write 3^n/9^(n-1) as a power of 3

Write 3^n/9^(n-1) As A Power Of 3

Answers

Answer 1

Answer:

[tex]\frac{3^{n} }{3^{2(n-1)} }[/tex]

Step-by-step explanation:

Answer 2

3²⁻ⁿ is the simplification of  3ⁿ/9ⁿ⁻¹ in powers of 3.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is  3ⁿ/9ⁿ⁻¹

three power n divided by nine power n minus one.

To express to the power of 2, we have few properties of exponentials.

aˣ/aⁿ=aˣ⁻ⁿ

aˣ.aⁿ=aˣ⁺ⁿ

The given expression is

3ⁿ/9ⁿ⁻¹

3ⁿ/(3²)ⁿ⁻¹

3ⁿ/3²ⁿ⁻²

3ⁿ.3⁻²ⁿ⁺²

When bases are same then we will add the powers

3ⁿ⁻²ⁿ⁺²

3²⁻ⁿ

Hence 3²⁻ⁿ is the simplification of  3ⁿ/9ⁿ⁻¹ in powers of 3.

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Related Questions

HELP PLEASE. :) I NEED HELP

Answers

The answer is 80 I think

Answer:

I think it’s 80

Step-by-step explanation:

Because it’s the same side just a different angle if it makes sense

Write an exponential function for these two pair of given points: (2,4) (3,2).

Answers

Answer:

[tex]16*(\frac{1}{2})^x[/tex]

Step-by-step explanation:

our equation will look something like this

abˣ=y

We can write the two equations

4=ab²

and

2=ab³

we can divide the second equation by the first and get

[tex]\frac{2}{4}=\frac{ab^3}{ab^2}\\\\=.5=b\\[/tex]

Now that we know what b equals we can plug that value in and solve for a

[tex]4=a*.5^2\\\\a=16[/tex]

Solve the equation. Check your solutions.
|4b+4|=|2b+8|

Answers

Answer:

b = 2 or b = -2

Explanation:

|4b + 4| = |2b + 8|

Solve absolute value

|4b + 4| = |2b + 8|

Either 4b + 4 = 2b + 8 or 4b + 4 = −(2b + 8)

4b + 4 = 2b + 8 (Possibility 1)

4b + 4 − 2b = 2b + 8 − 2b (Subtract 2b from both sides)

2b + 4 = 8

2b + 4 − 4 = 8 − 4 (Subtract 4 from both sides)

2b = 4

2b / 2 = 4 / 2 (Divide both sides by 2)

b = 2

4b + 4 = −(2b + 8) (Possibility 2)

4b + 4 = −2b − 8 (Simplify both sides of the equation)

4b + 4 + 2b = −2b − 8 + 2b (Add 2b to both sides)

6b + 4 = −8

6b + 4 − 4 = −8 − 4 (Subtract 4 from both sides)

6b = −12

6b / 6 = -12 / 6 (Divide both sides by 6)

b = -2

b = 2 or b = -2

In a right angled triangke abc the perpendicular and the base measure 3 cm find hypotenus and three trignometrice ratios

Answers

Given:

In a right angled triangle ABC the perpendicular and the base measure 3 cm.

To find:

The hypotenuse and three trigonometric ratios.

Solution:

Pythagoras theorem:

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

Use Pythagoras theorem in triangle ABC.

[tex]Hypotenuse^2=(3)^2+(3)^2[/tex]

[tex]Hypotenuse^2=9+9[/tex]

[tex]Hypotenuse=\sqrt{18}[/tex]

[tex]Hypotenuse=3\sqrt{2}[/tex]

The three trigonometric ratios are

[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin \theta=\dfrac{3}{3\sqrt{2}}[/tex]

[tex]\sin \theta=\dfrac{1}{\sqrt{2}}[/tex]

Similarly,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\cos \theta=\dfrac{3}{3\sqrt{2}}[/tex]

[tex]\cos \theta=\dfrac{1}{\sqrt{2}}[/tex]

And,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\tan \theta=\dfrac{3}{3}[/tex]

[tex]\tan \theta=1[/tex]

Therefore, the hypotenuse is [tex]3\sqrt{2}[/tex] cm and three trigonometric ratios are [tex]\sin \theta=\dfrac{1}{\sqrt{2}}, \cos \theta=\dfrac{1}{\sqrt{2}}, \tan \theta=1[/tex].

Which of the following expressions has a value that is greater than -1? Select all that apply.
A) -6 + 6
B) -8 - (-11)
C) 9 + (-7)
D) -3 – 5
E) -8 + (-2)

Answers

Answer:

A. -6+6=0 0>-1

C. 9+(-7)=2 2>-1

9) A cow is tethered with a rope 20 ft long. What is the maximum area the cow can graze?

Answers

Answer:

If the rope is 20 ft long, then the maximum area the cow can graze is:

[tex]\pi \\[/tex]r^2 square feet.

[tex]\pi[/tex] is approximately 3.14, so that means we have: 3.14(20^2) = 1256 ft squared.

Thus, the maximum area that the cow can graze is 1256 ft squared.

Let me know if this helps!

The cow's maximum grazing area is 1256 ft squared. The grazing area is found as the area of the circle.

What is the area?

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.

If the rope is 20 feet long, the cow can graze the following area:

A=πr²

A=3.14(20)²

A=1256 ft squared.

As a result, the cow's maximum grazing area is 1256 ft squared.

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solve the inverse for k
2(k-12)-5(k+2)<-9k+4k

Answers

Answer: K< 17
_____________

What is the y-intercept of function g if g(x) = -4f(x) + 12?
OA. (0,-4)
OB. (0,12)
OC. (0,8)
OD. (0,1)

Answers

Answer:

the correct answer is C (0,8)

Step-by-step explanation:

got 100%

Answer: C (0,8)

Step-by-step explanation: correct on test

Answer fasttt plsssssss

Answers

Answer:

25ax25b= 625

Find the nth term of the sequence
0, 5, 14, 27, 44......​

Answers

Answer:

aₙ = 2*n*n - n -1

Step-by-step explanation:

a₁ = 0

a₂ = 5 = 2*2*2 -2-1 = 8-3 = 5

a₃ = 2*3*3 -3-1 = 18-4 =14

a₄ = 2*4*4 - 4-1 = 32-5 =27

......

aₙ = 2*n*n - n -1

Mary found a pair of boots that cost $60. Sales tax is 7%. What is the total price Mary will pay for the boots?

Answers

Answer: $64.20

Step-by-step explanation:

Cost of shoe = $60

Sales tax rate = 7%

Sale tax = 7% × $60 = 7/100 × 60 = $4.20

The total price paid by Mary

= Cost of shoe + Sales tax

= $60 + $4.20

= $64.20

Holly has a hard drive that she uses to store her digital music . The hard drive has 500-megabyte total storage capacity, but only 7/10 of the hard drives capacity is free. What amount of hard drive in the megabytes had Holly used to store her digital music? A. 200 megabytes
B. 350 megabytes
C. 150 megabytes
D. Not here

please help guys i’ll be giving points and BRAINLIEST. thank you so much love y’all!!

Answers

Answer: Your answer would be B

350 megabytes

Step-by-step explanation:

500 divided by 10 = 50.

50 x 7 = 350

Hope this helps ^w^

Emerson struck out 122 times in 350 at bats. What is his percentage of strike outs?

Answers

Answer:

Around 35%

Step-by-step explanation:

122/350 = 0.35

Answer:

32%

Step-by-step explanation:

We are told out of 350 times, he stuck out 122 times. As a fraction, we can say he struck out 122/350 times.

As a fraction, we can easily convert this to a decimal by dividing the numerator (top number) by the denominator (bottom number).

So, 122/350 = 0.32.

Now, we can easily convert this to a percentage by multiplying by 100.

0.32 x 100 = 32%

I also need help on this

Find the missing angle

Answers

the missing anigal i a 82 degrez trangal

180 - (20 + 35) = 125°

180 - 156 = 24°

180 - (24 + 125) = 31°

The answer is 31°

help please. 10 points to who help me​

Answers

9514 1404 393

Answer:

  64/109 ≈ 0.5872

Step-by-step explanation:

41 + 23 = 64 of the events have outcome E.

An additional 35 + 10 = 45 do not.

The probability of an outcome of E is 64 out of a total of 64+45 = 109 events.

  P(E) = 64/109 ≈ 0.5872

Systems of equation graph helppppp

Answers

Answer:

(1,4)

Step-by-step explanation:

Your solution to the system of equations is where the two lines intersect.

On this problem, it is the point (1, 4)


4/11+2/5 give your answer in its simplisest form

Answers

Answer:

here..

Step-by-step explanation:

42/55

Answer in simplest form is 42/55

Mrs Jones wants to paint a wall but not the door on the wall How many square feet of wall does Mrs. Jones need to paint? 15ft 10ft 3ft 7ft ​

Answers

Answer:

B)cevap B olmalı.....,,,

Hey, what is 197 x 2245?

Answers

Answer:

442265

Step-by-step explanation:

Answer:

yall could have not left me you know

Step-by-step explanation:

i mean at least you could have said bye but you didn't i still havn't found friends half as good as yall

Find the length of ST​

Answers

The Answer is 85 chief

Answer:

85 lol

Step-by-step explanation:

27+58=85

What is it?
??????????????????????

Answers

Answer:

c) 95 feet

Step-by-step explanation:

perimeter = πd

3.14*18=56.52 in

20 revolutions =56.52*20=1130 in =95 feet

PLEASE HELP ME I WILL GIVE BRAINLIEST!
Find the length of BD for square ABCD.
B
23
A
D
The length of BD is a
(Type an integer or decimal rounded to one decimal place as needed.)

Answers

Answer:

BD = 32.5

Step-by-step explanation:

Since this is a square, the length of all the sides are equal. So line AB = BC = CD = DA = 23

Additionally, all the interior angles are the same (90°)

To find the length of BD, you can cut the square in half diagonally to form two right angled triangles, ABD and BCD.

For either one, BD is the hypotenuse of the right angled triangle so we can use Pythagoras' theorem to solve for the that (since we also know the legnth of the sides)

a = 23

b = 23

c = BD, which we have to find

[tex]a^{2} +b^{2} =c^{2} \\23^{2} +23^{2} =c^{2} \\\sqrt{23^{2} +23^{2} } = c\\\sqrt{529+529} =c\\\sqrt{1058} = c\\32.5 = c[/tex]

therefore the length of BD is 32.5

hope this helps!

Isaac was standing by an apple tree. He noticed that the shadow of the tree measured 270 inches in
length and his shadow measured 111 inches in length. If Isaac is 74 inches tall, how tall is the apple
tree?
270 in
74 in
111 in
180

Answers

Searching for the answer right now.

An online video streaming service offers two plans for unlimited streaming.

Plan A has a one-time $25 membership fee and is $8 per month.

Plan B has a $12 membership fee and is $5 per month.

Write the system of equations!

Answers

Answer:

b

Step-by-step explanation:

Plz answer fast they need to be ordered 1 through 5

Answers

43251 i’m pretty sure

The scale factor from drawing 1 to drawing 2 is ___ %

Please help! Fill in the blank

I will give brainliest

Answers

Answer:

ghggyffxvbvucfyiyiyxozhlhzguvufcbi8

y = mx + b is a slope intercept form of a line. Rewrite the formula in terms of x.

Answers

Answer:

(y-b)/m = x

Step-by-step explanation:

We need to isolate X!

y = mx + b

minus b

y-b=mx

divide by m

(y-b)/m = x

Hope this helps!

Answer:

x = ʸ ⁻ ᵇ⁄ₘ

Explanation:

y = mx + b

Switch Sides

mx + b = y

Subtract 'b' From Both Sides

mx + b - b = y - b

Simplify

mx = y - b

Divide Both Sides By 'm'

ᵐˣ⁄ₘ = ʸ⁄ₘ - ᵇ⁄ₘ

Simplify

x = ʸ ⁻ ᵇ⁄ₘ

- PNW

How do you solve for x ?​
please dont respond just for points

Answers

Answer:

X is 110cm

Step-by-step explanation:

35degrees plus 90degrees equals 125degrees

So 125-15=110cm

Please answer the 2 question.
Will be marked

Answers

Answer:

1. 12.6  2. 21.4

Step-by-step explanation:

1. c=2piR, so if the radius is 2, then 2 times 2 then times 3.14= 12.6(rounding to the nearest tenth)

2.i already explained the formula, so it should be 3.4*2 then times 3.14= 21.4

x/4 = 2
what is the answer to x?

Answers

Answer:

8/4=2

Step-by-step explanation:

4x2=8

x=8


explanation: You multiply both sides of the equation by 4 and get 4x x/4=4x2
you cancel out the 4s & 4x2 =8
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