[tex]Simplify: \frac{ {x}^{a + b} . {x}^{b + c} {x}^{c + a} }{ {x}^{a}. {x}^{b} . {x}^{c} } \\ [/tex]
Need help please.​

Answers

Answer 1

Step-by-step explanation:

[tex] \bf \underline{Solution-} \\ [/tex]

We have to simplify the given expression.

[tex] \rm = \dfrac{ {x}^{a + b} \cdot {x}^{b + c} \cdot {x}^{c + a} }{ {x}^{a} \cdot {x}^{b} \cdot {x}^{c} } [/tex]

We know that:

[tex] \rm \longmapsto {x}^{a} \times {x}^{b} = {x}^{a + b} [/tex]

[tex] \rm \longmapsto \dfrac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b} [/tex]

Therefore, we get:

[tex] \rm = \dfrac{ {x}^{(a + b) + (b + c) + (c + a)}}{ {x}^{a + b + c} } [/tex]

[tex] \rm = \dfrac{ {x}^{2(a + b+ c)}}{ {x}^{a + b + c} } [/tex]

[tex] \rm = {x}^{2(a + b+ c) - (a + b + c)}[/tex]

[tex] \rm = {x}^{a + b + c}[/tex]


Related Questions

Work out the size of angle x 126 degrees exterior and 43 degrees interior

Answers

Answer:

The answer is 83°

Step-by-step explanation:

by the sum of iner and outer angle=180°

180-126= 54°

x=180-43+54

x=180-97

x=83°

hope that helped.?<3

Employees hourly rate work is $2.90.each employee works for 8 hours a day. What would be the daily income of the employee

Answers

Answer:

$23.20

Step-by-step explanation:

1 hour of work = $2.90

8 x 2.90 = 23.20

8 hours of work will get an employee $23.20

If they worked 8 hours daily in a week:

7 x 23.20 = 162.40

Working 8 hours every day in a week will get them $162.4

Nathan usually drinks 33 ounces of water per day. He read that he should drink 63 ounces of water per day. If he starts drinking 63 ounces, what is the percent increase? Round to the nearest percent. what is the increase in percent(not over 100)

Answers

Answer:

I think it’s 90% if u round up it should be 91%

Step-by-step explanation:

If it’s wrong I’m REALLY sorry

Answer:

47.619047619047

Step-by-step explanation:

63-33= 30

[tex] \frac{30}{63} \times 100 = 47.619047619047[/tex]

you are welcome

13. Does are turned using a special tool called a/ an

I think it’s C. die stock

Brainliest for a correct answer!!!

Answers

Answer:

You have the correct answer selected, (C.) Die stock. I hope this helps you! Good luck! : )

10 greater than less than, or equal to 5? Explain ​

Answers

Answer:

greater than because 10 is further to the right on a numberline than 5

Step-by-step explanation:

broborborogjdgjdsfjshfha

Answers

Answer:

waja

Step-by-step explanation:

᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼

Answer:

Not answerable

Step-by-step explanation:

What is the question?

by what percentage did the high temperature increase from friday to saturday ? round ur answer

Answers

Answer:

Step-by-step explanation:

First, you must find the actual decrease in temperature.

Decrease = Yesterday's temperature - Today's temperature

Decrease = 80 - 75

Decrease = 5 degrees

Now, find the percentage decrease.

% Decrease = Actual decrease / Yesterday's temperature x 100

% Decrease = 5/80 x 100

% Decrease = 0.0625 x 100

% Decrease = 6.25 %

So, the percent decrease in high temperature from yesterday to today is 6.25%

Reasoning There were 43 students on the playground. Some more students joined them. Now there are 63 students on the playground. How many students joined? EnVision Lesson 3-5

Answers

Answer:

20

Step-by-step explanation:

63 - 43 = 20

Answer:

20 students

Step-by-step explanation:

because 43+s=63

63-43=20

s=20

so it have 20 students on the playground

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
(Please show your work)

Answers

Answer:

12

Step-by-step explanation:

Since this is a right angle triangle, and we have two lengths already found, we can use pythagoras to find x.

We know that

a²+b²=c²

Where a, and b are the smaller lengths (the adjacent and opposite), and C is always the longest one (the hypotenuse).

We want to find x, which in this case is c. So,

to solve for c, we get

c=[tex]\sqrt{a^2+b^2 }[/tex]

So, after plugging in the values, we get

[tex]c=\sqrt{10.6^2+6.1^2}[/tex]

[tex]c=12.23\\\\=12 (rounded)[/tex]

>> Answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

Step by step :

x² = (10,6)² + (6,1)²

x² = 112,36 + 37,21

x² = 149,57

x = 12,22mi

Hugo wants to make a sandwich using wrap or baguette cheese or turkey mayonnaise or ketchup , list all the possible types of sandwiches he Hugo could make

Answers

Answer:

What subject is this

Step-by-step explanation:

A bowling ball and a balloon might have the same _____ , but a different _____ .

Mass, volume
Weight, density
Volume, mass
Density, weight

Answers

Answer:

Volume, Mass

Step-by-step explanation:

Mass is how much stuff something is made of. Volume is how much space an object takes up. 1.

A rancher feeds one of her horses 6 scoops of corn each day during the winter. She feeds the horse half as much corn during the summer. How much corn does the rancher feed the horse each day in the summer?

Answers

Answer:

the answer is three

Step-by-step explanation:

because half of 6 is 3

rectangle QRST with vertices Q(-6,-1), R(-3,1), S(1,-5), and T(-2,-7)

Answers

Answer:

7 916 34902883837373u2728


Find the effective rate for a payday loan which charges $53.29 for a two week loan of $430.

Answers

Sorry for the wait.....

Hope this helps and Happy Halloween!!!!

The effective rate for a payday loan is 3.21%.

What is Interest rate?

The amount that the lender charges the borrower over and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money.

Given:

Amount Financial = 430

Financial Charge= 53.29

Term of loan= 14 days

So, the effective rate will be

= (53.29/430 ) x 365

= 45.2345

and, =45.2345/14

= 3.21

Hence, the effective rate is 3.21%.

Learn more about interest here:

https://brainly.com/question/13324776

#SPJ5

helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

a) $3.30/6kg = 0.55 dollars per kilogram

b) 448km/7h = 64 kiliometres per hour

For each unit rate, divide the units in where usually the biggest one is on top

Have a good one

please help MARKING BRAINLIST

Answers

Answer:

I don't know ask your parents

Step-by-step explanation:

I need help finding the x

Answers

Answer:

the answer is x=11......


I need help in Algebra

Answers

Answer:

choice 1

Step-by-step explanation:

plug the points into each answer choices (guess and check)


13. The length of a rectangle is 9 cm more than 2 times the width. If the perimeter of the rectangle is 60 cm,
what are its dimensions?
a. length = 7 cm; width = 23 cm
b. length = 5 cm; width = 16 cm
C. length = 23 cm; width = 7 cm
d. length = 23 cm; width = 16cm

Answers

Answer:

C. length = 23 cm; width = 7 cm

Step-by-step explanation:

Let the width is x, then the length is:

l = 2x + 9

Perimeter is:

P = 2(l + w)60 = 2(x + 2x + 9)30 = 3x + 93x = 21x = 7

Dimensions are:

Width = 7 cm, length = 2*7 + 9 = 23 cm

Correct choice is C

5. An oven is set for 425° F. A pizza is baked
in the oven, then the oven is turned off.
Graph time on the x-axis and the oven
temperature on the y-axis.

Answers

Answer:

ANSWER IS ON MY HEAD

Step-by-step explanation:

THINKING ABOUT IT

What are the coefficients in the equation?
- 2x + 4 = 15x

Answers

Answer:

Exact for is : 4/17

decimal for is : 0.23529411...

Step-by-step explanation:

Coefficients are the values that go in front of variables (they are multiplied by them). In this equation, -2 and 15 are coefficients.

Question 1 of 5 Use properties to evaluate (-15: 7), . O A. 5 2 5 O B. - O c. الا لا 2 OD. الا) SUBMIT

Answers

Answer:

Step-by-step explanation:

pues supongo que tuviste que traducirlo y no te sirvio de nada la respuesta pero no se nada B 5-8 esa creo yo la verdad

You have 112 feet of fencing to enclose a rectangular region. What is the maximum area?

Answers

The maximum area is 784.

Ordered pairs are ordered as (x,y) What is the constant of proportionality
for the ordered pair (-2,18)?

Answers

i dont k n o w w w

s o r r y

it takes two people to make two bikes in 2 hours how many people does it take to make 12 bikes in 6 hours​

Answers

Answer:

Step-by-step explanation:

2 people make 2 bikes in 2 hours so  2 people can make 1 bike in 1 hour

So in 6 hours,  2 people can make 6 bikes.

So to make 12 bikes we need  2*2 = 4 people.

At 1 p.m., there were 257 visitors in the museum.

Answers

Use function notation to represent this statement:

At 1 p.m., there were 257 visitors in the museum.

Answer:  V(4)=257

Explanation: It says that the Museum opens at 9 so it would be 4 hours. And the 257 is the number of visitors at that time.

The chart shows the nutritional facts for a nutrition bar.

Nutritional Facts
Nutrition Bar
1 bar
Calories
182.7
Fat
5.8 g
Carbohydrates
23.57 g
Sodium
289.75 mg

Which is the best explanation of how to find the carbohydrates in 16.4 nutrition bars?

Answers

Answer:

ITS A (i took the unit test)

Step-by-step explanation:

Which expression is equivalent to -p+2 -2p+ 8?

Answers

Answer:

- 3p + 10

Step-by-step explanation:

- p + 2 - 2p + 8 ← collect like terms

= (- p - 2p) + (2 + 8)

= - 3p + 10

Answer for points ig I’ll thank it

Answers

Answer:

thanks

Step-by-step explanation:

Answer:

Thank you (:                                                                  

How do I do 7<1+x in linear equations

Answers

Answer:

7<1+x

1+x>7

x>7-1

x>6

Step-by-step explanation:

hope this helps a little

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