Simplify

[tex] {3}^{7y} \times {81}^{8y} \times {3}^{9} \div {27}^{9y} [/tex]

Answers

Answer 1

Answer

[tex]3^{7y} * 81^{8y} * 3^9 * 27^{-9y} = 3^{7y} * (3^4)^{8y} * 3^9 *(3^3)^{-9y}[/tex]          

                                [tex]=3^{7y} * (3)^{32y} * 3^9 *(3)^{-27y}\\\\=3^{7y +32y +9 -27y}\\\\=3^{12y+9}[/tex]

Tip :    

[tex]\frac{1}{27^{9y}} = 27^{-9y} = (3^3)^{-9y} = 3^{-27y}[/tex]                          

Answer 2

Answer:

[tex]3^{12y+9}[/tex]

Step-by-step explanation:

→ Convert all integers to base 3

[tex]3^{7y} *3^{4*8y}*3^{9} /3^{3*9y}[/tex]

→ Simplify

[tex]3^{7y}*3^{32y} *3^{9} /3^{27y}[/tex]

→ Collect all the like terms

[tex]3^{12y+9}[/tex]


Related Questions

Find the measure of

Answers

Answer:

v=y=28°,w=x=152°( both are vertically opposite angles)

A package if sugar cubes has a length of 7 cm a height 3 cm and a with of 12 cm what is the volume of the pagage

Answers

Answer:

252 cm^3

Step-by-step explanation:

The volume of a rectangular prism is denoted by the formula:

V = lwh

We can substitute in the values to get:

V = 7 x 12 x 3

V = 252 cm^3

D o I p l a y M i n e c r a f t o r, F o r t n i t e?

Answers

Answer:

mine craft

Step-by-step explanation:

A snack food company is increasing it's product size by 20%. If the original container held 10 ounces of product, how many ounces will the new container hold?

PLEASE EXPLAIN HOW TO DO IT

Answers

Answer:

12 (step by step is below)

Step-by-step explanation:

20% can be rerwitten as 1/5 or .20

since yous container holds 10 ounces you multiply by 1.20 (1 + amount of change) 10 x 1.2 = 12

- Gage Millar, Algebra 2 Tutor

Please help!!!!!!!!!!ASAP!!!

In triangle abc ma=70 and mb=35, Select the triangle that is similar to triangle ABC

Answers

Answer:

Its D!

Step-by-step explanation:

all you have to do for the triangles  to  be simialr is  they have to add up to the same  number.

In triangle abc ma=70  and mb=35  add those  gives you 105

and  in  triangle mnp and M<N =70   which  also gives you 105

since u get the same answer    their similar!

Hope this helps!

PT= 4x+6 and TQ=9x-9 find the values of x and PT . Please help me I’m stuck

Answers

X=3
PT=18

Steps:
4x+6=9x-9
Add 9 to 6 and subtract 4x from 9x
15=5x
3=x
Plug 3 into equation
12+6=18

What is the quotient of 1.44 x 10°8and 6.0 x 105 expressed in scientific notation?

Delta math​

Answers

Answer:

2.4 x 10²

Step-by-step explanation:

1.44/6 x 10^8-5 = .24 x 10³ which is 240

9:14=a:7
Find a pls help me

Answers

9:14 is equivalent to 9/23.

We can set up the following proportion:

9/23=a/7.

Now, we just solve for a by the Cross Product Property.

9(7)=23(a)

Now, just divide by 23 on both sides to isolate “a.”

63/23=23a/23

After simplifying, a=2.739.

Therefore, 9/23=2.739/7

When reduced into decimal form, .391=.391, so we know the proportion is indeed correct.

PLEASE HELP ME, IM TIMED, ILL GIVE BRAINLIEST AND 50 POINTS

Answers

i can't see the 4th option but from what i can see, i'd say 20 (b).

i didn't do math for this, i just used context clues.

the hypotenuse is always longer than either of the sides, so if the hypotenuse is 29, then the only logical solution is 20 feet. every other option is >29.

Answer:

Hello! answer: 20 feet

Step-by-step explanation:

29 × 29 = 841 21 × 21 = 441 841 - 441 = 400 √400 = 20 20 × 20 = 400 therefore 20 is the answer Hope that helps!

please I NEED HELP thank u, if u want to spam my answer then I will report u thank u.

Answers

a- 354.3
b- 1350
c- 553

Select the correct answer.

What is the measure of the indicated central angle ?



A.
40°
B.
80°
C.
60°
D.
20°
E.
None of the above

Answers

Answer:

the answer is E. none of the above

please answer to the best of your ability

Answers

Answer:

C:reflection accross the x axis

Step-by-step explanation:

What is the solution to 2 x minus 8 less-than 12?

Answers

Answer:

X less than 10

Step-by-step explanation:

The problem is set up 2x - 8 < 12

So add 8 to both sides to get 2x <20, and then divide by 2 to get x < 10

Answer:

x< or = 9

Step-by-step explanation:

if you try to fill in the equation, the highest you can go without equaling or surpassing 12 would be 9.

2(10)-8=12 but

2(9)-8=10

I really hope this helps, i am sorry if i misunderstood the question....

The mean age of 6 women in an office is 24 years old.
The mean age of 9 men in an office is 27 years old.
What is the mean age (nearest year) of all the people in the office?

Answers

The mean age of everyone in the office rounded to the nearest year is 26.

Answer:

26

Step-by-step explanation:

Nina purchased 4 pounds of strawberries for a total of $6.40.How much did she pay for one pound of strawberries?

Answers

Answer:

1.6$

Step-by-step explanation:

6.4/4=1.6

Special right triangles

Answers

Answer:

6sqrt(3)

Step-by-step explanation:

Using pythagoras theorem

Emily is solving the following System of equations using Substitution:

y=3x-4

y=2x+1

Her steps are shown below.

Part A

Click on the first step in which Emily made an error.​

3x-4=2x+1

5x-4=1

5x=5

x=1

y=3(1)-4=3-4=-1

(1,-1)


Part B

Explain what Emily did wrong and then what she should have done to make sure it was the correct answer.

Answers

Answer:

Emily is solving the following system of equations using substitution:

y = 3x - 4

y = 2x + 1

Part A:

After substituting y's values:

3x - 4 = 2x + 1

What she did:

3x - 4 = 2x + 1

3x + 2x - 4 = 1

5x - 4 = 1

What she should have done:

3x - 4 = 2x + 1

3x - 2x - 4 = 1

x - 4 = 1

Part B:

This rule has not been followed: Sign changes when numbers shift from left to right of ' = 'sign.

Emily did not changed the sign of the number, 2x from + 2x to - 2x when it was moved from the right side to the left.

[tex][/tex]

The length of a rectangular map is 37,5 cm and the perimeter is 125 cm. Find the width​

Answers

Let the length of the map be L Cm.

Hence, L = 37.5 Cm

Now, Let the width of the map be B.( Breadth )

Now, we know that perimeter of a rectangle

= 2 ( L + B )

According to the question–

125 = 2 ( L + B )

{ Putting the value of L we get }

Or, 125 = 2 ( 37.5 + B )

Or, 125/2 = 37.5 + B

Or, 62.5 = 37.5 + B

Or, 37.5 + B = 62.5

Or, B = 62.5 – 37.5

Or, B = 25 Cm

Therefore, the Width of the rectangle is 25 Cm.

PLEASE HELP ASAP NO TROLLING PLEASE. HELP FIND MISSING TERM

Answers

Answer:

-3x is the answer

Step-by-step explanation:

Answer:

-3x

Hopefully this helps lol

On Saturday, a gymnast walked a distance of x miles. On Sunday, the gymnast walked half the distance that he walked on Saturday. ​Which expression represents the total number of miles the gymnast walked on Saturday and Sunday?

Answers

Answer: See explanation

Step-by-step explanation:

From the information given, we are told that on Saturday, the gymnast walked a distance of x miles while on Sunday, the gymnast walked half the distance that he walked on Saturday. ​

Therefore, the expression that represents the total number of miles the gymnast walked on Saturday and Sunday will be:

= x + (½ × x)

= x + ½x

= 1½x or 1.5x

please help! picture attached

Answers

Answer:

you on iready?

Step-by-step explanation:

Answer:

Can you reattac the picture because I can’t see it then I will be able to help u

Step-by-step explanation:

1. Find 2 arithmetic means between 12 and 21.​

Answers

I believe it would be 16.5, since you add 12+21=33 then divide it by however many numbers you have (this case it’s 2) and divide it by 2, which equals 16.5

What is the total surface area of the pyramid?

Answers

Answer:

16.64911

Step-by-step explanation:

Answer:

area of the regular pyramid is =T.S.A=12pl+B is the formula for this question

PLEASE HELO PRE CALC PEOPLE
Use these parametric equations to answer the question below.

x=t-2
y=t^2

The order pair associated with t-value of -1 is?

Answers

Answer:

The ordered pair associated with a t-value of -1 is (-3, 1).

Step-by-step explanation:

Substitute the t-value, or -1, into both of the equations to find the pairs.

x = t - 2

x = (-1) - 2

x = -3

y = t^2

y = (-1)^2

y = 1

The ordered pair associated with a t-value of -1 is (-3, 1).

Which shows the use of a credit card
A. Ryan entered his PIN to complete a transaction.
B. Ryan overdrew his checking account.
C. Ryan bought groceries and paid for them at the end of the month.
D. After making a purchase, Ryan recorded the information in his check register.

Answers

C is what you do when credit cards are involved.

I will mark you brainlist!

Answers

We know that we have 3 even numbers out of 8 numbers, and we know that we spin it 48 times. So a reasonable prediction of getting a even number is 3/8 x 48= 18 times.

It will land on an even number 18 times.

What Percent Of the Whole is shaded?

Answers

Answer:

70%

Step-by-step explanation:

there is 10 and 7 of them are filled which is 7/10 since we are dealing with percentages we need the bottom to be 100 so 70/100 or 70%

- Gage Millar, Algebra 2 tutor

Answer:

Below

Step-by-step explanation:

I would say 70%

It is split up into 10 parts, 7 are shaded,

7 to 10 would be as 70% is to 100%

Josie is creating 5 music playlists for her dance classes. She will use a total of 60 songs. Each playlist will have 7 older songs and the same number of newer songs.

Part A

Create an equation that can be used to determine the number of newer songs, n, Josie will have on each playlist.

Enter your equation in the box.

Answers

Answer: 60=5(7+x)

X= 5

Step-by-step explanation:

60 is the total amount of songs so it’s going to be divided into 5 different playlists. And those playlists are going to have 7 older songs plus the amount of new songs.

Which summation formula represents the series below?
13 + 9 + 5 + 1

Answers

The answer is 28 ......



Zzzzz

∑(17-4n) is the summation formula represents the series 13 + 9 + 5 + 1.

What is Series?

A series is the cumulative sum of a given sequence of terms.

The given expression is 13 + 9 + 5 + 1

The terms of this series are 13,9,5,1

It is an AP. Here, first term is 13 and common ratio is -4.

The nth term of an AP is

aₙ=a+(n-1)d

=13+(n-1)(-4)

=13-4n+4

=17-4n

The summation formula of an Arithmetic progression is

∑aₙ

The value of n is 4 because the number of term is 4. So, the summation formula is

∑(17-4n)

Hence ∑(17-4n) is the summation formula represents the series

13 + 9 + 5 + 1.

To learn more on series click:

https://brainly.com/question/15415793

#SPJ2

y= 4x + 2
y= 4x + 6
How many solutions

Answers

0 solutions.

4x+2 is not = 4x+6

Therefore there will be Jo solutions

Answer:

no solutions

Step-by-step explanation:

Given the 2 equations

y = 4x + 2 → (1)

y = 4x + 6 → (2)

Substitute y = 4x + 2 into (2)

4x + 2 = 4x + 6 ( subtract 2 from both sides )

4x = 4x + 4 ( subtract 4x from both sides )

0 = 4 ← not possible

This indicates the system has no solution

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