Simplify the expression. Write your answer using only positive exponents. Evaluate any numerical powers.


3^4⋅x⋅(3/x^2)^−2

show your work

Answers

Answer 1

Answer:

9x⁵

Step-by-step explanation:

Use properties of exponents:

[tex]a^{b} a^{c} = a^{b+c}[/tex], [tex](a^{b} ^)^{c} = a^{bc}[/tex], [tex]1/a^{-b} = a^{b}[/tex]

Simplify the given expression:

3⁴⋅x⋅(3/x²)⁻² = 3⁴·x·(3x⁻²)⁻² = 3⁴·x·(3⁻²)(x⁻²ˣ⁻²) =3⁴⁻²·x¹⁺4 =3²·x⁵ =9x⁵

Answer 2

[tex]\\ \rm\Rrightarrow 3^4x\left(\dfrac{3}{x^2}\right)^{-2}[/tex]

[tex]\\ \rm\Rrightarrow 3^4x\times \left(dfrac{x^2}{3}\right)^2[/tex]

[tex]\\ \rm\Rrightarrow 3^4x\times\dfrac{x^4}{3^2}[/tex]

a^m×a^n=a^m+na^m/a^n=a^m-n

[tex]\\ \rm\Rrightarrow 3^2x^5[/tex]

[tex]\\ \rm\Rrightarrow 9x^5[/tex]


Related Questions

WHAT IS 2 + 2???
(free pointos)

Answers

Answer:

4!$!^#&$*/*$($((!(!!!!!!

Answer:

4

Step-by-step explanation:

can you help me with my question

if a parallelogram is 1.9ft at its base and 1.5 at its height what's its area?

Answers

Answer:

2.85 ft²

Step-by-step explanation:

1.9 x 1.5

Can someone help me with this

Answers

Answer:

B

Step-by-step explanation:

i think its B because the your line is in the negatives and to be specific in -5

and the line that is going to the right that means it is going to the positive so its positive infinet

Hope it's correct

Answer:

hi

Step-by-step explanation:

i think its B

you should inverse the function from x=y line

i cant explain in enlish better than this

hope this helps

if have more questions just ask

Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?

Answers

Answer:

2/3

Step-by-step explanation:

Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?

1 decametre = 10 metres

Hence,

10 meters = 6 pieces of ribbon

1 meter = x pieces

Cross Multiply

10x = 6

x = 6/10

x = 2/3 (1 meter pieces of ribbon)

Dion predicted that he would sell 87 art prints. He actually sold 100 art prints. What are the values of a and b in the table below?

Percent Error

Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Art prints
87
100
a
b


a = negative 13; b = negative 13
a = negative 13; b = 13
a = 13; b = negative 13
a = 13; b = 13

Answers

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

4
Eli's family is going to have
a big go-cart race and each
go-cart takes 3- gallon of
-
gas. If there are 7 go-carts,
how many total gallons of
gas do they need to fill up
all the go-carts?

Answers

Answer:

21 gallons

Step-by-step explanation:

You multiply the amount of go-carts(7) by the amount of gas each go-cart takes(3 gallons.) You get 21 gallons for all the go-carts.

Help plz 20 points do all work

Answers

Answer:

1.7x+1y

2.9x+8n

3.-1r-4n+9y

4.17y-9x

5.-9n-r

Step-by-step explanation:

Combine Like Terms!

Hope this helps! :)

Answer:

1. 8x + 3y - x - 2y

= 8x - x + 3y - 2y

= 7x + y

2. 3n - 7n - 2n + x + 8x

= 3n - 9n + 9x

= - 6n + 9x

3. 2r - 5n + 9y - 3r + n

= 2r - 3r - 5n + n + 9y

= -r - 4n + 9y

4. 12y - 6x + 5y - 3n

= 12y + 5y - 6x - 3n

= 17y - 9n

5. - 13n + 4n - r

= -9n - r

6. 7xy - 8x + 6xy - y

= 7xy + 6xy - 8x - y

= 13xy - 8x - y

7. - 14r - 10n - 3r - 9n

= -14r - 3r - 10n - 9n

= - 17r - 19n

8. 6r + 9r - 2r - 13n

= 6r + 7r - 13n

= 13r - 13n

9. n + r + x - 3x +4r

= n + r + 4r + x - 3x

= n + 5r - 2x

10. 15y - 7x + 9z + 4z - 3x

= 15y - 7x - 3x + 9z + 4z

= 15y - 10x + 13z

Step-by-step explanation:

You just have to group like terms and then 'add' or 'subtract'.

5x + 3y = -15 + y= 2/3x + 9

Answers

-(189/19, 330/19) let me know if you would like an explanation! if i’m wrong please let me know!

Eighth grade
What is the surface area?
1 m
1 m
1 m
square meters

Answers

Answer:

If those are the dimensions the surface area is 6 meters

Step-by-step explanation:

cubes have six sides and each side is one unit

PLS HELP what expression is equivalent to 2 + y + y + y + y + y +3?

Answers

Answer:

5y+5

Step-by-step explanation:

I hope this is right

Look at the the four patterns below.
-16, -8,-4, -2,
16, 19, 22, 25,
1 + 2 + 4 + 8 +,
16, 12, 9, 27/4,81/16
Which pattern does not belong? Write at least one
sentence to explain your reasoning.

Answers

Answer:

27/4,81/16

Step-by-step explanation:

I need help on this question please

Answers

Answer: should be 54m but im not 100% sure if its not right lmk

Step-by-step explanation:

In a biology lab, 500 bacteria reproduce by splitting. Every hour, on the hour, each bacterium splits into two bacteria.

Answers

Answer:hour 1 500, hour 2 1000, hour 3 2000 , hour 4 4000

Step-by-step explanation:

After 1 hour 500 bacteria split into 500 bacteria.

After 2 hour 500 bacteria split into 1000 bacteria.

After 3 hour 500 bacteria split into 1500 bacteria.

After 4 hour 500 bacteria split into 2000 bacteria.

Given that,

In a biology lab, 500 bacteria reproduce by splitting.

Every hour, on the hour, each bacterium splits into two bacteria.

We have to find,

Find the number of bacteria after 4 hours.

According to the question,

Let us assume n = the number of bacteria at a given hour.

Total number of bacteria = 500

At the end of 1 hour each of the 500 bacteria after an hour is split in to 2 bacteria. So, at the end of 1 hour = n(1)  = 1 × 500 = 500 After 1 hour 500 bacteria split into 500 bacteria.

At the end of the 2 hour, each of the 500 bacteria will split in to 2 more bacteria. So, n(2)  = 2 x 500  = 1000 bacteria After 2 hour 500 bacteria split into 1000 bacteria.

At the end of the 3 hour, each of the 500 bacteria will split in to 2 more bacteria. So, n(3)  = 500 x 3  = 1500 bacteria After 3 hour 500 bacteria split into 1500 bacteria.

At the end of 4 hours, each of the 500 bacteria spilt into 2 more bacteria.

       So,  n(4)  = 4 × 500 = 2000 bacteria

       After 4 hour 500 bacteria split into 2000 bacteria.

To know about Multiplication click the link given below.

https://brainly.com/question/15116783

 

The endpoints of a line segment are (–1, 6) and (8, 6). What is the length of the line segment?

A.
2 units

B.
7 units

C.
9 units

D.
12 units

Answers

C. 9 units. It takes 9 units to get from-1 to 8

PLZZ HELPPPP QUIICKK :))

Answers

Answer:

A...................

Megan finds a bag of 24 craft bows at the store. The bag indicates that 23 of the bows are striped. Megan wants to know the number of bows in the package that are striped. Select ALL the statements that are true.

Answers

Answer: B. Megan can divide the number 24 by 3 and then multiply the result by 2 to find the number of striped bows.

C. Megan can multiply the number 24 by 2 and then divide the result by 3 to find the number of striped bows.

F The number of striped bows in the package is 16.

Step-by-step explanation:

Here's the options:

A. Megan can divide the number 3 by 24 and then multiply the result by 2 to find the number of striped bows.

B. Megan can divide the number 24 by 3 and then multiply the result by 2 to find the number of striped bows.

C. Megan can multiply the number 24 by 2 and then divide the result by 3 to find the number of striped bows.

D. Megan can multiply the number 24 by 3 and then divide the result by 2 to find the number of striped bows.

E The number of striped bows in the package is 36.

F The number of striped bows in the package is 16.

The number of bows in the package that are striped will be calculated as:

= 2/3 × 24

= 16

Based on the options given, the correct answers will be:

B. Megan can divide the number 24 by 3 and then multiply the result by 2 to find the number of striped bows.

C. Megan can multiply the number 24 by 2 and then divide the result by 3 to find the number of striped bows.

F The number of striped bows in the package is 16.

The correct options are B, C and F.

Math please help im failing this class its algebra

Answers

Answer:

y=5x+2

Step-by-step explanation:

-5x-4y=-8

-5x+y=2

y=2+5x

y=5x+2

A circle has a mass of 3 grams and a square has a
mass of 2 grams.
What is the mass of a triangle?
an
grams
A.
B. 3 grams
C. 3 grams
D. 11 grams

Answers

3 grams is the answer hope it’s help

identify the zeros of each function please

Answers

Answer:

6 zeros in total

Step-by-step explanation:

Answer:29. (-5,0) 30. (-1,0) (3,0) 31. (0,0) (2,0) (8,0)

Step-by-step explanation:

Find the points that lie on the x axis

A phone company charges for service according to the formula: C(n) = 27 + 0.03n, where n is the number of min talked, and C(n) is the monthly charge, in dollars.

The rate of change in this equation is:

The initial value in this equation is: ​

Answers

Answer:

0.03

27

Step-by-step explanation:

Use the formula y=mx+b

m= slope

b= y-int

Rate of change can also be interpreted as the slope.

0.03

The initial value can be interpreted as the y-intercept.

27

Graph the equation
y = -3. Determine the
slope of the line

Answers

Answer:

The slope is 0

Step-by-step explanation:

The line is horizontal.  All horizontal lines have a slope of 0.

The graph is attached.

What is the solution to the equation below? Round your answer to two decimal places. 6 • e^x =25

A. X= 1.43
B. X= 0.62
C. X=64.50
D. X= 11.33

Answers

Answer:

5

Step-by-step explanation:

i think 5= 25 divided 5 or 2 decimal point


HELP HELP HELP HELP HELP!

Distribute the following expression, and type the equivalent expression into the text box.

3(12x-6)

Answers

Answer: thanks for brainly points kid

Step-by-step explanation:

what is the HCF of 9a² -6ax​

Answers

Answer:

I love you hddmekelejeyeneoeleemeh

I need help with this can anyone please help

Answers

Answer:

56

Step-by-step explanation:

4*7*2 is 56

Hope that helps and please tell me if I am wrong

if 2 quantities are in direct proportion, what happens if one quantity increases?

Answers

Will increase cause of direct increase

Help me please , due soon

Answers

Answer:

Radius=12cm

Diameter=24cm

Step-by-step explanation:

The diameter is the full length of the circle through the middle (which is shown in the picture as 24cm).

The radius is half of the diameter.

Answer:

radius is 12 cm

diameter 24 cm

What’s 16.001 to the nearest one? help me pleaseee

Answers

Answer:

16

Step-by-step explanation:

I think you're referring to the nearest whole number, which should be 16 because that's after the decimal point

Answer: 16
The number directly after the decimal is less than 5, therefore it remains the same

Create and solve a system of equations that will help you find the numbers.

Show your work for credit.

The difference of two numbers is 5 and the difference of their squares is 55. Find the numbers.

Answers

Answer:2 AND 3

Step-by-step explanation:

I need help ASAP please
I will give thanks with Brainlist for correct ans.

Answers

rotations, reflections and translations are isometric, this meaning that these transformations do not change the size of the figure.

i hope this helps :)
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