)(2.0) how many significant figures should her answer have? Which of these would be considered genocide under the UN definition? Check all that apply. True or False? The current growth associated with the human population places pressure on resources and social organization. A turkey was cooked at 300 f in the oven for 5 hours. the internal temperature rose from 35 f to 150 f. what was the average rise in temperature per hour Salt water is denser than fresh water. a ship floats in both fresh water and salt water. compared to the fresh water, the volume of water displaced in the salt water is What is a possible cost of using renewable energy resources What are the steps for constructing a circumscribed circle for using only a compass and a straightedge? Patricia robertson is running for congress from the sixth district in her state. she is interested in knowing the intended choices of the voters. all the registered voters in her district would constitute the study's _____. When an athlete first starts to exercise, her initial energy needs are provided primarily by the aerobic energy system? 4 . suppose you are setting up a reaction that requires an iodide salt and are planning to use sodium iodide. however, at the last minute you find that you are out of sodium iodide, so you must use potassium iodide instead. will you need to weigh out more, less, or the same mass of potassium iodide in order to get the same number of moles of iodide ions? What is the advantage for scientists of using non scientists to collect data? If a train travels one mile (5,280 feet) while climbing a hill at an angle of five degrees, approximately how many vertical feet has the train climbed? Calculate the vapor pressure of water above a solution prepared by dissolving 28.5 g of glycerin (c3h8o3) in 135 g of water at 343 k. (the vapor pressure of water at 343 k is 233.7 torr.) The above composer, born into a very humble household in hamburg, is best known for taking older forms and styles and redefining them in modern ways. antonin dvorak was inspired by his hungarian dance no. 1. what is this composer's name? Which of these treatments may increase and HIV Patient's life spanA.anit-retoviral therapyB.antibioticsC. HIV vaccine D.message therapy The drawing shows sodium and chloride ions positioned at the corners of a cube that is part of the crystal structure of sodium chloride (common table salt). the edges of the cube are each 0.281 nm (1 nm = 1 nanometer = 109 m) in length. what is the value of the angle the in the drawing? Nicholas bought 5 pens for 3 at this rat how many much will be spend on 10 pens Read this excerpt from a raisin in the sun:beneatha enters. she is about twenty . . . her lean, almost intellectual face has a handsomeness of its own. . . . her speech is . . . different from the rest of the family's insofar as education has permeated her sense of english . . . she passes through the room without looking at either ruth or walter . . .what do these stage directions most reveal about beneatha?a.that she is obsessed with her appearanceb.that she considers herself independentc.that she cares deeply about her familyd.that she does not speak english well 11. I plan to go to the batting cages two days a week in order to improve my hitting. This is an example of a:a.performance goalb.outcome goal In a combustion reaction, 46.0g of ethanol reacts with 96.0 g of oxygen to produce water and carbon dioxide. If 54.0 g of water is produced, what mass of carbon dioxide is produced? Steam Workshop Downloader