Mathematics High School


[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

Divide Rs 2500 in the proportion of 1:2:3:4 in four parts.
​

Answers

Answer:

250 : 500 : 750 : 1000

Step-by-step explanation:

2500 ÷ 1+2+3+4

2500 ÷ 10

250

Therefore the answer is,

1 : 2 : 3 : 4

250 : 500 : 750 : 1000

simplify the problem 4 . 3 + 1 . 6 + 8 . 4 − 0 . 9

Answers

Answer:

13.4

Step-by-step explanation:

4.3+1.6=5.9

5.9+8.4=14.3

14.3-0.9=13.4

hhhhhhhhhhheeeeeeeeeeeelllllllllllllpppppppppp

Answers

Answer:

angle 4 is the alternate angle

Answer: (A) angle 1

Step-by-step explanation:

Can someone help me please

Answers

Step-by-step explanation:

5⁴×5² = 5⁶

10⁶/10³ = 10³

so, we have 5⁶/10³ = 15.625

and in scientific notation we have to write the first digit (which is not 0) in front of the decimal point, and the following digits of the number as pairings after the decimal point, and then indicate a multiplication with a power of 10 to tell us the right position of the decimal point in the plain number.

so, 15.625 as plain number is

1.5625 × 10¹ in scientific notation.

therefore option 1 is correct.

let x=-(2/5 ) and y= -(1/10)Which expression has a negetive value?A. x+y B. x-y

Answers

Answer: Terminology for signs. When 0 is said to be neither positive nor negative, the following phrases may be used to refer to the sign of a number: A number is positive if it is greater than zero. A number is negative if it is less than zero.

Step-by-step explanation:

Hope this helps!

Solve 2x^2-3x-5=0 with the quadratic formula please and have a bless day

Answers

Answer:

( 2x^62- 3x) - 5 = 0

2x^62 - 3x - 5 = 0

X = - 1

- 5/2

The it is my dear friend

2. The price of a gallon of gas was $2.95 on Monday. On Wednesday, the price of a gallon of gas rose to $3.15. How much did the price rise?

The amount of $ by which the price increased

Help ​

Answers

Answer:

0.2

Step-by-step explanation:

2.95-3.15

The successor of -18

Answers

Answer:

-17

Step-by-step explanation:

−18 + 1 = −17

Please help ! Geometry

Answers

The measurement of angle b is 128°

explain and show how please ! and give answer someone pls answer asap !

Answers

Answer:

Both angels are 70 and both added are 140.

Step-by-step explanation:

Because of the rules, that's names i never remember angle 1 and angle 2 are both 70° and obiously they equal 140.

A reason improper use of netiquette can be risky is that users can

O become vulnerable to online harassment.
O access inappropriate websites.
O have their private information stolen.
O receive unwanted spam.

Answers

The answer is A, Sorry I am late but for the future people i hope this helps them :))

- Have a nice day.

The improper use of netiquette can be risky as the user can become vulnerable to online harassment.

What is cybersecurity?

Protecting the online data from the digital attacks initiated by a hacker is called cybersecurity. Cybersecurity is necessary to protect the various systems, networks and programs that may contain some confidential information about any person.

Given is to identify the reason why the improper use of netiquette can be risky.

The improper use of netiquette can be risky as the user can become vulnerable to online harassment.

Therefore, the improper use of netiquette can be risky as the user can become vulnerable to online harassment.

To solve more questions on cybersecurity, visit the link-

https://brainly.com/question/27560386

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if f(x) = 3x+2 then what is f(2)+1

Answers

Answer: 9

Solving Steps:
f(x) = 3x + 2
f(2) = 3*2 + 2
f(2) = 6 + 2
f(2) = 8
f(2) + 1
8 + 1 = 9

When Grace left Vermont to visit her grandfather in Florida,
the temperature in Vermont was -7°F. When she arrived,
the temperature in Florida was 65°F. What was the
difference between the two temperatures?
A
71°F
B
72°F
C
74°F
D
58°F

Answers

Answer:

D.

Step-by-step explanation:

It is simple. Subtract 7* from 65* to get you 58* F.

a room has a rectangular floor that measures 28 feet by 14 feet and a flat 9-foot ceiling. what is the area of the floor and how much air does the room hold?

Answers

Answer:

Step-by-step explanation:

Thirty-seven is twice a number increased by five.

Answers


37 = 2(n+5)

A number n is increased by 5 is (n+5). And 37 is twice of that so 2(n+5) is 37.

Plz answer this question​

Answers

I believe the answer is B 3/4

THIS IS NOT A SCAM LINK ITS REAL

https://brainly.in/question/27761729

What is the possible range of y-values that, along with x=7 form a solution to the following inequality?
4x –11y < -5

Answers

Answer:

4x –11y < -5, x=7

Step-by-step explanation:

[tex]\huge\mathtt\colorbox{white}{See attachment pl}[/tex]

...NO LINKS IF YOU HAVE LINK DO NOT ANSWER PLEASE ANSWER NO LINKS Please no links will mark brainiest for complete and correct answer.
PLEASE SHOW ALL OF YOUR WORK
Solve for p
3(2p−1)−2(3p+4)=11p

Answers

Answer:

P = -1

Step-by-step explanation:

3(2p-1)-2(3p+4)=11p

Distribute:

6p-3-6p-8=11p

Combine like terms:

-11 = 11p

Solve for p by dividing by 11:

-11/11 = 11p/11

Simplify:

-1 = p

Step-by-step explanation:

6p - 3 - 6p - 8 = 11p

-11 = 11p

p = -1

Giving me brainiest will be appreciated

i literally dont get it

Answers

Answer:

cow is 65bpm

horse is 38bpm

Step-by-step explanation:

cow is given

horse divide total beats by total min

[tex]\sf -4(9x+9)[/tex]

Answers

Answer:

-36x-36x

Step by step explanation:

4(9x+9)

-36x -36x

Answer:

[tex]-36x-36[/tex]

Step-by-step explanation:

[tex]-4\left(9x+9\right)[/tex]

Apply distributive law:

[tex]-4\times \:9x-4\times \:9[/tex]

[tex]-36x-36[/tex]

can someone do this? <3

Answers

here!

and here’s a link if you want to understand how to do it!

https://www.khanacademy.org/math/algebra-home/alg-intro-to-algebra/alg-manipulating-expressions/a/combining-like-terms-reminder

Answer:

[tex]-4b^3 - 4a^3 + 5a^3 b^2[/tex]

Step-by-step explanation:

Hope it helps!!

The measure of an angle is 15.8°. What is the measure of its complementary angle?

Answers

Answer:

x = 74.2°

Step-by-step explanation:

Complementary angles are two angles whose sum is 90°.

Let x = the second angle

15.8° + x  = 90°

      x = 90 - 15.8°

     x = 74.2°

Find the inverse of each of the given funcions
fo) = 4x-12
51x)=
DONE
o

Answers

Let y be f(x)

[tex]\\ \sf\longmapsto y=4x-12[/tex]

Swipe the values

[tex]\\ \sf\longmapsto x=4y-12[/tex]

Isolate y

[tex]\\ \sf\longmapsto 4y=x+12[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{x+12}{4}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{1}{4}x+3[/tex]

Hence.

[tex]\\ \sf\longmapsto f^{-1}(x)=\dfrac{1}{4}x+3[/tex]

Let y=f(x)

y=4x-12

Now interchange the variables

x=4y-12

The y we need now

x+12=4y

Divide both sides by 4

y=(x+12)/4

This is the inverse

If there are 5 females in a classroom, and 4 males, but 4 of the females are students, whos the other female? please only answer if you know ive been stuck on this for hours

Answers

Answer:

1 teacher female

Step-by-step explanation:

Answer:

Teacher?

Step-by-step explanation:

Well if the other female isn't a student then it must be the teacher.

please help and with an explanation if you can !! I’m not good at math bro I’ll give you brainliest

Answers

Hi,

Here’s the answers for you.

ΔABC is similar to ΔDEF. The length of segment AC is 12 cm. The length of segment BC is 18 cm. The length of segment DF is 10 cm.

What is the length of segment EF?
Question 1 options:

15


14


10


9

Answers

Answer:

It's 15

i took the test

Step-by-step explanation:

Please helppppp please
​

Answers

Answer:

its B

Step-by-step explanation:

I did this in class

The answer is going to be : b

Solve 5x + 2 = 22
Solve 2x-5=7
Solve 2x+5=12

Answers

Answer:

x = 4

x = 6

x = 7/2

Step-by-step explanation:

Solve 5x + 2 = 22:

5x+2-2=22-2 (subtract 2 from both sides)

5x=20

x=4

Solve 2x-5=7

2x-5+5=7+5 (add 5 to both sides)

2x=12

x=6

Solve 2x+5=12

2x+5-5=12-5 (subtract 5 from both sides)

2x=7

x= 7/2

Solve 5x + 2 = 22

=> 5x + 2 = 22

=> 5x = 22 – 2

=> 5x = 20

=> x = 20/5

=> x = 4

Solve 2x-5=7

=> 2x - 5 = 7

=> 2x = 7+5

=> 2x = 12

=> x = 12/2

=> x = 6

Solve 2x+5=12

=> 2x + 5 = 12

=> 2x = 12-5

=> 2x = 7

=> x = 7/2

Relationship B has a greater rate than Relationship A. This graph represents Relationship A.Which equations could represent Relationship B?Select each correct answer.y = 2.2xy = 3xy = 1.4xy=12x

Answers

Answer:  

y = 3x

y = 2.2x

y=1/2x

Step-by-step explanation:

i did the test thank me later

A pet store has 15 birds and 75 fish.
In simplest form, what is the ratio of birds to fish in the pet store?
O1/6
O1/5
O5/1
I don't know

Answers

Answer:

1/5

Step-by-step explanation:

For every bird in the store there will be 5 fish.

Because there is 5 times more fish then birds.

Using the ratio concept, the number of birds to fish expressed as a ratio is 1/5

Given the Parameters :

Number of birds = 15 Number of fishes = 75

Ratio of the number of birds to fish can be expressed thus :

Number of birds : Number of fishes

15 : 75

Divide both sides by 15

1 : 5

Hence, the ratio of birds to fish is 1/5

Learn more : https://brainly.com/question/18796573

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