What rule is used to simplify exponents when multiplying polynomials?

Answers

Answer 1

Answer:

product rule

To multiply exponential terms with the same base, simply add the exponents. Simplify. The base of both exponents is a, so the product rule applies. Add the exponents with a common base


Related Questions

The ratio of the perimeters of two squares is 2:3. If the
area of the larger square is 324 square feet, what is the length, in feet, of the side of the smaller square?

Answers

2:3 would be the right feet.

Where the above ratio are given, the length of the side of the smaller square is approximately 14.7 feet.

How to compute the above

The area of a square is calculated by squaring the length of its side. Given that the area of the larger square is 324 square feet, we have:

(3/2)x² = 324

To solve for x, we can rearrange the equation and take the square root of both sides  -

x² = (324 * 2) / 3

x² = 216

x ≈ √216

x ≈ 14.7

Hence , the length of the side of the smaller square is approximately 14.7 feet.

Learn more about ratio at:

https://brainly.com/question/12024093

#SPJ2

A company makes 150 bags.
23 of the bags have buttons but no zips.
35 of the bags have zips but no buttons.
49 of the bags have neither zips nor buttons.
How many bags have zips on them?

Answers

35 because it was the only time zips was mentioned being on the bag

Part B What is the unit for Warren’s data?
This is due tommorrow at 12:44PM!!!!!!!!

Answers

Answer: The unit for Warren’s data is the number of cars sold each day.

Sorry for the answer being so late!

What is the radius and diameter of the following circle?
7 cm
Radius
cm
Diameter =
cm

Answers

The guys is lying he is gonna get your up 7373

HELP ASAP! PLZZZZZZZZZZZZ

Answers

wait i think it’s literally 6 times 11 which is 66

What is the lateral surface area of the square pyramid represented by this net?
Enter your answer in the box

__ft² ​

Answers

The surface area is 340ft^2

Answer:

240ft

Step-by-step explanation:

took test

4. What is the slope of the graph of x – 2y = 8?

Answers

Answer:

The slope is 1/2

Step-by-step explanation:

Use the slope-intercept form  y  =  m x + b  to find the slope  m

Hope this helps:)

PLEASE HELP QUICKKKKK WILL GIVE BRAINLY
Question 2 (02.03)

Figure TUVW is transformed to T’U’V’W’, as shown:



Which of the following sequences of transformations is used to obtain figure T’U’V’W’ from TUVW?


1. Reflection about the y-axis followed by a translation left by 2 units

2. Reflection about the x-axis followed by a translation left by 2 units

3. Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units

4. Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units

Answers

I can’t see the figure

The graph of f (2) is shown as a dashed curve.
10
8
1
6
1
1
4
1
1
2
0
2
4
-6
-8
-10
-10
8
6
2
0
2
8
10

Answers

Answer:

???

Step-by-step explanation:

what is 37.13 + 21.03 =

Answers

Answer:

58.16

Step-by-step explanation:

is the answer

easy question

Solve the equation 8x= 2/3 what does x stand for

Answers

Answer:

x=1/12

Step-by-step explanation:

Answer:

x = 1/12

Step-by-step explanation:

8x = 2/3

divide both sides of the equation by 8:

x = 2/24 = 1/12

About how many times larger is 7.9×10^4 than 2.1×10^3?

Answers

Answer:

37.619047619 times larger

Step-by-step explanation:

7.9 × 10000

79000

2.1 × 1000

2100

79000 > 2100

79000 ÷ 2100

37.619047619

Necesito la versió en español plz 32

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known at 0.5 minutes. We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes. Use a = 0.05. The test statistic is a 1.96 b. 1.64 c. 2.00 d. 0.056 The p-value is a. 0.0456 b. 0.0482 c. 0.4772 d. 0.9759 e. 0.9772 At the 5% level, you a. fail to reject the null hypothesis b. reject the null hypothesis

Answers

Answer:

The test statistic is c. 2.00

The p-value is a. 0.0456

At the 5% level, you b. reject the null hypothesis

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.

This means that the mean and the alternate hypothesis are:

Null: [tex]H_{0} = 3[/tex]

Alternate: [tex]H_{a} = 3[/tex]

The test-statistic is given by:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Sample of 100 customers.

This means that [tex]n = 100[/tex]

3 tested at the null hypothesis

This means that [tex]\mu = 3[/tex]

The average length of time it took the customers in the sample to check out was 3.1 minutes.

This means that [tex]X = 3.1[/tex]

The population standard deviation is known at 0.5 minutes.

This means that [tex]\sigma = 0.5[/tex]

Value of the test-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}[/tex]

[tex]z = 2[/tex]

The test statistic is z = 2.

The p-value is

Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.

z = 2 has a pvalue of 0.9772

2*(1 - 0.9772) = 2*0.0228 = 0.0456

At the 5% level

0.0456 < 0.05, which means that the null hypothesis is rejected.

help what’s the total lol i’m confused

Answers

Answer:

45

Step-by-step explanation:

brainliest?

Mrs Loke had 2920 buttons. She packed them into packets of 8 buttons. (a) How many packets of 8 buttons did she pack? (b) If she were to pack all her buttons into packets of 5 buttons, how many fewer packets of 8 buttons than 5 buttons would she get?​

Answers

365 packets of 8 and 584 packets of 5 and she would have 219 fewer 8 button packets

please help me out with this​

Answers

Answer:

1) Since 4(5+x) is 4*5+4*x, and because 4*5+4*x is

IXL box plots for 6th grade
PLEASE HELP ASAP IM DIEING HERE

Answers

Answer:

IQR = 8

Step-by-step explanation:

IQR is the difference between the 3rd quartile (12 in this case) and the 1st quartile (4 in this case)

If you flip a fair coin 5 times, what is the probability that you will get exactly 2 tails?

Answers

Answer:

.81

Step-by-step explanation:

What is the range of the relation in the table below? у -2,0 -1,2 0,4 1,2 2,0​

Answers

Answer:

6

Step-by-step explanation:

Range : hightest number - lowest number

4 - (-2)

If the critic rates a total of 100 movies, what is the best prediction for the number of movies she gives exactly 3 stars?
А
27
B
47
50
D
35

Answers

Answer:

I think its gonna be 35 I'm not sure

What is the area of the triangle?

Answers

40 right? Because base times height divided by two is area of a triangle

Answer:

52

Step-by-step explanation:

Paula ran 24 ft with the football and then passed it 15 feet to Newt. Newt ran 70 yards for a touchdown. What was the total number of feet the ball traveled?

Please tell me how you did it and give me the problem on how u did it

Answers

Answer:

249 ft

Step-by-step explanation:

70yd=210 ft   so  210+15+24=249

Answer:

249 ft

Step-by-step explanation:

24 + 15 = 39

39/3 = 13

13 + 70 = 83

83 * 3 = 249

OMG PLEASE PLEASE PLEASE HELP!!!! I NEED THISS DONE ASAP!! Pleaseeee giving brainlest!!

Answers

Answer:

triangular prism

Answer:

it will be triangular prism

Is (9, 2) a solution to the system below?
x−4y=1, 2x−3y=3
1. Yes. (9, 2) is a solution to the system
2. No. (9, 2) is only a solution for the equation
3. No, (9, 2) is only a solution for the equation
4. No. (9, 2) is not a solution for either equation.

Answers

c sorry if i’m wrong btw

2 questions plz Both will be in the comments​

Answers

The two questions aren’t there?

The ratio table below shows the relationship between the weight of apples purchased and the total cost of the apples. Apple Cost Weight (lb) Total cost ($) 1 2 8 6 12 10 20 When the weight of apples is increased by a factor of 4, by what factor does the total cost increase? 3 6 08​

Answers

Answer:

8

Step-by-step explanation:

Guys what will be the population in five years.

I don’t know what i did wrong please help

Answers

Answer:

4990

Step-by-step explanation:

Multiply 638 by 5 then add 1800 and that's your answer

Answer:

4990

Step-by-step explanation:

638 x 5 = 3190

There is already a population of 1800, so then you add 3190 and 1800 to get 4900. The reason you add these numbers is because the population grows by 638 every year. They want to know how much it will grow in 5 years. You you multiply n (number) by y (year) to get t ( total).

Hope this helps!

Yours Truel, TheAnimeCatUwU


Helpppppppppp plsssssss

Answers

Answer:

1.05

Step-by-step explanation:

shop A: 2x3= 6

shop b: 5 for 1.10, 5 more for .55, so 1.65/10

1.65×3= 4.95

6-4.95= 1.05

Find the surface area, given that the area of each hexagon is 166 square feet.

Answers

Answer:

1148 square feet

Step-by-step explanation:

7)
Given the function f(x) = 2x^3 - 18x^2 + 36x + 12, find f(2).
A)
f(2)= 20
B)
f(2) = 24
f(2)= 28
D)
f(2)= 32

Answers

Answer:

f(2) = 28

Step-by-step explanation:

f(2) = 2(2³) - 18(2²) + 36(2) + 12

= 2(8) - 18(4) + 72 + 12

= 16 - 72 + 72 + 12

= 16 + 12

= 28

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