Which expression is equivalent to am ÷ an?

am − n
am + n
am ⋅ n
am ÷ n

Answers

Answer 1

I would try am-n
just because you're dividing an from am
so you're taking away n .
Either that or am divided by n.
not 100% sure but this is my suggestion

Answer 2

The equivalent expression is a^m − n

What are properties of exponents?

The properties of exponents are mentioned below.

Law of Product: a^m × a^n = a^m+nLaw of Quotient: a^m/a^n = a^m-nLaw of Zero Exponent: a^0 = 1Law of Negative Exponent: a^-m = 1/a^mLaw of Power of a Power: (a^m)^n = a^mnLaw of Power of a Product: (ab)^m = a^m*b^mLaw of Power of a Quotient: (a/b)^m = a^m/b^m

Given expression:

am ÷ an

Now, using the law of exponents we have

a^m ÷ a^n

=a^(m-n)

Hence, the equivalent expression is a^m − n

Learn more about exponents and powers here:

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Related Questions

Can someone tell me a disaster that happened in America in the ocean (besides Deepwater Horizon). Thanks!!

Answers

The Prudhoe Bay oil spill, which occurred in 2006 in Alaska, is an example of a American oceanic disaster.

Which options show the correct steps for finding the x-coordinate of the vertex in the equation y=x^2+6x+8?

Answers

hello :
y = (x² +2(3)x +3²) -3²+8
y= (x+3)² -1
the vertex is : (-3 , -1)

rewrite 7/11 as a division problem

Answers

it would be 7 divided by 11( note: always divide the top by the bottom)

What is the ratio of the area of sector ABC to the area of sector DBE?
I am not quite sure how to do this. So far, since there are variables instead of numbers, I have got (pi)(r)^2:(pi)(3r)^2, but I know that is definitely wrong.

Answers

[tex]\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}\qquad \begin{cases} \theta =\textit{angle in degrees}\\ r=radius \end{cases}\\\\ -------------------------------\\\\[/tex]

[tex]\bf \cfrac{\triangleleft ABC}{\triangleleft DBE}\qquad \cfrac{\frac{\beta \pi (2r)^2}{360}}{\frac{3\beta \pi (r)^2}{360}}\implies \cfrac{\beta \pi (2r)^2}{360}\cdot \cfrac{360}{3\beta \pi (r)^2}\implies \cfrac{\beta \pi 2^2r^2}{360}\cdot \cfrac{360}{3\beta \pi r^2} \\\\\\ \cfrac{\beta \pi 4r^2}{3\beta \pi r^2}\implies \cfrac{4}{3}[/tex]

Answer:

4/3

Step-by-step explanation:

In early spring, you are wanting to purchase 6 potted rose plants. The plants to choose from come in 8-inch pots that sell for $12 and 10-inch pots that sell fro $15. If you spend $78, which of the following are the equations for this scenario? Let x= number of 8 inch pots and let y = number of 10 - inch pots.

A. y+15y=6
12x+x=78

B. x+y=6
12x+15y=78

C. x+y=78
12x +15y=6(78

D. x+y=6
15x+12y=78

E. No solution

Answers

Things we know:
Six total pots = # of 10" + # of 8"
$78 total = cost of 10" + cost of 8"

So:
6 = x +y
and
78 = x*(cost of x) + y * (cost of y)
78 = x*12 + y*15

We need:
x+y=6 AND 12x+15y=78

So our answer can only be B.

The ratio of girls to boys is 5 to 6. If there are 72 boys, how many girls are there?

Answers

Answer: 60 girls
If the ratio of girls to boys is 5 to 6, it can be written as 5/6. You can use cross multiplication to figure out how many girls there are if there are 72 boys by setting the number of girls equal to x and dividing it by 72 like so: [tex] \frac{5}{6}= \frac{x}{72}[/tex]

After multiplying 5 and 72, and 6 and x, you get the equation [tex]360=6x[/tex]. To find the number of girls, all you have to do is divide by 6, which leaves you with [tex]x=60[/tex], meaning there are 60 girls when there are 72 boys based on the ratio 5:6 (girls to boys).

A car travels around a circular track. The inside wheels follow along the line of the inner circle, and the outer wheels follow along the line of the larger circle. The radius of the larger circle is 25 ft, and the radius of the smaller circle is 21 ft. Determine how much farther the outer wheels would travel than the inner wheels after one revolution.

Answers

So, basically what they are asking for is the circumference (which is like the perimeter) of the inner and outer circles.

Circumference is: C = 2πr

The radius of the two circles are given so all you need to do is plug it in.

Circumference of the bigger circle (outer tire) is 157ft. Circumference of the smaller circle (inner tire) is 132ft.

The exact answer is 157.07-131.88 = 25.19ft ≈ 25ft

Answer:

Step-by-step explanation:

Identify each function as a constant, direct variation, absolute value, or greatest integer function.
g (x)=x+3

Answers

None of those describe this function.

It's not a constant function, because it is not equal to a constant (something that isn't a variable)

It doesn't show direct variation, because it can't be represented in the form
y = kx.

It isn't an absolute value function because the absolute value isn't taken anywhere.
If it was an absolute value function it would look something like this:
[tex]g(x) = |x+3|[/tex]

It isn't a greatest integer function, because the greatest integer isn't taken anywhere.
If it was a greatest integer function it would look something like this:
[tex]g(x) = \left \lfloor{x + 3}\right \rfloor[/tex]

Are you sure you typed that question right?

Ian has 120 folders to file. So far, he has filed 36 of the folders. What percent of the folders does he have left to file?

Answers

The fraction of the amount of folders Ian did not file out of 120 is 84/120. In order to convert this into a percent, divide both the numerator and the denominator by 1.2. You will get 70/100. This new fraction as a percent is 70%. So, he has 70% of folders left to file.

Hope the explanation helped!

The 70 percent of the folders, he have left to file.

What is a fraction?

A fraction represents a part of a number or any number of equal parts.

We are given that Ian has 120 folders to file. So far, he has filed 36 of the folders.

The fraction of the amount of folders Ian did not file out of 120 ;

84/120

= 21/30

In order to convert this into a percent, we have to divide both the numerator and the denominator by 1.2.

we will get 70/100.

This new fraction as a percent is 70%.

Therefore, he has 70% of folders left to file.

Learn more about fraction;

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When two balanced dice are rolled, there are 36 possible outcomes. what is the probability that the sum of the numbers on the dice is 6 or 10?

Answers

The probability of having a sum of either 6 or 10 is [tex]\frac{2}{9}[/tex]

The sample space has the size [tex]|S|=36[/tex]

Let

[tex]A=\text{the event of having a sum of 6}\\B=\text{the event of having a sum of 10}[/tex]

then

[tex]A=\{(1,5),(2,4),(3,3),(4,2),(5,1)\}\\|A|=5[/tex]

and

[tex]B=\{(4,6),(5,5),(6,4)\}\\|B|=3[/tex]

then, the probability of having a sum of either 6 or 10 will be

[tex]P(A\cup B)=P(A)+P(B)[/tex]

since [tex]A[/tex] and [tex]B[/tex] are mutually exclusive events. Substituting

[tex]P(A\cup B)=P(A)+P(B)\\=\frac{|A|}{|S|}+\frac{|B|}{|S|}\\=\frac{2}{9}[/tex]

Learn more about probability here: https://brainly.com/question/17136647

Final answer:

When two balanced dice are rolled, there are 36 possible outcomes. To find the probability that the sum of the numbers on the dice is 6 or 10, count the favorable outcomes and divide it by the total outcomes.

Explanation:

When two balanced dice are rolled, there are 36 possible outcomes. To find the probability that the sum of the numbers on the dice is 6 or 10, we need to count the favorable outcomes and divide it by the total outcomes.

For the sum of 6, there are 5 possible outcomes: (1,5), (2,4), (3,3), (4,2), (5,1). For the sum of 10, there are 3 possible outcomes: (4,6), (5,5), (6,4). Therefore, there are 8 favorable outcomes out of 36 total outcomes.

The probability is calculated as:

Probability = Favorable outcomes / Total outcomes = 8 / 36 = 2 / 9

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end behavior of F(x)=-x^(3-)2x^(2)+7x-10
A. The graph of the function starts high and ends high
B. The graph of the function starts low and ends low
C. The graph of the function starts high and ends low
D. The graph of the function starts low and ends high

Answers

The equation is a third-degree polynomial. The only way to know its trend is to graph it. 'F(x)' means a function of x. This could be any variable (suppose it's y). Assign values for x, you get their corresponding values of y, then plot x against y. The graph is shown in the picture. As you can observe, the answer should be letter D.

Ajay analyzed two companies and has formulated tables to model each company’s growth, where x represents the age of the companies in years and y represents growth in terms of number of employees. Company 1 Company 2
Table 1 Table 2
x l y x l y
0 l 0 0 l 1
1 l 6 1 l 6
2 l 12 2 l 36
3 l 18 2 l 216
4 l 24 4 l 1,296

If the number of employees is an indicator of a successful business, in which company should Ajay invest? company 1 because it is adding six employees each year while company 2 is multiplying its number of employees by six each year company 1 because it is multiplying its number of employees by six each year while company 2 is adding six employees each year company 2 because it is adding six employees each year while c

Answers

Answer:

Company 2 because it is gaining six times the number of employees, while Company 1 is only adding 6 employees every year.

Step-by-step explanation:

Looking at the table, the number of employees in Company 1 goes up by 6 employees per year.

The number of employees in Company 2 is multiplied by 6 every year; this means they gain more employees after the first year than Company 2 does (they go from 6 to 36, which is a gain of 30, while Company 1 goes from 6 to 12, a gain of 6).

If we are looking strictly at the number of employees, Company 2 is the better choice.

Answer:

company 2 is multiplying

Step-by-step explanation:

(06.01)What type of association does the graph show between x and y?

Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association

Answers

linear negative association, because it does represent a straight line, but it is going downward which makes it negative

A scientist measures the angle x and the distance y between the Earth and the moon. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the Earth and the Sun.

Answers

Let the distance between the earth and the sun be denoted as 'z'.
From the trigonometric rules:
tan(theta)=opposite/adjacent

In this case: theta=x , opposite=y and adjacent=z

tan(x)=y/z
All terms in the equation are known except for 'z'.
therefore the distance between the earth and the sun denoted by the symbol 'z' is equal to: y/tanx

tan =opposite/adjacent

In this case: tan =X , opposite=Y and adjacent= D

tan(x)=Y(opposite) /D(adjacent)

All terms in the equation are known except for 'D the distance'.

So the distance between the earth and the sun indicate by the symbol 'D' is equal to: y/tan(x)

A pearl is formed in one of every 10,000 oysters what percent of oysters make pearls

Answers

if a pearl is formed in 1 of every 10,000 oysters, then it would look like this

1/10000

this is equal to 0.0001

moving the decimal point 2 points to the right, you would get

0.01%

percent means parts out of 100
x%=x/100

1 in 10000
1/10000=x/100
times both sides by 100
100/10000=x
1/100=x
0.01=x

0.01% of all oysters make perls

simplify 6√1,000m^3n^12

Answers

The simplified expression is 60mn⁶.

What is factorization?

Factorization is a process to simplify the expression by finding the factors of that expression.

And to find the same expression from factors, you have to reverse the process.

Given that the expression is 6√1,000m³n¹².

We can simplify this expression by breaking down 1,000 into its prime factorization:

1,000 = 2³ x 5³

Then we can rewrite the expression as:

6√(2³ x 5³ x m³ x n¹²)

Using the properties of radicals, we can separate the factors inside the radical:

6√2³ x √5³ x √m³ x √n¹²

Simplifying each square root term:

6 x 2 x 5 x m x n⁶

= 60mn⁶

Therefore, the simplified expression is 60mn⁶.

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find the area and circumference of a circle with radius 4 in.

Answers

area = PI * radius ^ 2
area = 3.14159 * 4 ^ 2
area = 3.14159 * 16
area = 50.26544 square inches

circumference = 2 * PI * radius
circumference = 2 * 3.14159 * 4
circumference = 25.13272 inches

Answer is provided in the image attached.

simplify 4x+5/6x^2-x-12 subtract 5x/6x^2-x-12

Answers

4x+5/6x^2-x-12 - (5x/6x^2-x-12)
= (4x + 5 - 5x)/(6x^2-x-12)
= (-x + 5) / (2x - 3)(3x +4)

answer

-x + 5
---------------------
(2x - 3)(3x +4)

Suatu jenis roti memerlukan 150 gram tepung dan 50 gram mentega. Roti jenis lain memerlukan 75 gram tepung dan 75 gram mentega, produksi roti membuat sebanyak roti dan dua jenis roti itu. Bahan yang tersedia 2.250 gram tepung dan 1.250 gram mentega, berapakah banyak roti masing masing yang dibuat?

Answers

Let the one type of the bread be bread A
The second type of the bread be bread B

Let the flour be 'f' and the butter be 'b'

We need 150f + 50b for bread A and 75f + 75b for bread B

We can compare the amount of flour and bread needed for each bread and write them as ratio

FLOUR

Bread A : Bread B
150 : 75
2 : 1

We have a total of 2250gr of flour, and this amount is to be divided into the ratio of 2 parts : 1 part. There is a total of 3 parts.

2250 ÷ 3 = 750 gr for one part then multiply back into the ratio to get

Bread A : Bread B = (2×750) : (1×750) = 1500 : 750

BUTTER

Bread A : Bread B = 50 : 75 = 2 : 3

The amount of butter available, 1250 gr is to be divided into 2 parts : 3 parts.
There are 5 parts in total

1250 ÷ 5 = 250 gr for one part, then multiply this back into the ratio

Bread A: Bread B = (2×250) : (3×250) = 500 : 750

Hence, for bread A we need 1500 gr of flour and 500 gr of butter, and for bread B, we need 750 gr of flour and 750 gr of butter.

The amount of Bread Type 1 is 10 pieces

The amount of Bread Type 2 is 10 pieces

Further explanation

Simultaneous Linear Equations can be solved using one of the following methods :

Elimination MethodSubstitution MethodGraph Method

Let's try to solve the problem now.

Let :

Amount of Bread Type 1 = A

Amount of Bread Type 2 = B

1 piece of bread type 1 requires flour as much as 150 grams and 1 piece of bread type 2 requires flour as much as 75 grams, while the total amount of flour is as much as 2250 grams, then:

[tex]150A + 75B = 2250[/tex]

[tex]2A + B = 30[/tex]

[tex]\boxed{B = 30 - 2A}[/tex] → Equation 1

1 piece of bread type 1 requires butter as much as 50 grams and 1 piece of bread type 2 requires butter as much as 75 grams, while the total amount of butter is as much as 1250 grams, then:

[tex]50A + 75B = 1250[/tex]

[tex]2A + 3B = 50[/tex]

[tex]2A + 3(30 - 2A) = 50[/tex] ← Equation 1

[tex]2A + 90 - 6A = 50[/tex]

[tex]2A - 6A = 50 - 90[/tex]

[tex]-4A = -40[/tex]

[tex]A = -40 \div -4[/tex]

[tex]\large {\boxed{A = 10}}[/tex]

[tex]B = 30 - 2A[/tex]

[tex]B = 30 - 2(10)[/tex]

[tex]B = 30 - 20[/tex]

[tex]\large {\boxed{B = 10}}[/tex]

Conclusion :

The amount of Bread Type 1 is 10 pieces

The amount of Bread Type 2 is 10 pieces

Learn morePerimeter of Rectangle : https://brainly.com/question/12826246Elimination Method : https://brainly.com/question/11233927Sum of The Ages : https://brainly.com/question/11240586?

Answer details

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Elimination , Substitution , Graph , Method , Linear , Equation , Simultaneous

WILL SOMEONE HELP ME ANSWER THIS PLEASE!!!!

Luca and William are playing a video game and they have scored a total of 20,000 points. Luca scored 4,000 more points than William. If you let l= the number of points that Luca scored, and w= the number of points that William scored, then the problem can be represented by the system:

l+w=20,000 and l=w+4,000

Graph the system. How many points did each boy score?

My possible answers are:
a. William = 8,000 and Luca = 12,000
b. William = 12,000 and Luca = 8,000

d. William = 4,000 and Luca = 16,000

Answers

l+w=20000

l=w+4000

w+4000+w=20000

2w+4000=20000

2w=16000

w=8000

l = 8000 +4000 = 12000

William scored 8000, Luca scored 12000

l=w+4000

l+w=20000, using l from above in this equation yields:

(w+4000)+w=20000 combine like terms on left side

2w+4000=20000 subtract 4000 from both sides

2w=16000 divide both sides by 2

w=8000, since l=w+4000

l=8000+4000

l=12000

William=8000 and Luca=12000

A local newspaper compiles data on the number of days, X, people in a neighborhood receive the newspaper. The probability distribution for the data is shown in the table below. What is the probability that a randomly chosen person receives the newspaper at least one day per week?

Answers

The data for this problem is provided below:
x 0 1 2 5 7
P(x) 17% 16% 14% 12% 41%

Where x is number of days that a person receives the newspaper per week
and P(x) is the probability that a person will receive the newspaper according to the number of days per week

We are asked for the probability that a person receives the newspaper at least one day per week
So,
16% + 14% + 12% + 41%
= 83%

There is 83% probability that a person will receive the newspaper at least one day per week.

Answer: D 83% is the answer

Sandy has earned $290. That is 20% of the cost of the new computer she wants to buy. What is the total amount of money she needs to buy the computer?

Answers

Since 20% is equal to the fraction 1/5, you multiply $290 by 5 to get the full cost of the computer. 290*5=1,450. So, the total amount of money she needs to buy the computer is $1,450.

Hope the explanation helped!

Answer:

1450

Step-by-step explanation:

simply just multiply 290 by 5 and u get 1450 hope this helps you

A photo that is 4 in wide and 6 in high is enlarged to a poster that is 3ft wide and 4 1/2 ft high what is the ratio of the width of the photo to the width of the poster

Answers

1:9 would be the ratio

Answer:

Required ratio in the simplest form = 1 : 9

Step-by-step explanation:

Width of photo = 4 inches

Height of the photo = 6 inches

Width of the poster = 3 feet

Now, 1 feet = 12 inches

So, Width of the poster = 3 × 12 = 36 inches

Height of the poster = 4.5 feet

= 54 inches

We need to find the ratio of the width of the photo to the width of the poster

⇒ Required Ratio = 4 : 36

⇒ Required ratio in the simplest form = 1 : 9

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Which expression is equivalent to am ÷ an? am − n am + n am ⋅ n am ÷ n

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Which expression is equivalent to am ÷ an?

am − n
am + n
am ⋅ n
am ÷ n