Simplifying exponents (picture provided)

Simplifying Exponents (picture Provided)

Answers

Answer 1

Answer:

3^2 ; Option B

Step-by-step explanation:

We are given the equation 3^ -6 * ( 3^4 / 3^0 )^2, which can be solved through the application of exponential rules;

[tex]3^{ - 6 } * ( 3^{ 4 } / 3^{ 0 } )^{2} - take 3^{ 0 } as 1,\\\\3^{ - 6 } * ( 3^{ 4 } / 1 )^{2} - take 3^{4} to power of 2, ( * of exponents ),\\\\3^{ - 6 } * ( 3^{ 8 } ) - combine powers, adding exponents,\\\\3^{ - 6 + 8 } - add like terms,\\\\3^{2} \\\\Solution; 3^{2}[/tex]

3^2 ; Option B

Answer 2

Answer:

The answer would be [tex]3^{2}[/tex].

Step-by-step explanation:

-Solve the following equation:

[tex]3^{-6} \times ( 3^{4} \div 3^{0})^{2}[/tex]

-When dividing integers, the exponents would subtract each other. So, you subtract exponent [tex]0[/tex] and [tex]4[/tex]:

[tex]3^{-6} \times ( 3^{4} \div 3^{0})^{2}[/tex]

[tex]3^{-6} \times ( 3^{4})^{2}[/tex]

-Simplify [tex]3^{4}[/tex] by the exponent [tex]2[/tex]:

[tex]3^{-6} \times ( 3^{4})^{2}[/tex]

[tex]3^{-6} \times 3^{8}[/tex]

-When multiplying integers, the exponent would add up together. So, you would add [tex]-6[/tex] and [tex]8[/tex]:

[tex]3^{-6} \times 3^{8}[/tex]

[tex]3^{2}[/tex]

So, the answer is [tex]3^{2}[/tex].


Related Questions

In one U.S.​ city, the taxi cost is $2 plus $0.50 per mile. If you are traveling from the​ airport, there is an additional charge of $6.00 for tolls. How far can you travel from the airport by taxi for ​$38.00​?

Answers

Answer:

60 miles

Step-by-step explanation:

the equation for the cost for traveling from the airport can be represented by y= .50x + 2 + 6

where y is the final cost and x is the amount of miles. plug in 38 to y to get 38 = .50× +2 + 6. Solve for x.

38-6 =.50× +2

32 =.50x +2

32-2=.50x

30=.50x

30/.50=x

60=x

therefore, the 60 miles is how far you can go with $38

1. A pair of Nike Air Jordan sneakers cost $139.99. There is a 35% off sale going on at Foot Locker. Sales tax is 8.125% in Orange County. Round your answers to the nearest cent and submit a numeric answer.
-2-Find The Sale Price
-3-Find The Tax
-4-Find The Total
Separate Them by Number Please
(Show work too) Thank you

Answers

Answer:

A pair of Nike Air Jordan sneakers cost $139.99.

There is a 35% off sale going on at Foot Locker.

=> Sale price = 139.99 - 139.99 x 35/100 = ~$90.99

Sales tax is 8.125% in Orange County.

=> The tax = 90.99 x 8.125/100 = ~$7.39

The total price is calculated by:

P = The sale price + The tax = 90.99 + 7.39 = ~$98.38

Hope this helps!

:)

Answer: Sale price before tax $90.99

Tax $7.39

Total after tax $98.38

Step-by-step explanation:

Sale price 139.99 x 0.65 = 90.99

Tax 90.99 x 8.125/100 = 7.39

Total 90.99 + 7.39 = 98.38

Pleaseeee helpppp me

Answers

Answer:

Check photo

Step-by-step explanation:

Answer:

The area is

Step-by-step explanation:

First,

[tex]8.6 *7.7=66.22[/tex]

[tex]14.3-7.7=6.6[/tex]

[tex]6.6 * 8.6=56.76[/tex]

[tex]56.76 /2 =28.38[/tex]

[tex]66.22 + 28.38= 94.6[/tex]

Hope this helps

The ordered pair (2, 25) is a solution for which equation(s)? Check all that
apply.

Answers

hey i think u forgot to put a picture! or the answer choices

what is the simplified form of x + 8 / 4 - x + 5 / 4

A. x + 3 / 4
B. x - 3 / 4
C. 3 / 4
D. 2x + 13 / 4​

Answers

Answer:

I think it is d

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex]\frac{x+8}{4}-\frac{x+5}{4}=\frac{x+8-(x+5)}{4}\\\\=\frac{x+8-x-5}{4}\\\\=\frac{3}{4}[/tex]

Which equation correctly shows how to determine the distance between the points (9, –2) and (6, 3) on a coordinate grid?

Answers

Answer:

D = √(6 - 9)^2 + (3 + 2)^2]

Step-by-step explanation:

This is an application of the Pythagoras theorem:

D = √ [(x2 - x1)^2 + (y2 - y1)^2] where the 2 points are (x1, y1) and

(x2, y2).

So in this case we have

D = √[(6 - 9)^2 + (3 - -2)^2]

D = √(6 - 9)^2 + (3 + 2)^2]

If
you
equation of the new function?
shift the reciprocal parent function, F(x) = , right 4 units, what is the
O A. G(x) = x+A
O B. G(x) = 1 + 4
C. G(x) = 1
4
X
1
O D. G(x) =
x + 4

Answers

Answer: G(x)= 1/x-4

Step-by-step explanation:

The required function is G(x)=1/(x-4)

What is function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

The given parent function is

f(x)=1/x

By taking f(x), and applying a left or right and/or up or down transformations to it,

The function could be written using the equation f(x-h)+k.

Doing so will make the graph of the function move h units to the left or right. (Positive or negative) (make sure the operation before the h is subtraction when determining the sign of h)

Also, when finding k (up and down) (positive or negative) apply this function.

Then the new function we get

G(x)=(x-h)+k

As a result, plug in your right 4 units as h, and since you are not needing to move up or down k would be 0.

So, G(x)=1/(x-(4))+0

or simplified,

G(x)=1/(x-4)

To learn more about function visit:

https://brainly.com/question/8892191

#SPJ7

A bag contains 5 white, 3 black, and 2 green balls. Balls are picked at random.
Explain why the events picking a black ball and then another black ball are
dependent. Then identify the probability,

Answers

Answer:

look down there

Step-by-step explanation:

First ball:

Probability of drawing a white ball is 5/8

Probability of drawing a black ball is 3/8

Second ball:

This depends on the first ball drawn, lets say you drew a white ball initially, 4 white balls are left out of 7 balls in total. The probability of a white ball in the second pick is 4/7.

Total probability of drawing two white balls is 5/8*4/7 (since they are independent events).

If you picked a black ball initially, picking another black ball would have a probability of 2/7, on similar grounds , total prob for 2 blacks would be 3/8*2/7.

The probability that you pick 2 balls of same color is (5/14 + 3/28) = 13/28. (Since they are mutually exclusive events)

The probability of picking a black ball and then another black ball is; Due to conditional probability and is equal to 1/15

How to solve conditional probability?

Conditonal probability means that the probability of one event is affected or depends on the probability of another event.

Now, total balls in the bag is;

Total balls = 5 + 3 + 2

Total balls = 10 balls

Probability of first picking a black ball is;

P(black ball first) = 3/10

Now, when a black ball is picked, there will ba 9 balls left in the bag of whih only 2 are black. Thus, the probability of picking another black ball is;

P(black ball second) = 2/9

Thus;the probability of picking a black ball and then another black ball is;

P(black ball | black ball) = 3/10 * 2/9

P(black ball | black ball) = 1/15

Read more about Conditional Probability at; https://brainly.com/question/10739997

Blake has 3 cakes that he wants to divide evenly amongst his classmates. If he wants to give each classmate 1/5 of a cake, how many classmates does he have enough cake for?

Answers

Answer:

he would have enough for 15 classmates

You deposit $2,000 in a bank account paying 4% annual interest and leave the money
there for 5 years. Use the simple interest formula to compute the future value of this account.

Answers

Answer: $2400

Step-by-step explanation:

SI = Prt / 100

SI = 2000 x .04 x 5

SI = 400

FInal Amount = 2000 + 400 = $2400

what's the value of x?
A.28
B.36
C.20
D.17​

Answers

Answer:

c.20

Step-by-step explanation:

x^2+21^2=29^2

x^2+441=841

x^2=400

x=20

The value of X is 20 , your answer would be C ! Hope this helps :)

PLZ HELP!!!!!! ALGEBRA!!!!!!!!!!!

Answers

Answer:

prety sure its 2,3,4,1

Step-by-step explanation:

Rewrite the equation in slope intercept from 5x+y=7

Answers

Answer: y=-5x+7 ✌️ Is correct

Y=Mx+b

y= -5x+7 equation written in slope intercept form

Help asap plz, shshshjdhshxh

Answers

What are you trying to find
Since angel 6 is 38° then u can do 180-38 to get 142°

Find the length of the missing side of the triangle shown below. Round to the nearest tenth, if necessary.

Answers

Answer:

The length of the missing side is 21.9 m.

Step-by-step explanation:

The Pythagorean Theorem states that a² + b² = c². (a = small side, b = long side, c = hypotenuse). Substituting the values from this triangle into the Pytagorean Theorem equation, we get:

9² + 20² = c²

81 + 400 = c²

481 = c²

√481 = c

21.9 = c

Which quantity is proportional to 35/80

Answers

Answer:

35/80

u want to find a number that is proportional to 35/80, then all u need is a number that is equivalent...another words, if it is proportional, it is an equivalent fraction to 35/80.

there can be several answers to this...such as 35/80 reduces to 7/16...so 7/16 is proportional....or if u multiply numerator and denominator by the same number, u will find a proportional number...

example :

35/80 * 2/2 = 70/160...this is proportional

35/80 * 3/3 = 105/240...this is proportional

35/80 * 4/4 = 140/320...this is also proportional

and so on....

so without giving us any answer choices, there can be many numbers to choose from

Please answer!


What's the inverse of f(x) = 3x^3 - 4?

Answers

Answer:

C i know this for a fact

Step-by-step explanation:

hope this helps ''whole lotta love'' NUNU

Answer:

answer is c

Step-by-step explanation:

took the test lol

an empty 1200 gallon tank is filled with water at a rate of 6 gallons of water per minute. At the same time another 1200 gallon tank full of water is being drained at a rate of 9 gallons per minute how many minutes will it take for the amount of water in both tanks to become the same

Answers

Answer: 80 minutes

Step-by-step explanation:

Hi, to answer this question we have to write an equation for each tank:

An empty 1200 gallon tank is filled with water at a rate of 6 gallons of water per minute.  

So, the amount of water of the tank is equal to the filling rate, 6 liters per minute (6m)

Tank 1 =0 (empty )+ 6m  =6m

The second 1200 gallon tank full of water is being drained at a rate of 9 gallons per minute.

Tank 2 = 1200-9m

So, the amount of water in the tank is equal to the amount of water already in the tank (1200 g), minus the draining rate (9m)

Since both tanks will have the same amount of water:

6m = 1200-9m

Solving for m  (minutes):

6m+9m= 1200

15m = 1200

m= 1200/15

m= 80 minutes

Feel free to ask for more if needed or if you did not understand something.

Tyler has asked for a fish tank for his birthday. The tank he wants is a rectangular prism 20 inches long, 10.5 inches wide, and 12.5 inches tall. What is the volume of the fish tank?

Answers

Answer:

2625 inches ^3

Step-by-step explanation:

20(10.5) =210

210 ( 12.5) = 2625

factoring
factor: 80n^2+56n​

Answers

Answer:

4480n^3

Step-by-step explanation:

just multiply 80n x 56n and get 4480n but since 80n is to the 2nd and 56n is to the first add them to get to the power of 3 and put that on 4480n

Answer:

8n(10n +7)

Step-by-step explanation:

80n^2+56n​

Factor out the greatest common factor 8n

8n(10n +7)

Create one equation with the distributive property and explain how to solve it.

Answers

Answer:

See explanation

Step-by-step explanation:

An example of an equation with the distributive property would be:

3(x+4) = 30

The distributive property tells us:

3(x+4) = 3x+12, since the 3 carries into both x and 4.

Therefore, you have:

3x + 12 = 30

-> 3x = 18

-> x = 6

2(3+4)=? would be an equation that you can perform distributive property on.

To solve it, multiply 2x3 and then multiply 2x4 once you have the answers, add them together. That is how to use distributive property. Thanks!

What does the following define?
Through a given point not on a given line there is exactly one line parallel to
the given line.
A. Playfair Axiom
B. Euclid's fifth postulate
O C. Riemann's Negation
OD. Zeno's Paradox
SUBMIT​

Answers

Answer A is correct because the straight line is called a parallel line

Which of the following math skills are useful in planning an effective budget?
Estimating
Organizing data
Finding perimeter and area
Finding averages
Data gathering

Answers

Answer:

Finding averages.Organizing data.Estimating.Data gathering.

Step-by-step explanation:

When we plan an effective budget, we certainly need to gather some data about the theme, which includes, prices, description of the stuff we need. Once we have the data we need, then we must organize it to set priorities, to make the budget effective.

Additionally, estiamting and finding averages are important skills, because we need to estimate how effective is the budget. In fact, maybe we would desing different budgets to compare them and analyse, using averages, which one is the most effective.


The absolute value of a number is always positive or 0.
A. True

B. False

Answers

A. True. True. True. True. True.
The answer is true.

Will mark brainliest!

Answers

Answer:

n-3/n

Step-by-step explanation:

use the inequality symbol to compare 5+(-4)____________14+(-13)

Answers

Answer:

5+(-4)=14+(-13)

Explanation:

5+(-4)=1

14+(-13)=1

What is the sum of
-2 and
-18

Answers

Answer:

-20

Step-by-step explanation:

-2+(-18)

-2-18

-20

Answer:

-20

Step-by-step explanation:

Have a good day and stay safe!

Please help with this

Answers

Answer:

D) <1 and <2, <1 and <8, <2 and <3, <3 and <8

Step-by-step explanation:

Supplementary angles are angles that add to 180 degrees. So, D is correct.

Simplify the expression.

[tex]\frac{5}{\sqrt{3}-2 }[/tex]

Answers

Answer:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

PLEASE HELP!! Use triangle ROE to find the following. Leave the answer in fraction form (no decimal answer).

Answers

Step-by-step explanation:

tan Q = opposite / adjacent

tan Q= RO/ OE

tan Q = 8/ 15

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