Find the product with the exponent in simplest form.

Find The Product With The Exponent In Simplest Form.

Answers

Answer 1

Answer:

x = 7 , y = 12

Step-by-step explanation:

using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

consider left side

[tex]6^{\frac{1}{3} }[/tex] × [tex]6^{\frac{1}{4} }[/tex]

= [tex]6^{(\frac{1}{3}+\frac{1}{4}) }[/tex]

= [tex]6^{(\frac{4}{12}+\frac{3}{12}) }[/tex]

= [tex]6^{\frac{7}{12} }[/tex] = [tex]6^{\frac{x}{y} }[/tex] , comparing exponents , then

x = 7 and y = 12


Related Questions

if 25 copies cost Rs 750 what is the cost of 20 copies .​

Answers

Answer: 600

Step-by-step explanation: 750 divided by 25 =30

30 x 20 = 600

pls give me brainlest <3

Answer:

600

Step-by-step explanation:

Firstly,you have to divide 750 to 25.Then you will get 1 copy Rs 30.After that,you must multiply 30 to 20 then you will get 600.Hope this will help you!

How many students can a van and a bus carry?

Answers

Answer: A van can carry up to 7-14 people a hooded school bus can carry up to 60 people the flat buses can carry up to 90 people.

Step-by-step explanation:

Three pounds of rice is divided equally and put into bags. If each bag gets half a pound of rice, how many bags are there?

Answers

So, there is three pounds. Each bag gets a half pound. Two half pounds = one full pound. One full pound is two bags. Another pound is another two bags. And same with another. So that'd be 6 bags, one half pound each.

Phone calls arrive at the rate of 48 per hour at the reservation desk for regional airways.

A) Compute the probability of receiving three calls in a 10-minute interval of time?(to 4 decimals)

B) Compute the probability of receiving exactly 13 calls in 15 minutes. (To 4 decimals)

C) Suppose no calls are currently on hold. If an agent takes 10 minutes to complete the current call, how many callers do you expect to be waiting by that time?

D) What is the probability that none will be waiting?

E) If no calls are being processed, what is the probability that the agent can take 5 minutes for a personal time without being interrupted by a call?

Answers

The different probabilities and number of callers expected to be waiting are;

A) P(x = 3) = 0.0286

B) P(x = 13) = 0.1056

C) 8 will be waiting

D) P(x = 0) = 0.0003

E) P(x = 0) = 0.0067

How to find probability using Poisson distribution?

We are given the rate of 48 phone calls per hour.

Thus, we will use poisson's distribution formula;

P(x) = (λˣ × e^(-λ))/x!

A) Probability of receiving three calls in a 10-minute interval of time which is P(x = 3). Thus;

λ = 48 * (10/60)

λ = 8

P(x = 3) = (8³ × e⁻⁸)/3!

P(x = 3) = 0.0286

B) Probability of receiving exactly 13 calls in 15 minutes is P(x = 13). Thus;

λ = 48 * (15/60)

λ = 12

P(x = 13) = (12¹³ × e⁻¹²)/13!

P(x = 13) = 0.1056

C) No calls are currently on hold and it takes 10 minutes to complete one call. Thus;

λ = 48 * (10/60)

λ = 8

Thus, 8 will be waiting after 10 minutes.

D) Probability that no one will be waiting is;

P(x = 0) = (8⁰ × e⁻⁸)/0!

P(x = 0) = 0.0003

E) No calls being processed and it takes 5 minutes for a personal time without being interrupted by a call. Thus;

λ = 48 * (5/60)

λ = 4

P(x = 0) = (4⁰ × e⁻⁵)/0!

P(x = 0) = 0.0067

Read more about probability with poisson's distribution at; https://brainly.com/question/7879375

Describe how the transformed function below is obtained from its parent function.
y = |x-1|

Answers

Check the picture below.

[tex]y=\stackrel{A}{1}|\stackrel{B}{1}x\stackrel{C}{-1}|+\stackrel{D}{0}\qquad \stackrel{\textit{horizontal shift}}{\cfrac{-1}{1}=-1}\leftarrow \textit{to the right by 1 unit}[/tex]

find the volume of the rectangular pyramid ​

Answers

Answer:

Volume = 112

Step-by-step explanation:

formula: V = (1/3) × L × W × h,

[tex]formula: V = ( \frac{1}{3} ) × L × W × h, \\ = \frac{1}{3} \times 8 \times 7 \times 6 \\ divide \: both \: 3 \: and \: 6 \\ = 1 \times 8 \times 7 \times 2 \\ = 56 \times 2 \\ = 112[/tex]

Lol please help find the value of x thank you

Answers

Answer:

x=30

Step-by-step explanation:

that's a 90º angle so 90÷3=30

write a pythogorean triplet whose smallest number is 16​

Answers

Answer:

(16, 63, 65)

Step-by-step explanation:

A Pythagorean Triple is a set of positive integers, a, b and c that fits the rule: a² + b² = c²

Use the formula for generating triples (a, b, c):

(2m, m² - 1, m² + 1) where 2m is the smallest number

Let

a = 2mb = m² - 1c = m² + 1

Given a = 16  ⇒ m = 8

⇒ b = 8² - 1 = 63

⇒ c = 8² + 1 = 65

So the pythogorean triple whose smallest number is 16 is (16, 63, 65)

WILL GIVE BRAINLIEST!!!
How would you graph Y = -2X? Explain from beginning to end.

Answers

Step-by-step explanation:

Since there is no y-intercept, you start at the origin (0, 0)

The slope tells us that for every two units it goes down, it also goes one unit to the right

We know this because slope is rise/run (in this case -2/1) and the slope is negative, meaning that it starts higher up at the left and goes down towards the right.

To graph, start at (0, 0) and go down 2 units to get (0, -2) and then to the right one unit to get (1, -2)

That is the first point

Continue doing this

(1, -2) -> down 2 and to the right 1 -> (2, -4)

Alternatively, plug in values for x

y = -2(1) -> y=-2

When x=1, y=-2

And keep repeating until you get a good idea of what the line looks like

4. If the radius of a circle is 24 feet, what is the diameter?

Answers

Answer: 12

Step-by-step explanation:

hey could someone please explain and help me please ?

Answers

Answer:

No

Step-by-step explanation:

The inequality k ≥ 10 means "the variable, k, is equal to or more than 10." We are asked if 9 is a solution to the inequality.

The number, nine, is not a solution to this inequality, as 9 is not more than or equal to 10.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

No

Step-by-step explanation:

Hello.
The inequality pictured above (k≥10) means that any solution that is greater or equal to 10 fits it. Think of an alligator being the inequality symbol and wants what's bigger. Obviously if k is bigger the alligator wants that over a 10.

In this problem, when 9 is inputted to k, is it bigger or equal then ten?

It is not, which means it is NOT a solution.

Hope this helped!

Which segment is a diameter of this circle? TX¯¯¯¯¯ VX¯¯¯¯¯¯ XY¯¯¯¯¯¯ I don't know. The figure shows a circle with center T. In a clockwise direction, the points W, Z, V, Y, and X are on the circle with point W located on the upper half of the circle to the left. Segments connect T with W, T with Z, T with V, and T with X. A segment connects X with Y.

Answers

Answer:

The answer is VX

Step-by-step explanation:

I took the test.

Stella has points card for a movie theater

-she receives 25 reward points for just signing up

-she earns 12. Five points for each visit to the movie Theater

-she needs at least 103 points for a free movie ticket

Right and soften inequality which can be used to determine v, the number of visits Stella can make to earn her first free movie ticket

Answers

Answer:
12.5v+25=130
v=8.4
You can’t visit 8.4 times. So you would need to visit 9 times to get a sufficient amount for a ticket.

HELLLPPPPPPPPP ILL GIVE BRAINLY LIKEESS!!!

Michael draws a card from a standard deck of 52 cards (and puts it back) 20 times.

How many times can Michael expect to draw a diamond?

Enter your answer as a number, like this: 42

Answers

Answer:

5

Step-by-step explanation:

NAAAAAA git trippen

Michael can expect to draw a diamond 5 times.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The probability of drawing a diamond from a standard deck of 52 cards is 13/52 or 1/4.

Since Michael draws 20 cards with replacement, each draw is independent and follows a binomial distribution with n=20 and p=1/4.

The expected number of times Michael will draw a diamond is given by:

E(X) = n×p

= 20 × (1/4)

= 5

Therefore, Michael can expect to draw a diamond 5 times.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

factories 12x-30 please help me

Answers

Answer:

6(2x - 5)

Step-by-step explanation:

The greatest common factor of 12x and 30 is 6.

12x - 30 = 6(2x - 5)

Heya ~

[tex]\huge \underline \purple {\mathcal{YOUR \: ANSWER \: :}[/tex]

[tex]\sf{= \: 6 \: (2x \: - \: 5)}[/tex]

[tex]\huge \boxed {\underline{Explanation :}}[/tex]

[tex]\sf{12x \: - \: 30}[/tex]

[tex]\sf{Rewrite~ 12~ as ~6 ~^. ~2}[/tex]

[tex]\sf{Rewrite~ 30~ as ~6 ~^. ~5}[/tex]

[tex]\sf{= 6~^.~2x~-~6~^.~5}[/tex]

[tex]\sf{Factor~out~the~common~term~6}[/tex]

[tex]\sf{= \: 6 \: (2x \: - \: 5)}[/tex]

Hope It Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer~:}[/tex]

Jace ~

2 questions please help

Answers

Answer:

10

Step-by-step explanation:

solving the system of equation you get the answer 10

What divisor is represented by the synthetic division below?
N
12
-5
10 1 5
-10 0 -5
2 0 1 0
05
O 5
O x + 5
O x-5
B

Answers

Answer:

-5 is the answer

Step-by-step explanation:

we use the divisor which is dividing other

Choices below

The exponential function decays at one-half the rate of the quadratic function.
The exponential function decays at the same rate as the quadratic function.
The exponential function decays at two-thirds the rate of the quadratic function.
The exponential function decays at three-fourths the rate of the quadratic function.

Answers

Answer:

Option D

Step-by-step explanation:

Use shortcut trick:-

Mark the change in y axis

Starting point is same (-2,4)

Ending points

Quadratic=(0,0)Exponential=(0,1)

Change:-

Quadratic=4Exponential=3

Hence decay rate is three fourth

Please help for 20 points!! thank you if you help

Answers

Answer:y-4 = -3/4(x-3)

Step-by-step explanation:

y-4 = -3/4(x-3)

y-4 = -3/4(x+3)

y = (-3/4)x - (9/4)+(4)

y = (-3/4)x - (9/4)+(16/4)

y = -3x/4 +7/4

Answer:

B: y= -2x+2

Step-by-step explanation:

General equation in slope intercept form:

y= mx+b , where m = slope, and b= y-intercept

For points (x1= 3, y1= -4) and (x2= 0, y2= 2)

m = ( y2-y1)/ (x2-x1) = (2- -4)/(0 -3) = 6/ -3 = -2

Choose one of the points that belong to the line and use it's coordinates

y = -2x + b , use point (x= 0, y= 2)

2 = -2*0 + b, 2= b

y= -2x+2

How do you find the x value of an angle​

Answers

Answer:

Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle. If you are working with equilateral triangles, divide 180 by three to find the value of X.

Step-by-step explanation:

I hope this helps you.

1) 32% de 1400
2) 2% de 4800
3) 77% de 1500

Answers

Answer:

1)446

2)96

3)1155

Step-by-step explanation:

Can someone please help me with this?? I need help asap! Please do all if you can and not just one.
Express this equation in logarithmic form.
2^3 = 8

Express this equation in logarithmic form.
6^3 = 216

Express this equation in logarithmic form.
4^0.5 = 2

Express this equation in logarithmic form.
b^x = N

Express this equation in logarithmic form.
y = 10^x

Answers

Log2 (8)= 3

Log6 (216) = 3

Log4 (2)= 0.5

Logb (N)= x

Log10 (y) =x

Pls answer all the question pls

Answers

The topic is easy. I hope you're not just cheating.

Answer:

a. A^9 b.b^10 c.a^p+2 d. A^p+q e. B^10+r f. A^p+r g.a^10 h. B^ p+q+r

I. A^p+q+1 J. A^13+p

Step-by-step explanation:

How many ridges would there be on $10 worth of quarters?

Answers

Answer:

4760

Step-by-step explanation:

First you find out how many are in a dollar so you do

119*4 which is 476

Then because there is $10 you need to do

476 * 10 which would be 4760

Answer:

4,760 ridges

Step-by-step explanation:

10(119x4)

(pemdas)

119x4=476x10=4760

Train A stops every 35 minutes and Train B stops
every 15 minutes. If both trains stop at 7:30
a.m., what is the next time they will both stop at
the same time?

Answers

You're looking for the smallest number that's a multiple of both 30 and 40.

If you've learned about "Least Common Multiple" by now, you'll be happy

to know that that's exactly what this is, (because when you were learning it,

you wondered what in the world you could ever use it for).  Well here you are.

The least common multiple of 30 and 40 is 120.

That's the 4th multiple of 30 and the 3rd multiple of 40.

If the trains are both in the station right now, then the next time they'll

both be here together will be 2 hours (120 minutes) from now.

And let me say in conclusion that when you ask for help with

a multiple-choice question, you must also post the choices that

you have.  It's not fair to the helper if he doesn't know the choices

one and two fourths plus three and three fourths
a
two and one fourth
b
four and one fourth
c
five and one fourth
d
six and one fourth

Answers

Answer:

c

Step-by-step explanation:

im smart

Answer:

its c

Step-by-step explanation:

one plus three, then three plus 2 of fourths carry over the one to the 4 and it becomes 5 and 1 fourth

pls help dum answer=report
question in picture

Answers

Answer:

The third one because its the only one that doesn't have the same (x) twice

Step-by-step explanation:

lmk if this helped

Students in 10th and 11th grade were asked whether they have a job. The raw data was converted to relative frequencies and recorded in the table below. A 4-column table with 3 rows. The first column has no label with entries job, no job, total. The second column is labeled tenth grade with entries 0. 14, 0. 86, 1. The third column is labeled eleventh grade with entries 0. 25, 0. 75, 1. The fourth column is labeled total with entries 0. 20, 0. 80, 1. Given the conditional relative frequency table by column, what does the 0. 14 represent? Given that a student is a 10th grader, there is a 14% chance he or she has a job. Given that a student has a job, there is a 14% chance he or she is a 10th grader. 14% of the students surveyed are 10th graders who have a job. 14% of the students are 10th graders.

Answers

Option A is correct because 0.14 represents that if a student is a 10th grader, there is a 14% chance he or she has a job.

It is given that there is a table with 4 columns and 3 rows.

What is a conditional relative frequency table?

It is a special type of frequency table that shows relationships between two categories.

From the attached table it is clear that 0.14 is the probability of getting a job if a student is a 10th grader,

Option B is incorrect, stating there is a 14% chance a student is a 10th grader if he/she has had a job because we do not know the number of students.

Option C is also incorrect stating that 14% of the students surveyed are 10th graders who have a job because we do not know the total number of students.

Option D is also incorrect because we do not know the number of students.

Therefore,Option A is correct because 0.14 represents that if a student is a 10th grader, there is a 14% chance he or she has a job.

To get more about conditional relative frequency, refer to the link,

https://brainly.com/question/22728236

Answer: A

Step-by-step explanation:

What is the product of 3/7 x 2/5? my little sister needs help and I would appreciate if someone could help me out! :)

Answers

Answer:

B

Step-by-step explanation:

Apply the fraction rule:

[tex]\frac{a}{b}[/tex]×[tex]\frac{c}{d}[/tex] = [tex]\frac{ac}{bd}[/tex]

2×3=6 (numerator/top number)

7×5=35(denominator/bottom number)

352, 345, 338, ...
Find the 43rd term.

Answers

Answer:

Step-by-step explanation:

first term = a = 352

Common difference = d = second term - first term

                                  = 345 - 352

                                   = (-7)

nth term = a + (n-1)*d

43rd term = 352 + (43-1)*(-7)

                 = 352 + 42 *(-7)

                  = 352 - 294

                  = 58

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