Simplify the expression:
The picture is down below

Simplify The Expression: The Picture Is Down Below

Answers

Answer 1

Answer:

[tex]\frac{4x^{21}}{y^{11}}[/tex]

Step-by-step explanation:

You are going to need to know two properties of exponents.  

[tex]x^a * x^b = x^{a+b}\\\frac{x^a}{x^b}=x^{a-b}[/tex]

Also know that a*b = b*a, so youc an change the order of multiplication.  

Since everything is being multiplied in the numerator, and there is only multiplication, it's actually super easy to start.  Just multiply everything.

[tex]8x^9y^8(-2)x^5y^{-9} = -16x^{14}y^{-1}[/tex]

so now you have [tex]\frac{-16x^14y^{-1}}{-4x^{-7}y^6}[/tex]

Again, since the numerator and denominator only have multiplication you can divide part by part.  so the number divides the number, the x term divides the  term and the y term divides the y term

-16/-4 = 4

x^14 / x^-7 = x^21

y^-1 / y^6 = y^-7

So all together that makes[tex]4x^{21}y^{-7}[/tex]

The final step in simplifying is making all negative powers into fractions.  Sometimes non whole numbers can be made into roots.  Definitely make negative powers fractions though

[tex]\frac{4x^{21}}{y^{-7}}[/tex]


Related Questions

Question
A bag contains 3 pink gumballs, 4 red gumballs, and 2 green gumballs. Find the probability that you do not draw all green
gumballs if there are 3 drawings that occur and the gumballs are replaced after each draw. Round your answer to two
decimal places.
Provide your answer below

Answers

Answer:

.47

Step-by-step explanation:

9 gumballs in all

7 of them are not green

'ng' = not green

P(ng,ng,ng) = 7/9 x 7/9 x 7/9 = .47

The probability will be 0.87.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring.

Given that,

Number of Pink gumballs = 3,

Number of Red gumballs = 4,

Number of Green gumballs = 2,

Now,

Total number of gumballs = 3 + 4 + 2 = 9,

Thus, total number of ways of selecting 3 gumball

= 9 x 9 x 9

= 729

Number of Green gumballs = 2

Number of gumballs other than green = 9 - 2 = 7

So, Number of ways to draw 3 gumballs other than green is;

= 7 x 7 x 7

= 243

And, Number of ways to draw one green and two other gumballs in 3 draw = 2 x 7 x 7 + 7 x 2 x 7 + 7 x 7 x 2

       = 294

( Since the green gumballs can be drawn in 1st, 2nd, and 3rd draw.)

Thus, The probability of not drawing all 2 green gumballs is;

= 343 + 294 /729

= 637/729

= 0.87

So, The probability will be 0.87.

Learn more about the probability visit:

https://brainly.com/question/25870256

#SPJ6

water flows into a tank through a cylindrical pipe with a radius of 10cm at a rate of 30cm/sec. how long will it take to fill the water tank? give answer in hours and minutes.
volume of tank is 157.5m

Answers

Answer:

volume of tank is 157.5m

Step-by-step explanation:

that's too high

please help me with roots

Answers

Answer and Step-by-step explanation:

There aren't any real roots.

This is because the equation isn't factorable. You would have to use the quadratic formula to find the roots, which would be imaginary roots, and not real roots.

#teamtrees #PAW (Plant And Water)

x+3= -10 what is x in the equation

Answers

X=-13 hope this helps

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

Answers

Answer:No

Step-by-step explanation:

What is the constant of variation of c=2.15g
Thx to all that help

Answers

Answer:

Since the equation can be written in the form y=kx, y varies directly with x and k. The constant of variation, k, is 2.15

Can someone please solve this

Answers

i don't know what it is but i need points 17

5 in = ___________ ft

Answers

Answer:

0.416667 foot

Step-by-step explanation:

Answer: 0.41666667

Step-by-step explanation:

From the internet

If f(x)=3x^2+x-2, then f(-2)=

Answers

Answer:

f(- 2) = 8

Step-by-step explanation:

To evaluate f(- 2) , substitute x = - 2 into f(x) , that is

f(- 2) = 3(- 2)² + (- 2) - 2 = 3(4) - 2 - 2 = 12 - 4 = 8

HELP PLSS I BEG plss

Answers

Answer:

Answer for 3:

its 6/2 and 3/1 because 6/2 simplified is 3 and 3/1 is 3

Step-by-step explanation:

Answer for 4

box one 1/4

box 2 4/10

box 3 3/4

5th grade math. correct answer will be marked brainliest.

Answers

Answer:

(1,23) , (2,28) , (3,32) , (4,35)

Step-by-step explanation:

Just match the X value with its corresponding Y value

A model rocket is launched directly upward at a speed of 20 meters per second from the ground. The function f(t)=−4.9t2+20t, models the relationship between the height of the rocket and the time after launch, t, in seconds. When, in seconds after launch, will the rocket reach its highest point? Round to two decimal places.

Answers

Answer:

The rocket will reach its highest point about 2.04 seconds.

Step-by-step explanation:

The function:

[tex]f(t)=-4.9t^2+20t[/tex]

Models the relationship between the height of the rocket and the time after launch t in seconds.

Since this is a quadratic function, the rocket will reach its highest point at its vertex. The vertex of a quadratic is given by:

[tex]\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)[/tex]

In this case, a = -4.9, b = 20, and c = 0. Thus:

[tex]\displaystyle t=\frac{-(20)}{2(-4.9)}=\frac{10}{4.9}\approx 2.04[/tex]

The rocket reaches its maximum height after 10/4.9 or about 2.04 seconds.

Further Notes:

Then the maximum height of the rocket will be f(10/4.9):

[tex]\displaystyle f\Big(\frac{10}{4.9}\Big)=-4.9\Big(\frac{10}{4.9}\Big)^2+20\Big(\frac{10}{4.9}\Big)\approx20.41\text{ feet}[/tex]

Please help me with this! Picture is provided and only answer is you know it!

Answers

Answer:

Option A

Step-by-step explanation:

Number of components assembled by the new employee per day,

N(t) = [tex]\frac{50t}{t+4}[/tex]

Number of components assembled by the experienced employee per day,

E(t) = [tex]\frac{70t}{t+3}[/tex]

Difference in number of components assembled per day by experienced ane new employee

D(t)= E(t) - N(t)

D(t) = [tex]\frac{70t}{t+3}-\frac{50t}{t+4}[/tex]

      = [tex]\frac{70t(t+4)-50t(t+3)}{(t+3)(t+4)}[/tex]

      = [tex]\frac{70t^2+280t-50t^2-150t}{(t+3)(t+4)}[/tex]

      = [tex]\frac{20t^2+130t}{(t+3)(t+4)}[/tex]

      = [tex]\frac{10t(2t+13)}{(t+4)(t+3)}[/tex]

Therefore, Option A will be the answer.

8. Carisa is four inches taller than her friend Lily.

Answers

Answer:

cool

Step-by-step explanation:

The entire graph of the function f is shown in the figure below.
Write the domain and range of f as intervals or unions of intervals.

Answers

you need to put a picture of the graph

23. Find the perimeter and area of the rectangle below. 10x^2 7xy^2​

Answers

Answer:

Area= 70x^3y^2

Perimeter = 20x^2 + 14 xy^2

Step-by-step explanation:

Area is just multiplying the length and width, I multiplied the constants first which gets us 70 then multiplied the variables, they combine however only the x's can be multiplied to each other which results in 70x^3y^2 .  The perimeter you just multiply the length by two and the width by two, they are separate because the variables when added to each other do not combine.  

Which expression is equivalent to the expression below?
g + g+g+g+g+g

Answers

Answer:

6 x g

Step-by-step explanation:

Answer:

[tex]g^{6}[/tex]

Step-by-step explanation:

Choose all that correctly solve for the variable x
[tex]\frac{5}{2} x[/tex] = [tex]\frac{15}{2}[/tex]
x = 3
------------------------------------------------------------------------------
x + [tex]\frac{7}{2} = 7\\x
= \frac{7}{2}[/tex]
---------------------------------------------------------------------------------
x + 3 = [tex]\frac{21}{5}\\x
= \frac{5}{6}[/tex]
----------------------------------------------------------------------------
5x = \frac{11}{2}
x = |frac{10}{11}

Answers

Answer1. X = 32. [tex] \frac{7}{2} [/tex]3.

[tex] \frac{5}{6} [/tex]

Hope it Helps

Does someone know the answer I NEED IT NOW

Answers

Answer:

2nd option ,

A is correct, B is incorrect, C is correct

A is correct B is incorrect C is correct

Can a triangle have three acute angles? Justify your answer

Answers

Yes because each side can be measured at atleast 90 degrees.

How do savings account differ from checking accounts
- they’re not offered at banks
- they typically pay interest
- the funds are easier to get
-you have to keep the money in for a long

Answers

Answer:

Savings accounts typically pay interest.

Step-by-step explanation:

Solve the equation.
q − 11 = 16

Answers

Answer:

q = 27

Step-by-step explanation:

Answer: 27

Step-by-step explanation: 16+11=27

HEEEELPPPPPPPPP Which properties describe the graph of (x + 5)2 + (y – 10)2 < 169?

Answers

Answer:

circle with center at (–5, 10), shading inside the circle

Step-by-step explanation:

edge2021

Answer:

A. circle with center at (–5, 10), shading inside the circle

Which three dimensional figures could be used

Answers

Answer:

A cube, rectangular prism, sphere, cone and cylinder are the basic 3-dimensional shapes we see around us.

Answer this page: BIG REWARD GRANTED

Answers

Answer:

there seems to be no page ...

15 POINTS!!!!
7 ÷ 0.1 = 7 ÷ 1/10

7 is 1/10 of____.

Help Please

Answers

7 is 70 out of 1/10.

please give thanks if i am correct, i think this is the question you're asking.
7 is 70 outta 10 !!!!

Find the sum of the first 10 terms of the following series to the nearest Integra 3, 5, 25/3,...​

Answers

Answer:

S(10)=3*(1-(5/3)^10)/(1-5/3)

Step-by-step explanation:

It is Geometric series with r:

r=5/3=(25/3)/5=5/3

a=3

Sum of G.S. in formula:

S(n)=a(1-r^n)/(1-r)

S(10)=3*(1-(5/3)^10)/(1-5/3)

=246.5725...

3. Factor the following trinomial. x^2 - 15x + 56.

Step 1: The trinomial factors as x2 + bx+ c = (x + p)(x + 9), where p+ q = b and p. q = c. Fill in the
following table with all of the possible values of p and q, using the fact that their product is the
constant term, c = 56. (4 points)

Answers

Answer:

(-7, -8)

Step-by-step explanation:

Yes, this is the same answer as the other person, but I just included the other factors, a picture of my table, and the answer to part two is "The pair (-7, -8) equal the coefficient of the x-term in the trinomial."

Have a great day, I hope this helps you or anyone else who might've needed this!

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

I believe this question should be one solution

Step-by-step explanation:

Hope this Helped

Hannah does push-ups in sets of three she did 10 sets of push-ups today then her coach asked her to do 15 more push-ups how many push-ups did Juana do today

Answers

Answer:

30+ 15 =45

Step-by-step explanation:

(3×10)+15 =45

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