Simplify the expression. Write your answer as a power.
(xy)⁷
The simplified expression is

Answers

Answer 1

Answer:

  x⁷y⁷

Step-by-step explanation:

An exponent signifies the base is a repeated factor in the product. The exponent is the number of times it is a factor.

__

The term (xy)^7 means (xy) is a factor 7 times:

  = (xy)·(xy)·(xy)·(xy)·(xy)·(xy)·(xy)

The commutative and associative properties of multiplication let us rearrange this to ...

  = (x·x·x·x·x·x·x)·(y·y·y·y·y·y·y)

  = (x^7)(y^7)

The expression can be simplified to ...

  [tex](xy)^7 =\boxed{x^7y^7}[/tex]

_____

The rule of exponents is ...

  (ab)^c = (a^c)(b^c)


Related Questions

The blue dot is at what value on the number line?

Answers

Answer:

I believe it would be -20 because the number line values skip by 2 or 3 each skip.

The dot plot below represents how long it takes students in an 8th grade math
class to get to school every morning.
COMMUTE TIME
......
...
:
...
G...
-
10
20
25
30
35
40
45
Minutes
What was the shortest commute time?
minutes
ann

Answers

Answer:

5 minutes

Step-by-step explanation:

Graph the parabola.
y=(x+1)^2-3

Answers

Answer:

tap on the picture to see.

Step-by-step explanation:

that should help

Answer:

I like to use Desmos when I graph parabolas. But I’m this case it would be 3 down and one to the left so the vertex should be (-1,-3) and then just graph x^2

Step-by-step explanation:

Hope this helps! ;-)

A triangle has sides with lengths of 25 kilometers, 60 kilometers, and 61 kilometers. Is it a
right triangle?
yes
no

Answers

no
if u use the pythagorean theorem
25^2 + 60^2 ≠ 61^2
625 + 3600 ≠ 3721
4225 ≠ 3721

which company would cost the most to serve 300 students

Answers

Answer:

Company "A"

Step-by-step explanation:

its the highest line on the graph from the 300 point.

2. What is the new correction equation using the Equal Values Method for the following system below?
y=2x+1
y = 6-3x

Answers

Answer:

  new equation: 2x +1 = 6 -3x

  solution: (x, y) = (1, 3)

Step-by-step explanation:

The Equal Values Method of solving a system of equations has you equate the two expressions that are equal to the same variable or expression. Here, we have two expressions that are equal to y.

equation

The next step is to set them equal to each other:

  2x +1 = 6 -3x

__

solution

This equation can be solved by adding 3x -1 to both sides to get ...

  5x = 5

Then dividing both sides by 5 gives ...

  x = 1

Substituting into either expression for y gives its value:

  y = 2x +1 = 2(1) +1 = 3

The solution to the system is (x, y) = (1, 3).

Please help, I am bad at Trig

Answers

Answer:

the correct answer is A, thats when cos of ttheta is

I need help. Find the ratio of the trig function.

Answers

Answer:

tanΘ = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

tanΘ = [tex]\frac{opposite}{adjacent}[/tex]

the opposite side requires to be found.

let the opposite side be x then using Pythagoras' identity in the right triangle

x² + 12² = 20²

x² + 144 = 400 ( subtract 144 from both sides )

x² = 256 ( take square root of both sides )

x = [tex]\sqrt{256}[/tex] = 16

then

tanΘ = [tex]\frac{16}{12}[/tex] = [tex]\frac{4}{3}[/tex]

1. A rectangular pool is 8 yards long, 6 yards wide, and 5 feet deep. Convert the measurements of the length and width to feet.

Answers

Answer:

19

Step-by-step explanation:

ABCD is a parallelogram. Determine the measure of ∠B.

Answers

The measure of the ∠B of given parallelogram is 362 - 42x

In the above question, a figure which is known as Parallelogram is given, where the following angles are given :

Measure of ∠A = 6x + 14

Measure of ∠C = 9x - 7

Measure of ∠D = 17x + 5

We need to find, the measure of the ∠B

From the properties of a Parallelogram, we know that "The sum of all the interior angles of a parallelogram is equal to 360°". So using this property we'll find the measure of ∠B

Now,

∠A + ∠B +  ∠C + ∠D = 360

16x + 14 +  ∠B + 9x - 7 + 17x + 5 = 360

∠B + ( 16x + 9x + 17x ) = 360 - ( -14 + 7 -5)

∠B + 42x = 360 - (-2)

∠B = 362 - 42x

Hence, the measure of the ∠B is 362 - 42x

To learn more about, parallelogram here

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Answer:

56 degrees

Step-by-step explanation:

Just did the Imagine Math

2. Determine the principal that will earn $294 in 5 years at 6% per annum simple interest.​

Answers

Answer:

state the formula which is S.I =P×T×R

GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT!!!!

Answers

Answer: It should be 4 11/15 gallons.

Step-by-step explanation:

I multiplied both of the amounts.

Use the binomial formula to find the coefficient of the q22p² term in the expansion of (q-2p)24.
7
X
Ś
?

Answers

normal formula define the cup full of is Q -2+ you and me 32,000 you’re welcome

pls help me find all missing sides and angles. ;-;

Answers

Answer:

see explanation

Step-by-step explanation:

the sum of the 3 angles in the triangle = 180° , then

∠ BAC + 51° + 90° = 180°

∠ BAC + 141° = 180° ( subtract 141° from both sides )

∠ BAC = 39°

using the tangent ratio in the right triangle

tan51° = [tex]\frac{opposite}{adjacent }[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{AC}{12.8}[/tex] ( multiply both sides by 12.8 )

12.8 × tan51° = AC , then

AC ≈ 15.8 ( to 1 dec. place )

using the cosine ratio in the right triangle

cos51° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{12.8}{AB}[/tex] ( multiply both sides by AB )

AB × cos51° = 12.8 ( divide both sides by cos51° )

AB = [tex]\frac{12.8}{cos51}[/tex] ≈ 20.3 ( to 1 dec. place )

Find the outer perimeter of this figure.
Round your answer to the nearest hundredth.
Use 3.14 to approximate .
12.2 ft.
10 ft.
6 ft.
14 ft.
P = [?] ft.

Answers

Answer:

61.90

Step-by-step explanation:

12.2+14+14+6=46.2

of semi circle

circumference of semi circle = [tex]\pi[/tex]d

[tex]\pi[/tex]x10 = 10[tex]\pi[/tex]

semi circle so divide by 2 = 5[tex]\pi[/tex]

5[tex]\pi[/tex] = 15.7

46.2 + 15.7 = 61.9

pls answer the question i am mark in brainlist​

Answers

Answer:

x = -2

Step-by-step explanation:

Given: [tex]\textsf{$\dfrac{x+3}{x+4}=\dfrac{x+5}{x+8}$}[/tex]

1. Cross-multiply

(x + 3)(x + 8) = (x + 5)(x + 4)

2. Distribute

⟹ (x + 3)(x + 8) = (x + 5)(x + 4)

⟹ x(x) + x(8) + 3(x) + 3(8) = x(x) + x(4) + 5(x) + 5(4)

⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20

3. Combine like terms

⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20

⟹ x² + 11x + 24 = x² + 9x + 20

4. Subtract x² from both sides

⟹ x² - x² + 11x + 24 = x² - x²  + 9x + 20

⟹ 11x + 24 = 9x + 20

5. Subtract 24 from both sides

⟹ 11x + 24 - 24 = 9x + 20 - 24

⟹ 11x = 9x - 4

6. Subtract 9x from both sides

⟹ 11x = 9x - 4

⟹ 11x - 9x = 9x - 9x - 4

⟹ 2x = -4

7. Divide both sides by 2 to isolate the variable

⟹ 2x ÷ 2 = -4 ÷ 2

x = -2

inserts a digit to make numbers that are divisable by 24 if its possiable 38_36

Answers

Answer:

168

Step-by-step explanation:

Frank joined a fitness club. He paid a $50 registration fee, and dues are $12 per month. Which expression can be used to find the average monthly cost of an x-month membership at the club?

Answers

Step-by-step explanation:

b is the answer y=50+12x/x

As we can get the information

the registration fee is fixed, but the dues is

increased with the Month.

so the average monthly cost

answer y=50+12x/x

An ice cream shop will allow you to build your own sundae. You must choose from vanilla, chocolate, or strawberry ice cream. You must choose with or without bananas, with or without nuts, and must pick between chocolate and caramel syrup. How many sundaes can you build?​

Answers

Answer: 24

Step-by-step explanation: 3*2*2*2=24

You can build 24 sundaes

g(x) = x² + x
Evaluate g (a)



Reviewing for up and coming final please help

Answers

Answer:

g(a) = a² + a

Step-by-step explanation:

g(x) = x² + x

put x = a

:- g(a) = a² + a

[tex]g(x) = x^2 +x\\ \\g(a) =a^2 +a = a(a+1)[/tex]

Can you please help me with these two lol. Im weak with this type of math. Brainlist to whoever helps. +40 points. lol

Answers

Answer:

See below ~

Step-by-step explanation:

Volume of prism :

Base Area x Height9 x 3 1/29 x 3.531 1/2 in³

Volume of small-size box of dog treats :

3/10 x 3 1/4 x 7 1/2 x 123/10 x 13/4 x 15/2 x 123/10 x 13 x 15/2 x 31755/20351/487 3/4 in³

Which equation is equal to y = 2x + 3 ?
the options are
y + 3 = 2x

y - 3 - 2x = 0

2x + y = 3

y + 2x = -3

Answers

The equation y = 2x + 3 is a linear equation, and the equivalent equation of y = 2x + 3 is y - 3 - 2x = 0

How to determine the equal equation?

The equation is given as:

y = 2x + 3

Subtract 3 from both sides

y - 3 = 2x

Subtract 2x from both sides

y - 3 - 2x = 0

The above means that the equation y - 3 - 2x = 0 is equal to the equation  y = 2x + 3

Hence, the equivalent equation of y = 2x + 3 is y - 3 - 2x = 0

Read more about equivalent equations at:

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Identify the terms, coefficients, and constants in the expression 20x+13.

Answers

Answer: coeficient is 20 and the constant which is 13

Step-by-step explanation:

Below is the work a student completed with an error. Identify the step where the error first occured an
Step 1: (7 - 10) – 2(6y - 5) + 17
Step 2: (3) - 12y – 5 + 17
Step 3:3 - 12y + 12
Step 4: - 12y + 15
А
Step 2
B
Step 3
C
Step 4
D
Answer should be 12y - 9
E
Answer should be 12y + 9
C2022 Illuminate Education, Inc.
TM

Answers

Answer:

Step 2

Step-by-step explanation:

Solving

(7 - 10) - 2(6y - 5) + 17 [Step 1]3 - 12y + 10 + 18 [Step 2]3 - 12y + 28 [Step 3]-12y + 31 [Step 4]

The error has occurred in Step 2.

The distribution of -2 to 6y and -5 gives -12y and 10 respectively.

Instead, the distribution has not happened between -2 and -5.

The elements magnesium (mg) and calcium (ca) play vital roles in maintaining human health, including processes like bone building. the majority of americans have lower levels of magnesium than health experts recommend. do some research in order to propose a possible hypothesis that could explain this phenomenon.

Answers

The reason why Americans have lower levels of magnesium than health experts recommend is because of the prevalence of processed food.

What are nutrients?

The nutrients in food are those components of food that serve the purpose of nourishing our body. The nutrients present in processed food are different from those present in natural food.

Since many Americans eat a lot of processed instead of natural food, they often lack magnesium which is often absent in processed food.

Learn more about processed food:https://brainly.com/question/27044001

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Write'15 cubed' as a power.​

Answers

Answer:

[tex]15^{3}[/tex]

Step-by-step explanation:

[tex]15^{3} =(15)(15)(15)=3375[/tex]

Hope this helps

x^2+9=0? I need to find the solutions

Answers

Answer:

[tex]x=\pm 3i[/tex]

Step-by-step explanation:

[tex]x^2+9=0\\x^2=-9\\x=\pm 3i[/tex]

Because you cannot take the square root of a negative number to produce a real solution, then the result will be two conjugate complex numbers (hence the ± sign).

what is the slope of the line 6x+5y=10 ?

Answers

Answer:

[tex]-\dfrac 65[/tex]

Step-by-step explanation:

[tex]~~~~~~~6x +5y = 10\\\\\implies 5y = 10-6x\\\\\implies y = \dfrac 15(10-6x)\\\\\implies y=-\dfrac65x+2\\\\\text{It is now in slope-intercept form(y=mx+c), where m is the slope.}\\ \\\text{Hence,}~ m = -\dfrac 65[/tex]

The first sequence rule is multiply by 4 starting from 7. The second sequence rule is add 5 starting from 8. What is the first number that appears in both sequences?

28
56
112
225

Answers

Answer:

28

Step-by-step explanation:

28 is the number that appears first for both.

For first sequence:

7 × 4 = 28 × 4 = 112 × 4 = 448

For second sequence:

8 + 5 = 13 + 5 = 18 + 5 = 23 + 5 = 28

x2 + 3x + 1 = 5. know the answer but need to understand how?

Answers

Answer:

[tex]x=-4,\: x=1[/tex]

Step-by-step explanation:

[tex]x^2+3x+1=5\\\\x^2+3x-4=0\\\\(x+4)(x-1)=0\\\\x=-4,\: x=1[/tex]

Make sure you use the Zero Product Property to solve for each factor when the equation is set equal to 0 and can be factored.

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