simplify (y + 1)^5y + 1)^3​

Answers

Answer 1

Note: Your expression sounds a little unclear, so I am assuming your expression is

[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3[/tex]

But, the procedure to solve the expressions involving exponents remains the same, so whatever the expression is, you may be able to get your concept clear.

In the end, I will solve both expressions.

Answer:

Please check the explanation

Step-by-step explanation:

Given the expression

[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3[/tex]

solving the expression

[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times \:a^c=a^{b+c}[/tex]

[tex]\left(y+1\right)^5\left(y+1\right)^3=\left(y+1\right)^{5+3}[/tex]

                          [tex]=\left(y+1\right)^8[/tex]

Therefore, we conclude that:

[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3=\left(y+1\right)^8[/tex]

IF YOUR EXPRESSION IS THIS

                       ↓

[tex]\left(y\:+\:1\right)^{\left(5y+1\right)^3}[/tex]

solving the expression

as

[tex]\left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3[/tex]

so

[tex]\left(5y+1\right)^3=125y^3+75y^2+15y+1[/tex]

               [tex]=125y^3+75y^2+15y+1[/tex]

Thus, the expression becomes

[tex]\left(y+1\right)^{\left(5y+1\right)^3}=\left(y+1\right)^{125y^3+75y^2+15y+1}[/tex]


Related Questions

i need help on my math how

Answers

Answer:

OK!!!!!!!!!!!!!!!1

Step-by-step explanation:

Answer: What do you need help with? I think if you put out you will try and help.

what is 2x4(6.5x9.5) power of 12 show your work

Answers

Answer:

24.584...

Step-by-step explanation:

2x4(6.5x9.5) power of 12

2x4 x 61.75 power of 12

2x4 x 3.073...

8 x 3.073...

24.584...

Xander is planning on building a house. The blueprints show a house that is 3 inches wide and 2 inches tall. The blueprints use a scale in which 14 inch represents 2 feet.

How wide and tall will the actual house be?

Drag and drop the height and width of the actual house into the boxes.

Answers

Answer:

16ft tall and 24ft wide

Step-by-step explanation:

Answer:

16ft 24ft

Step-by-step explanation:

i got the same qestion and its correct.

What is the unit rate depicted in the graph?

On a coordinate plane, a graph titled Lap Times has minutes on the x-axis and Laps on the y-axis. A line goes through points (4, 3) and (8, 6).
0.75 laps in one minute
1.25 laps in one minute
3 laps in 4 minutes
4 laps in 3 minutes

Answers

Answer:might be wrong but the answer is C

Step-by-step explanation:

The Unit Rate depicted in the graph will be 0.75 laps in one minute, i.e. Option A.

What is Unit Rate?

The Unit Rate is defined as means a rate for one of something, i.e. ratios of two quantities.

We have,

Minutes on the x-axis,

And,

Laps on the y-axis.

And,

A line goes through points (4, 3) and (8, 6),

x₁ = 4, x₂ = 8, y₁ = 3, y₂ = 6

Now,

So,

Unit rate for x₁ and  y₁,

i.e.

[tex]\frac{y_1}{x_1} =\frac{3}{4}=0.75[/tex]

Now,

Unit rate for x₂ and  y₂,

i.e.

[tex]\frac{y_2}{x_2} =\frac{6}{8}=0.75[/tex]

So,

The unit rate is 0.75 laps in one minute.

Hence, we can say that the Unit Rate depicted in the graph will be 0.75 laps in one minute, i.e. Option A.

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Find the value of x. Round your answer to the nearest tenth.

Answers

Answer:

x=5.7

Step-by-step explanation:

sin(35=x/10

Is this graph a function? why or why not.

Answers

Answer:

The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

find the slope of the line through each pair of points. (9, 16) , (14, -12)

Answers

Answer:

slope = - [tex]\frac{28}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 16) and (x₂, y₂ ) = (14, - 12)

m = [tex]\frac{-12-16}{14-9}[/tex] = [tex]\frac{-28}{5}[/tex] = - [tex]\frac{28}{5}[/tex]

URGENT!!!!!!!!!! PLEASE HELP!!!

Answers

Answer:

F' would be (5,2)

G' would be (0,2)

H' would be (0,6)

hope this helps!

Simplify the expression below using laws of exponents.

Answers

Answer:   36/[tex]K^{2}[/tex]

Step-by-step explanation:

The k on top will cancel the k to the second power.

So the only number in the numerator is 1.

Then the 1 qill go away because you cant divide anything by 1.

The expoenet -2 that was at the top near K will become positive.

Then distribute

Question Three
What is the value of in the figure?
61
4 Ft
(5x)
(10x - 10)
6 ft
A
2
B
6.4
С
8
D 9.5

Answers

I believe the answer is A

In the following table, y is a function of x. True or false: The table below represents a function.

Answers

False
Bc when you divide y/x it equal different unit rates

start fraction 5.2 over 3.5 end fraction equals start fraction y over 7.5 end fraction
A. 7.25
B. 11.14
C. 5.05
D. 2.43

Answers

Answer:

A

jk its D hope this helps

21/35 as a decimal rounded to the nearest tenth

Answers

21/35= 0.6 you use simple math

Which spacecraft tested the soil of Mars for signs of life?

Answers

Answer:

Viking landers

To date, the Viking landers (1976) were the only spacecraft to conduct experiments looking for life in the Martian soil.

Step-by-step explanation:

brainly?


Which of the following would earn the same amount of interest as a $600 principal with 2.5%
interest for 6 years?

Answers

Answer:$225 at 10% for 4 years and $80 at 75% for 18 months

Step-by-step explanation:

The required interest earned is given as $90, as of the given condition.

Given that,
Principal = $600
Rate = 2.5% and time = 6 years

What is simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

Here,
Simple interest = principal × rate × time /100
Simple interest = 600× 2.5× 6 /100
Simple interest = 90

Thus, the required interest earned is given as $90, as of the given condition.

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Mrs Jonas has 35 students in her math class. If her class increases to 42 students next year what will be the percent of change?

A) 335

B) 93%

C) 75%

D) 20%

Answers

Answer:

D. because I did it

Step-by-step explanation:

got it right.

Answer:

20%

Step-by-step explanation:

well if the class would increase 35+35 it would be 50 % so its supposed to be a smaller percentage

An item cost 460 before tax and the sales tax is 32.20 find the sales tax rate write your answer as a percentage

Answers

Answer:

7%

Step-by-step explanation:

A complex number has a real part 4 and an imaginary part coefficient of -3. Which binomial is equivalent to this complex number?

Answers

Answer:

4-3i

Step-by-step explanation:

Here, we want to select the option that best correlate

The real and the complex part can be represented as;

a + bi

In this case, a is the real, b is the complex

So we have that;

Real part 4 and imaginary coefficient of 3

That will be

4 -3i

Answer:b

Step-by-step explanation:

Write a fraction equal to 1 with a numerator of 18

Answers

Answer:

18/18

Step-by-step explanation:

18 divided by 18 is one

Greg invested $11,000 in two accounts.
• The first account pays 5% interest per year.
• The second account pays 8% interest per year.
Greg earned a total of $752.50 in interest at the end of the first year.
How much did Greg invest in the 5% account?

A) 6750
B) 3415
C) 5500
D) $4250

Answers

Answer:

D; $4,250

Step-by-step explanation:

Here, we want to know the amount that was invested in the 5% account

We proceed as follows;

Let the amount invested in the 5% interest account be $a and the amount invested in the 8% interest account be $b

We have it that the total investment amount is $11,000

Mathematically, since total is 11,000; we can add a and b to give this

a + b = 11,000 •••••••••(i)

Now, let us work with the interests

Interest earned will be;

Percentage of interest * Amount invested

For the 5% interest account, the interest earned will be;

5/100 * a = 5a/100 = 0.05a

For the 8% interest account , the interest earned will be;

8/100 * b = 0.08b

By adding the interests on both account, we can get the total amount of interest earned

We can have this as;

0.05a + 0.08b = 752.50 •••••(ii)

From equation i above;

b = 11,000 - a

Substitute this into ii

0.05a + 0.08(11,000-a) = 752.5

0.05a+ 880 - 0.08a = 752.5

0.08a-0.05a = 880-752.5

0.03a = 127.5

a = 127.5/0.03

a = $4,250

Graph the funtion f(x) = [tex]\sqrt[3]{x - 2}[/tex].

(I added a picture just in case you can't read the equation)

Struggling a lot could use a friend right about now thank you

Answers

This process is very simple. All you are doing is creating a table of values somewhere to help you graph this function. As you can see, the coordinates of [tex]\displaystyle [-6, -2], [1, -1], [2, 0], [3, 1],[/tex] and [tex][10, 2][/tex] are all touched on this graph, letting you know that this information is accurate.

I am joyous to assist you at any time. ☺️

What is the value of f(-1)?
O f(-1) = -3
Of(-1) = -1
O f(- 1) = 0
Of(-1) = 6

Answers

Answer: C: f(-1)=0

Step-by-step explanation:

To find f(-1), we look for the value under f(x) that corresponds to x=-1. This value is 0.

What value of x makes this equation true? 12x - 15 = 6 - 3x

Answers

Answer:

12x - 15 = 6 -3x (add 3x to both sides)

15x - 15 =6 (add 15 to both sides)

15x= 21 (divide both sides by 15 to get x alone)

x= 1.4  (the answer)

Answer:

1.4

Step-by-step explanation:

What is the measure of the missing side?

Answers

The explanation is in the photo. Have a look

Erica can paint her room 5 hours .If she had her friend Rachel help her , they can paint the room together in 3 hours .How long would it take for Rachel to paint the room alone , if Erica wanted to go play tennis for the afternoon ?

Answers

Answer:

7 hours 30min

Step-by-step explanation:

Step one :

Given data

We are told that Erica can paint 1 room in 5hours

Her work rate is 1/5 room per hour

And also with the assistance of her friend they can paint 1 room in 3 hours

Hence their combined work rate is 1/3 room per hour

Step two

The combined work expression is

1/A+1/B=1/T

Where A=Erica's work rate

B=Rachael's work rate

T=combined work

1/5+1/B=1/3

1/B=1/3-1/5

1/B=5-3/15

1/B=2/15

B=15/2

B=7.5 hours

It will take Rachel 7 hours 30min to paint the room

The total surface area of a cone whose radius is 2 r and slant height 2l is

(A) 2πr (l + r)
(B) πr (l + 4 r )
(C) πr (l + r)
(D) 2πrl​
please answer urgent

Answers

Answer:

[tex]A=4\pi r(l+r)[/tex]

Step-by-step explanation:

The total surface area of a cone is given by :

[tex]A=\pi rl+\pi r^2\\\\=\pi r(l+r)[/tex]

Put r = 2r and l = 2l in the above formula

[tex]A=\pi \times 2r(2l+2r)\\\\A=2\pi r(2l+2r)\\\\=2\pi r \times 2(l+r)\\\\=4\pi r(l+r)[/tex]

Hence, the total surface area of the cone is [tex]4\pi r(l+r)[/tex].

The diagram below represents the shape of the floor of a hotel lobby. The hotel plans on replacing the carpet in the lobby
12
1
1 14 11

1
1
1121
13 ft
! 11 ft
31 tt
Part A: What is the total area of the hotel lobby floor?
ft?
Part B: If the new carpet costs $1.75 per square foot, how much with the hotel spend on new carpet?

Answers

Answer:.

Step-by-step explanation:

A rectangle has an area of 135 ft 2 . What is the length, if the width is 9 ft?

Answers

Answer:

15 ft

Step-by-step explanation:

A=LxW

135 ft2 =m X 9ft

Divide 135 by 9

& that equals 15ft.

To check your answer, you multiply 15X9 and that equals 135. So the length of the rectangle is 15ft.

Can you tell me the statements that are true?

Answers

Answer:

1=true

2=false

3=false

4=true

5=true

6=false

Step-by-step explanation:

hope this helps!:)

Find the missing quantity in the double number line.

Answers

This might help u
Gl

The missing quantity is 100 books in the double number line.

What is the proportion?

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other. Proportions are represented by the symbols "::" or "=".

Let the missing quantity be x in the double number line.

According to the given condition, we can write the proportion would be as:

40 books : 2 boxes = x books : 5 boxes

⇒ 40 / 2 = x / 5

Apply the cross-multiplication operation,

⇒ 40 × 5 = 2x

⇒ 2x = 200

⇒ x = 200/2

⇒ x = 100

Therefore, the missing quantity is 100 books in the double number line.

Learn more about the proportion here:

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