how do you multiply powers that have the same base

Answers

Answer 1

Answer:

The exponent "product rule" tells us that, when multiplying two powers that have the same base you can add the exponents in this example you can see how it works. Adding the exponents Is just a short cut! the "power rule" tells us that raise power to a power, just multiply the exponents


Related Questions

2.75 + (-2)+(-6.25)
I am so bad at math please help me

Answers

Answer:

-5.5

Step-by-step explanation:

2.75+(-2)+(-6.25)=-5.5

-5.5 :))


hope this helped :))

find the difference between the product of -9.5 and 6.4 and their sum​

Answers

Answer:

-60.8-(-3.1)= -57.7

Explain:

(-9.5)6.4 = -60.8

(-9.5) + 6.4 = -3.1

In the bronze medal game of the 2014 FIBA Asia Cup, and with his team down by two points, Philippines guard Paul Dalistan was fouled while attempting a three-pointer at the buzzer. He missed the shot and headed to the free throw line for three foul shots. Dalistan’s free throw percentage is 84.6.

Answers

Complete Question

Question: In the bronze medal game of the 2014 FIBA Asia Cup... In the bronze medal game of the 2014 FIBA Asia Cup, and with his team down by two points, Philippines guard Paul Dalistan was fouled while attempting a three-pointer at the buzzer. He missed the shot and headed to the line for three foul shots.

1. Watch the video of Dalistan preparing to take his first shot. Before he shoots, what is the probability that Philippines will win the game? Lose the game? Send it into overtime? Dalistan’s free throw percentage is 84.6%

Answer:

a

    The probability that Philippines will win the game is   [tex]P(A) =  0.6055 [/tex]

b

   The probability that Philippines will lose the game is [tex]P(B) =  0.00365[/tex]

c

  The probability that the game will be sent to overtime  is [tex]P(C) =  0.06 [/tex]

Step-by-step explanation:

From the question we are told that

    The  probability of  Paul Dalistan making a shot is  p  =  0.846

   The probability of  Paul Dalistan not making the shot is  [tex]q = 1- p = 1- 0.846=0.154[/tex]

     Paul Dalistan team was down by two points

This mean that for Paul Dalistan's  team to win the game he must make the 3 free throws

So the probability that Philippines will win the game is mathematically represented as

    [tex]P(A) =   p^3 [/tex]

=>  [tex]P(A) =  0.846^3[/tex]

=>  [tex]P(A) =  0.6055 [/tex]

Gnerally for Paul Dalistan's  team to loss the game it means that Paul Dalistan did not make any of the free shot

Hence the probability that Philippines will loss the game is  

     [tex]P(B) =  q^3[/tex]

=>  [tex]P(B) =  (0.154 )^3[/tex]

=>  [tex]P(B) =  0.00365[/tex]

Generally for the game to be sent to overtime  then the game must be tied and for the game to be tied, Paul Dalistan have to make 2 out of the three shots

   Hence the probability that game will go to overtime is  

          [tex]P(C) =  3 *  0.846 *  0.154  *  0.154[/tex]

         [tex]P(C) =  0.06 [/tex]

simplifying radicals pt.6 please help ASAP and explain if possible

Answers

Answer:

[tex]6\sqrt{15}[/tex] or decimal form 23.23790007...

Step-by-step explanation:

Rewrite 540 as [tex]6^{2}[/tex] * 15

Factor 36 out of 540 .

[tex]\sqrt{36 (15)}[/tex]

Rewrite 36 as [tex]6^{2}[/tex].

[tex]\sqrt{6^2*15}[/tex]

Pull the terms out from under the radical.

[tex]6\sqrt{15}[/tex]

can someone tell me what's happening here? jk don't just help me answer this plzzzzz

7x+4-2x=6(x+1)-x

Answers

Answer:

the sides are not equal

Step-by-step explanation:

7x + 4 - 2x = 6(x + 1) - x     expand

7x + 4 - 2x = 6x + 6 - x      combine similar terms

7x - 6x - 2x + x = 6 - 4

                  0 = 2    ------ no solution

In the figure shown, FG is tangent to circle D.
DO
G
What is the relationship between DG and FG?
O A. DG is parallel to FG
O B. DG is perpendicular to FG.
OC DG Intersects FG to form an acute angle.
ODDO intersects FG to form an obtuse angle

Answers

Answer:

Option B

Step-by-step explanation:

From the figure attached,

Circle D is drawn with the radius = DG or DE

A tangent FG has been drawn at a point G on the circle from an external point F.

By theorem,

Radius of a circle is always perpendicular to the tangent, drawn to the circle from an external point.

Therefore, DG ⊥ FG.

Option B will be the correct option.

Answer: B

Step-by-step explanation: good luck!:)

Which of the given values is the greatest

A) 0.325
B)0.42
C)1/8
D)2/5

Answers

Answer:

I think the answer is d) 2/5

Answer:

B

B is the answer

6x + 2 = 5x + 17, would there be one unique solution? What is it?

Answers

Answer:

X = 15

Step-by-step explanation:

1.- Rewrite the equation, Put like terms on the same side

6x - 5x = 2 - 17

Instead of adding subtract

2.- Divide 1 on both sides

1x = 15

You should only have X on the left side

3.- You should have

X = 15

Kai took five tests this semester. His scores are listed below.

92, 88, 90, 96, 84

What is the mean absolute deviation of Kai's test scores?

Answers

Answer:

90

Step-by-step explanation:

add them, then divide the answer by 5, because there are 5 numbers

A pair of jeans was 25% off the original price. The sale resulted in a $24 discount. What was the original cost of the jeans before the sale?

Answers

Answer:

The original cost of the jeans before the sale was 30$

Step-by-step explanation:

NEED ANSWER STAT
A theme park costs $25.00 to enter. One of the food stands within the park sells hot dogs for $2.50 each and hamburgers for $3.50 each. If Paul enters the park, walks to the food stand, and purchases hot dogs and hamburgers, the amount of money he spends can be modeled by the expression below.

2.5d+3.5b+25
2.5d+3.5b+25

Which of the following are correct interpretations for parts of this expression? Choose ALL that apply.
A.
2.5d represents the cost of entering the park
B.
2.5d represents the cost of purchasing d hot dogs
C.
2.5d represents the cost of purchasing d hamburgers
D.
3.5b represents the cost of entering the park
E.
3.5b represents the cost of purchasing b hot dogs
F.
3.5b represents the cost of purchasing b hamburgers
G.
25 represents the cost of entering the park

Answers

Answer:

B, F, G

Step-by-step explanation:

Answer:

B, F, G

Step-by-step explanation:

can u help, its vertical angles

Answers

Answer:

85 + 95=180

Step-by-step explanation:

just subtract 85 from 180 to get x

85-180=... then you will get your answer

Find m angle Y
(6x – 23)

(4х + 9)

m angle Y = ?
a
54
b
34
C
73
d
16

Answers

Answer:

m<y= 34

Step-by-step explanation...

6x-23=4x+9

2x=32

x=16

m<y+m<z=180

m<y=73+73=180

m<y=34

An isosceles triangle is a two-dimensional figure which has two equal sides and the two angles opposite to the equal sides are equal.

The sum of the three angles is equal to 180 degrees.

The value of angle m∠Y is 34°.

Option B is the correct answer.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Isosceles triangle:

Two sides are equal.

The angles opposite to the equal sides are also equal.

So,

From the figure we have,

6x - 23 = 4x + 9

Add 23 on both sides.

6x - 23 + 23 = 4x + 9 + 23

6x = 4x + 32

Subtract 4x on both sides.

6x - 4x = 4x + 32 - 4x

2x = 32

Divide both sides by 2.

x = 32/2

x = 16

The sum of the three angles of the Isosceles triangle given must be 180 degrees.

6x - 23 + 4x + 9 + m∠Y = 180

Put x = 16

6x16 - 23 + 4x16 + 9 + m∠Y = 180

96 - 23 + 64 + 9 + m∠Y = 180

146 + m∠Y = 180

Subtract 146 on both sides.

m∠Y = 180 - 146

m∠Y = 34

Thus,

The value of angle m∠Y is 34°.

Option B is the correct answer.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

What is the minimum point of the graph of the equation y = 5x2 - 30x?

Answers

Answer:

10-30x=-20x,i hope i help u :)

Three scenarios are given in parts a through c below. For each​ scenario, determine the sampling method used by the managers. ​a) The managers select a single branch at random and survey every employee of that branch. A. The managers used a systematic sample. B. The managers used a multistage sample. C. The managers used a cluster sample. D. The managers used a stratified sample. E. The managers used a simple random sample. ​b) The managers use the company​ e-mail directory to contact every 3030th employee on the list. Choose the correct sampling method below. A. The managers used a cluster sample. B. The managers used a multistage sample. C. The managers used a stratified sample. D. The managers used a systematic sample. E. The managers used a simple random sample. ​c) The managers split the company into​ divisions, with each division containing employees that have similar jobs. Within each​ division, they select a SRS of employees to contact. Choose the correct sampling

Answers

Answer:

1. C. The managers used a cluster sample

2.  B)The managers used a systematic sample.

3. The managers used a stratified sample.

Step-by-step explanation:

1. In a cluster sampling method, the population would be divided into several small units called cluster by the researcher. Within these clusters we randomly pick one or more to observe.

2. In systematic sampling we select elements from an ordered sampling frame.

3. In stratified sampling, the population is divided into several stratas and the researcher then selects randomly to complete the sampling process

what are the common factors of 24 and 36
A. 1,3,4,9,18
B. 1,2,4,6,12
C. 1,2,3,4,1,2
D. 1,2,3,4,6,8,12

Answers

Answer:

b.

Step-by-step explanation:

For this u have to use HCF

Common factors are 1,2,2 and 3

If u multiply u will be able to get the answer.

Mark me the brainliest

Find the greatest common factor of 35 and 26

Answers

Answer:

1

Step-by-step explanation:

The factors of 26 are:

1, 2, 13, 26

The factors of 35 are:

1, 5, 7, 35

The common factors are:

1

The required greatest common factor(GCF) of 35 and 26 is 1.

What is the Greatest Common Factor (GCF)?

The greatest Common Factor is defined as the greatest number that is a factor of both numbers when two numbers are involved.

A number that divides into another number completely is said to be a factor.

The numbers are given in the question, as follows:

35 and 26

We have to determine the greatest common factor of 35 and 26

Prime factorization of the numbers:

35 = 5 × 7

26 = 2 × 13

GCF(35, 26)

= 1

Hence, the required greatest common factor of 35 and 26 is 1.

Learn more about  the Greatest Common Factor here:

brainly.com/question/18905667

#SPJ2

If 4 video games cost $78, how much do 8 video games cost?

Answers

Answer:

156 dollars is how much 8 video games cost

Answer:

132.8

Step-by-step explanation:

first divide 78 by 4 wich is 16.6 then multiply 16.6by 8 and you get 132.8

For an upcoming field trip, there will be 36 fifth graders and 48 sixth graders. Each van will carry the same number of students, and only students from one grade. If each van will carry the greatest possible number of students, how many vans will be needed?

Answers

Answer:

7 Vans will be needed

Step-by-step explanation:

Just solve for 50 points and brainliest!

10+10-7=

6-10+15=

Answers

Answer:

13

11

Step-by-step explanation:

5x²y + 35x²y + 50 xy

HELP ME FACTOR THIS PLEASE!!!

Answers

Answer:

10xy(4x+5)

Step-by-step explanation:

Hope that helped :)

The answer fam is.........10xy(4x+5)

what's the sum of 2 plus 2​

Answers

Answer:

4

Step-by-step explanation:

Answer:

the sum is 4 and can i have brainliest? please i really need it

Step-by-step explanation:

Which of the following irrational expressions are located between 6 and 8 on the number line? Select three that apply.​

Answers

Answer:

A) √7 + 4

B)2√15

D)√23+√8

Step-by-step explanation:

The options are:

A) √7 + 4

B)2√15

C)8-√5

D)√23+√8

E)√80-3

Analysing A.

√7+4 = 2.64575131106459 + 4

√7 + 4 = 6.64575131106459

Analysing B

2√15 = 2 * 3.87298334620741

2√15 = 7.74596669241483

Analysing C

8-√5 = 8 - 2.23606797749978

8 - √5 = 5.76393202250021

Analysing D

√23+√8 = 4.79583152331271 + 2.82842712474619

√23+√8 = 7.62425864805890

Analysing E

√80-3 = 8.94427190999915 - 3

√80-3 = 5.94427190999915

After the above analysis;

Options A, B and D answer the question

Answer: 7+4

5/15

/80-5

Step-by-step explanation:

PLZ HELPPP
What number is 70% of 60?

Answers

Answer:

42

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

42/60 = 70%

(Hope I helped)

BRAINLIEST!!! easy question

Answers

Answer:

x=10 degrees

Step-by-step explanation:

Becuase we know this is a 90 degree angle, we can just say that angle BAF+FAE=90 degrees.

Simplifying, we get

9x=90

or x=10

Answer:

18 degrees hope this helps

Step-by-step explanation:

please give me brainliest i need 4 more brainliests so plz be a good friend and help me plz.

What is the midpoint between n(- 4, 4) and (- 2, 2)

Answers

(-3,3) is the midpoint between the two

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box box of paper weighs 25 pounds and each large box of paper weighs 70 pounds. A total of 21 boxes of paper were shipped weighing 1110 pounds altogether. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

Answers

Answer:

25s+70l=1110

s+l=21

2. Martin has $100 to buy a new MP3 player and music. The MP3 player costs $85 and each song download
costs $1.50. How many songs can Martin afford?
a. 85+1.50d 5 100
b. 85d +1.50 < 100
C. 85+1.50d < 100
d. 1.50d + 100 < 85

Answers

i believe the answer would be A:)

Lin-Manuel runs a rare book store. Last year, he earned $35,000 in revenue and had explicit costs of $8,000. Lin-Manuel could have made $29,750 testing information security equipment and received an additional $10,000 if he had used the company's inputs in a different way. Calculate Lin-Manuel's economic profit.

Answers

Answer: Economic loss of $12,750

Step-by-step explanation:

Economic profit is calculated by deducting both the implicit and the explicit costs from income.

Explicit cost are the costs of running the business whilst implicit costs are the gains that could have been earned if other alternatives had been embarked on.

Economic profit (loss);

= 35,000 - 8,000 - 29,750 - 10,000

= (12,750)

the complement angle of 40 degree is

Answers

Answer:

50 degree angle

Step-by-step explanation:

Complementary angles add up to 90 degrees

Other Questions
The graph shows how the mass of copperchanges as the volume of the element changesand the density remains constant.*picture*Which of these bests represents the rate of thechange in the mass of copper with respect to thevolume? a.4/33 g/cm^3 b.19/41 g/cm^3c.8 1/4 g/cm^3d.4 4/7 g/cm^3 A certain video game console uses 154 watt-hours of energy each hour.The console used 276 hours last year.How many watt-hours of energy did the console use?Use any method to solve this problem. You must show all your work.Then, explain your reasoning and the steps you took to solve the problem. HELP!!! In the "Monster study," what did psychologists tell the group of orphans who did not suffer from stuttering?A.They were told that they werent really stutterers.B.They were told that they had very severe cases of stuttering.C.They were told that stuttering could be overcome with practice.D.They were told that their parents were responsible for their stuttering.Please select the best answer from the choices providedABCD which is the most significant impact of the French and Indian war on the thirteenth colonies If an HR manager is reviewing a list of interview questions to ensure that they will accurately measure the employee characteristics she is looking for, she is checking for...reliability cognitiontrustworthinessvalidity If you have all of the answers to this quiz may you please help me out i am struggling with this What is the percent yield for the reaction below when705.0 g SO2 and 80.0 g 02 produce 586.0 g S03?2802(g) + O2(g) 2503(9) Which type of landform creates a natural barrier around the city of New Orleans?hillslakesmountainswetlands what is the density of an object with a mass of 100 grams and a volume of 50 cm For what value of k will the vector (1, -2, k) in be a linear combination of the vectors (3, 0, -2) and (2, -1, -5) ? Can someone help please 1) Convince Me!Suppose each section of thetheater has only 45 seats.How many sections would beneeded to seat 428 people? Business professionals often use the acronym SMART to describe good business goals. What does the acronym stand for?The acronym SMART stands for Specific, , Achievable, Realistic, and . If a state passes a law regarding immigration and it conflicts with a federal law on immigration, which law will be upheld? If a marathon runner runs a distance of 5 km (kilometers) in 45 minutes. What is his speed? FACTOR: 25x4y2z + 15x2y3 In which way is the sound of the violin different from the sound of the viol?O A. The violin plays lower notes.B. The violin is easier to play in tune.O C. The violin has a wider dynamic range.D. The violin has a darker sound.Please help hello everyone. i want to remind everyone to take a break and take care of themselvestake a minute to breathhow are you feelingif you feel overwhelmed, you are not aloneeverything will be okaylook at the sealit's so cute d. Does 4 + 25 is equal to 4 + 25? Explain AppsWhat do you already know about mass, weight, and gravity? Mi madre prohibe que yo (almorzar) en la cafeteria. Prefiere (prepararme) sndwiches y fruta. El recepcionista quiere (llamar) al jefe para quejarse del botones Es mejor que el botones (bellhop) (llevar) el equipaje a las habitaciones. Nuestros padres permiten que (asistir) a sus conciertos y mi hermana siempre insiste en que nosotras (bailar). Alberto prefiere Insiste en que yo (cocinar). (lavar) los platos