What is the simplified expression for 6^4.6^3 over 6^5
6^1
6^2
6^3
6^7

Answers

Answer 1

Answer:

6^2

Step-by-step explanation:

Question:-To simplify the given expression

Expression:-[tex] \frac{ {6}^{4} . {6}^{3} }{ {6}^{5} } [/tex]Solution:-

[tex] = \frac{ {6}^{4} . {6}^{3} }{ {6}^{5} } [/tex]

[As we know, a^x . a^y = a^(x+y)]

[tex] = \frac{ {6}^{(4 + 3)} }{ {6}^{5} } [/tex]

[On Simplification]

[tex] = \frac{ {6}^{7} }{ {6}^{5} } [/tex]

[As we know, a^x / a^y = a^(x-y)]

[tex] = {6}^{(7 - 5)} [/tex]

[On Simplification]

[tex] = {6}^{2} (ans)[/tex]


Related Questions

how to turn 18/48 into the power of 10 please tell the answer as soon as possible, it's for my semester

Answers

1. You can do this 18/48x18/48x18/48x 18/48 and so on. X is not a variable
2. You can write down a power or in text you use a carrot or a ^ and write 18/48^10

ITS DUE TMRW!! PLS HELP


What is the value of x in the solution to this system of equations?


5x − 5y = 120


y= −7x + 8


Enter your answer in the box.

Answers

Answer:

x  =  24  +  y

Step-by-step explanation:

Move all terms that don't contain  x  to the right side and solve.

Answer:

Step-by-step explanation:

5x − 5y = 120

y= −7x + 8

Use the second equation in the first (eliminates y)

5x − 5(−7x + 8) = 120

5x (+35x -40) = 120

40x -40 = 120

40x = 160

x = 4

----

If x = 4:

y= −7x + 8

y= −7*(4) + 8

y= -28 + 8

y = -20

====

The solution is (4,-20)

Prove the following:

1 + cos^2 A = 2 ( cos^4A + sin^4A)​

Answers

The 2 sides of the equation are not equal; hence, I cannot prove them to be true.

A map of a nature park has a scale of 2 inches to 1.5 miles. There are two trails that are 8 inches apart on the map. What is the actual distance between the two trails?

Answers

Answer:

6 miles

Step-by-step explanation:

2 inches : 1.5 miles

8 inches : 4(2 inches)

8 inches : 4(1.5 miles)

8 inches : 6 miles

6 miles away

-Chetan K

The actual distance between the two trails is 6 miles.

Given the scale of the map is 2 inches to 1.5 miles, we can set up a proportion to find the actual distance between the two trails.

Let x represent the actual distance between the trails in miles. The proportion would be:

(2 inches / 1.5 miles) = (8 inches / x miles)

Now, solving for x:

2/1.5 = 8/x

Cross-multiplying:

2x = 1.5 × 8

2x = 12

Divide by 2:

x = 6

So, the actual distance between the two trails is 6 miles.

Learn more about proportion here:

https://brainly.com/question/1496357

#SPJ3

The table shows the population of a small town over time. The function P = 10,550(1. 1)x models the population x years after the year 2000. A 2-column table with 5 rows. The first column is labeled years after 2000, x with entries 0, 3, 4, 7, 10. The second column is labeled population, P with entries 10,5000; 14,000; 15,500; 20,500; 27,000. For which year would this model most likely be sufficient to make a prediction of the population? 1950 2005 2025 2050.

Answers

The population model is most sufficient for 2005 because 2005 is the closest to 2000

The population function is given as:

[tex]P(x) = 10550(1.1)^x[/tex]

From the question, we understand that the population model is for years after 2000.

This means that the model cannot be used for the year 1950; because 1950 is before 2000.

The model can be used for years 2005, 2025 and 2050.

However, it is most sufficient for 2005 because 2005 is the closest to 2000, and the population model can change with time

Read more about population functions at:

https://brainly.com/question/15680851

Answer:

B!

Step-by-step explanation:

Simplify the expression. Write your answer as a power.
4.5^5/4.5^3
The simplified expression is

Answers

When you have the same base buy different exponents, subtract the exponents:
5-3=2
4.5^2

(2x + 23), (8x + 2) and (20x – 52) are three consecutive terms of an arithmetic sequence.
Prove that the common difference of the sequence is 12

Answers

Step-by-step explanation:

Given (2x + 23), (8x + 2) and (20x - 52) are three consecutive terms of an arithmetic sequence.

(8x + 2) - (2x + 23) = (20x - 52) - (8x + 2)

or, 6x - 21 = 12x - 54

or, 12x - 6x = - 21 + 54 = 33

or, 6x = 33

or, 2x = 11

∴ x = 11/2

∴2x + 23 = 2 × 11/2 + 23 = 34

8x + 2 = 8 × 11/2 + 2 = 46 and

20x - 52 = 20 × 11/2 - 52 = 110 - 52 = 58

34, 46 and 58 are three consecutive terms of an arithmetic sequence.

∴ Common difference(d) = 46 - 34 = 58 - 46 = 12, it is proved.

Hence, the common difference of the sequence is 12.

Write the equation of the line that passes through the point -3,4 and slope of 6

Answers

Answer: y=6x+22
Explanation:
1. we first start with the equation y=Mx+b
2. Then we plug in the slope (6) into M
3. Now you have y=6x+b
4. Now you plug in your point (-3,4) into the y and the x values
5. You are now stuck with 4=6(-3)+b
6. Now multiply 6 and -3 which gets you -18
7. Your new equation is now 4=-18+b
8. Now add 18 to both sides of the equals sign
9. Now you have 4+18=b
10. Add 4+18 which gets you 22. B is 22
11. Plug b into the equation and turn the values of x and y back to those letters
12. You now have the answer of y=6x+22

Emir is ordering theater tickets online for up to four of his classmates for an upcoming show. The ordering fee is $4 and the cost per ticket is $8.

Answers

Answer:

y=8x+4

Step-by-step explanation:

I am assuming you are asking for an equation.

Total cost = $8*(number of people) + $4

How many real roots does the quadratic function h (x) = 2x2 – 3x + 6 have?

Answers

3
±
i

39
4
I hope this helps

can someone help me out plz

Answers

Answers:

A = 3

B = -7

C = 3

D = -7

======================================================

Explanation:

You could use the AC method to factor, but I think the method described below is a more efficient way of factoring.

Set the given expression equal to zero and solve for x using the quadratic formula. So the goal is to find the roots for [tex]9x^2-42x+49=0[/tex]

We'll plug in a = 9, b = -42, and c = 49.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-42)\pm\sqrt{(-42)^2-4(9)(49)}}{2(9)}\\\\x = \frac{42\pm\sqrt{0}}{18}\\\\x = \frac{42+0}{18}\\\\x = \frac{42}{18}\\\\x = \frac{7}{3}\\\\[/tex]

Because the root is x = 7/3, it leads to the factor 3x-7 = 0

Note that we go from x = 7/3 to 3x = 7 after multiplying both sides by 3. Then we subtract 7 from both sides.

It turns out that we have two copies of the identical factor (3x-7) because x = 7/3 is a double root.

So in reality we have the factorization (3x-7)(3x-7) which we can shorten into (3x-7)^2 if we wanted.

Use the box method or FOIL method to expand (3x-7)(3x-7) and you should get 9x^2-21x-21x+49 which simplifies to 9x^2-42x+49. This confirms we have the correct factorization.

Therefore, A and C are both 3, while B and D are both -7.

50 POINTS PLEASE HELP FILL IN BLANKS!!!!


An ______ is a data point that falls away from the rest of the points in a scatter plot. It doesn't seem to fit with the rest of the points. ______ are groups of points that are all graphed close together. A ____ occurs when there are points clustered at two different spots on a scatter plot.


Answers

Answer:

Outlier, clusters, and gap in your value.

Step-by-step explanation:

An OUTLIER is a data point that falls away from the rest of the points in a scatter plot. It doesn't seem to fit with the rest of the points. DATA CLUSTERS are groups of points that are all graphed close together. A GAP IN VALUE occurs when there are points clustered at two different spots on a scatter plot.

3\sqrt{ }528
please help

Answers

Answer:

8.08248

Step-by-step explanation:

Use a calculator

is this a function

Find the domain and range

Answers

Answer:

Yes

Domain: 1, -1, 0, -3, 3

Range: 1, -1, 6

Step-by-step explanation:

The domain is in the left oval, the range is in the right oval. To find if its a function you have to make sure the domain (left side) doesn't "cheat". One number in the domain cant have more than one number in the range (right side), BUT (for future reference) the range can cheat. As shown, the right side numbers 1 and 6 have two different arrow pointed at them. As long as the domain doesnt "cheat" it is a function

A) by AA similarity
B) by sas similarity
C)Not enough information
D) by sss similarity




Please see the photo



Please don't answer randomly because if you answer randomly you are gonna lose points

Answers

Answer: b

Step-by-step explanation:

Answer: It's yes and (D) SSS because all the angles are side side side and all have the same angles but one's smaller while the other is bigger but that doesn't change anything. :)

Step-by-step explanation:

A project will take 720 person-days to complete. How many days will it take to complete the project if 5 people work on it?

Answers

720/5= 144, it will take 144 days for 5 people to finish the project.

Mr. Rao's gas tank holds up to 1718 gallons of gas. It took 12.65 gallons of gas to fill his tank.

How many gallons of gas did Mr. Rao have in his tank before he filled it?

Enter your answer as a decimal or as a mixed number in simplest form in the box.

gal

Answers

4.475 or 4 19/40 gallons

How?

12.65=253/20

253/20= 12 13/20

////////

I need a similar denominator of 12 13/20 and 17 1/8.

12 13/20×2/1= 12 26/40

17 1/8×5= 17 5/40

17 5/40-12 26/40= 4 19/40

Therefore,

the answer is 4 18/40 gals

Answer:

4 19/20                      

Step-by-step explanation:

17 1/8 - 12 13/20 = 4 19/20

WILL GIVE BRAINLIEST

y = 2x - 9


y = 1/2x + 3

These two lines are:
parallel
perpendicular
neither

Answers

Answer:

neither

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 9 ← is in slope- intercept form

with slope m = 2

y = [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

2 ≠ [tex]\frac{1}{2}[/tex] , then lines are not parallel

2 × [tex]\frac{1}{2}[/tex] = 1 ≠ - 1, then lines are not perpendicular

Carmen can make 9 bracelets each day. She needs to make at
least 120 bracelets to sell at a craft fair. She estimates she will need more
than 13 days to make enough bracelets. Is she correct? Explain.

Answers

Step-by-step explanation:

yes because If you divide 120 by 9 you get 13.333 so technically speaking she is correct

What is the coefficient of the term x°ys in the
expansion of the binomial expression
(2x - y)8?

Answers

Answer:

if it is (2x-y)8

then it is 16x - 8y

[tex]x^0[/tex]y = 1.y = y

so the co efficient of y is -8

Step-by-step explanation:

solve similar triangles (advanced)

Answers

Answer:

  x = 9/4

Step-by-step explanation:

Locate point G on segment DE so that DG = 1 and GE = 4. CG is parallel to AD, so ΔCGE ~ ΔABC. Corresponding sides are proportional.

  AB/BC = CG/GE

  x/1 = 9/4

  x = 9/4

_____

Additional comment

Using the given triangles, you can write the proportion statement as ...

  (9+x)/x = 5/1

We judge this to take more steps to solve, so we prefer the method shown above.

Which triangle congruence postulates can be used to prove that Triangle ABD is congruent to Triangle CDB in Rectangle ABCD?

Answers

Answer:

SSS, SAS, ASA, AAS, HL

Step-by-step explanation:

1. SSS (side side side) says if 3 sides of one triangle are congruent to 3 sides of another triangle, then the 2 triangles are congruent.

2. SAS (side angle side) says if 2 sides and the included angle of a triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent.

3. ASA (angle side angle) says if 2 angles and the included side of a triangle are congruent to 2 angles and the included side of another triangle, then the 2 triangles are congruent.

4. AAS (angle angle side) says if 2 angles and the none included side of one triangle are congruent to the corresponding parts of another triangle, then the 2 triangles are congruent.

5 HL (hypotenuse leg) says if 2 right triangles that have a congruent hypotenuse and a corresponding congruent leg, then the 2 triangles are congruent.

Because it is a rectangle, the sides are equal, and they share the same hypotenuse.

NEED HELPPP ASAAPPPPPPP

Answers

Answer:

me too

Step-by-step explanation:

6 divided by 4 write your answer in a decimal form

Answers

The answer should be 1.5

Answer:

1.5

Step-by-step explanation:

Four goes into six once, then four goes into 20 5 times

John has decided to get in shape for the new year. He is planning to joining the local fitness club. The fitness club charges customers a $14.95 monthly fee plus a one time joining fee $110.00.

What is the total cost John will pay for a 12-month membership at the fitness club?

Answers

110+(14.95 x 12)= $289.40


f(x) = -3x – 1
g(x) = x2 + 6x – 12
Find: g(f(x))

Answers

Find g(f(x)) f(x)=3x^2+6x-4 g(x)=-3x+4. f(x)=3x2+6x−4 f ( x ) = 3 x 2 + 6 x - 4 g(x)=−3x+4 g ( x ) = - 3 x + 4. Set up the composite result function.

If 3x = 21, find the value of 23 - 4x​

Answers

Answer:

- 5

Step-by-step explanation:

Given

3x = 21 ( divide both sides by 3 )

x = 7

Then

23 - 4x = 23 - 4(7) = 23 - 28 = - 5

How do I Solve for 5x+2=180

Answers

=> 5x + 2 = 180=> 5x = 180 - 2=> 5x = 178=> x = [tex] \frac{178}{5} [/tex]=> 35.6

What is the scale factor of the
dilation shown?

Answers

Answer:

2

Step-by-step explanation:

tyson is 6 feet 2 inches tall. there are 2.54cm in 1 inch. what is tysons height in centimeters?

Answers

Answer: Tyson is 188 centimetres tall.

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