simplify the monomials

Simplify The Monomials

Answers

Answer 1

Answer:

[tex](4a)^{-3}*^{-4}[/tex]

[tex]x^m*x^n=x^{m+n}[/tex]

[tex](4a)^{-3}*a^{-4}[/tex]

[tex](-4)^{-3}\: a^{-3}*a^{-4}[/tex]

[tex]4^{-3}\:a^{-3-4}[/tex]

[tex]\cfrac{1}{4^3} \:a^{-7}[/tex]

[tex]\boxed{\frac{1}{64a^{7}} }[/tex]

~

[tex](3xy)^2*(-4x^3y^2)^3[/tex]

[tex]9x^2y^2*(64x^9y^6)[/tex]

[tex]\boxed{-576x^{11}y^8}[/tex]

~

[tex](4a^{-1}b^5c^{-3})^3[/tex]

[tex](4)^3(a^{-1})^3(b^5)^3(c^{-3})^3[/tex]

[tex](4*4*4)\:a^{-1*3}\:b^{5*3}\:c^{-3*3}[/tex]

[tex]64\:a^{-3}b^{15}c^{-9}[/tex]

[tex]\boxed{\frac{64b^{15}}{a^3c^9}}[/tex]


Related Questions

if there are 5 students who like singing and 4 students who have pets what fraction of students like to sing?

Answers

5/1

Step-by-step explanation:

you get the whole number which is 5, turn it into a fraction which is 5/1 and it says 5 students like to sing.

I hope this helped

#5/1 is answer

27 points please help me out which are equivalent

Answers

Answer:

a)

[tex]8(x + 5)[/tex]

b)

[tex]13y + 10[/tex]

Step-by-step explanation:

Hope it helps you<3

Answer:

(a) 1st, 2nd

(b) 4th

Step-by-step explanation:

(a) Option 1: Expanding with the distributive property, we have

[tex]8(x+5)=8x+8\cdot 5\\~~~~~~~~~~~~=8x+40,[/tex]

which is equivalent.

Option 2: Multiplying the terms gives

[tex]8\cdot x+8\cdot 5= 8x+40[/tex],

which is equivalent.

Option 3: We don't know what x is, so there is no way to write [tex]48x[/tex] as [tex]8x+40[/tex]. This is not equivalent.

Option 4: Expanding with the distributive property gives

[tex]8(5x+1) = 8\cdot 5x+8\cdot1\\~~~~~~~~~~~~~=40x+8,[/tex]

which is not equivalent.

(b) First, we combine like terms in the given expression:

[tex]12+14y-2-y=12-2+14y-y\\~~~~~~~~~~~~~~~~~~~~~~~=10+(14-1)y\\~~~~~~~~~~~~~~~~~~~~~~~=10+13y.[/tex]

Looking at the given answer choices, only the fourth option is equivalent.

"Ready
Vicki sketches a right triangle with legs of lengths x and y and a hypotenuse of length z. She writes an equation that
relates x, y, and z. Then, she writes an expression for the length of the hypotenuse. Which expression does she write?
x² + y²
C
x? + 22
/xty

Answers

Answer:

sqrt(x^2+y^2)

Step-by-step explanation:

x^2+y^2=z^2 (Pythagorean theorem)

sqrt(x^2+y^2)=sqrt(z^2)

sqrt(x^2+y^2)=z

1
21 points
Define each sequence as Geometric (common ratio r), Arithmetic (common difference d), or Neither.
-25,-18,-11,-4



Answers

Answer:

Its an Arithmetic progression

Step-by-step explanation:

d1= -18-(-25)= 7

d2= -11-(-18)= 7

d1 = d2

r1 = -18/25=0.72

r2 = -11/-8= 0.611

r1 isnt = r2

Nicole deposits $600 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 5 years?

Answers

Answer:

Donna will be paid

$

80

as interest.

Explanation:

S

I

=

P

×

R

×

T

100

Applying the formula for simple interest we get:

S

I

=

800

×

2

×

5

100

S

I

=

8

00

×

2

×

5

1

00

S

I

=

8

×

2

×

5

S

I

=

80

Step-by-step explanation:

Answer:

$80

Step-by-step explanation:

Did this question in class before ;D

The population of Florida has increased, on average, at a rate of 8% per year since 1953. In 1993, the population of Florida was 13 million.

What was the population in 1953?

Answers

Answer: The human population in 1953 was 598 people.

Does anyone know how to do this?

Answers

Answer:

y = - 3x - 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

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

y = 10 - 3x = - 3x + 10 ← is in slope- intercept form

with slope m = - 3

y = - 6x - 4 ← is in slope- intercept form

with y- intercept c = - 4

then equation of required line is

y = - 3x - 4

Hello!

The slope of the first line is -3.

The y-intercept of the second line is -4.

How did I identify the slope & y-intercept?

Let me share my "secret"

Well, both equations are written in slope-intercept form (y=mx+b)

where m = slope & b = y-intercept.

Now you know ;-)

Anyway, the new line should have the same slope as the first line (-3)

And the y-intercept of the second line is -4.

So the equation is

y=-3x-4

Hope everything's clear!

#KeepLearning

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS MATH QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER. To the nearest whole number what is the area of the regular hexagon?

______units squared

Answers

Answer: 42

Step-by-step explanation:

A construction company makes cement stairs from a wooden mold. The construction company must calculate the volume of the mold to determine how much cement they need to create the stairs.

What is the volume of the wooden mold?
A.
7,000 in3
C.
6,000 in3
D.
9,000 in3

Answers

Considering the volume of a rectangular prism, it is found that the volume of the wooden mold is given by:

C. 6,000 in³

What is the volume of a rectangular prism?

The volume of a rectangular prism of length l, width w and height h is given by:

[tex]V = lwh[/tex]

In this problem, the wooden mold is composed by two rectangular prisms:

The first has dimensions of 25 in, 10 in and 12 in.The second has dimensions of 20 in, 12 in and 12 in.

Hence the volume in cubic inches is given by:

[tex]V = 25(10)(12) + 20(12)(12) = 5880[/tex]

Rounding, it is closest to 6000 in³, hence option C is correct.

More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528

PLEASE HELP QUICK! MARKING BRAINLYEST!

You want to find out the height of a tree, so you hold a square cardboard so that the edges line up with the top and bottom of the tree, as shown in the diagram below. Your friend measures the horizontal distance from you to the tree, and the vertical distance from the ground to your eye.

What is the height of the tree to the nearest tenth of a foot?

Answers

The height of the tree to the nearest tenth of foot is 20.5 ft

Right angle triangle:

A right angle triangle has one of its angles as 90 degrees. The sides can be found using Pythagoras theorem.

The side of the base triangle can be found using Pythagoras theorem.

c² = a² + b²

c² = 9.2² + 5.8²

c² = 84.64 + 33.64

c = 10.9 ft

using similar triangle ratio,

5.8 / 10.9 = 10.9 / x + 5.8

5.8x = 118.81 - 33.64

x = 85.17 / 5.8

x = 14.6844827586

x = 14.7 ft

The height of the tree to the nearest foot is  14.7 + 5.8 = 20.5  ft

learn more on right angle triangle here: brainly.com/question/26909069

What is the height of a right circular cylinder that has a volume of 48 cubic centimeters and a radius of 2 centimeters

Answers

Answer:

the answer will be 3.82 . Hope this helped

Step-by-step explanation:

Vanessa deposits $24,000 into each of two savings accounts. • Account I eams 2.4% interest compounded annually. • Account II eams 2.4% annual simple interest • There are no additional deposits or withdrawals. What is the sum of the balances of these accounts at the end of 5 years? I WILL GIVE BRAINLIEST JUST ANSWER ME WITH THE RIGHT ANSWER AND FAST/ASAP
A. $53,760.00
B.$53,901.59
C. $54,043.20
D. $56,640.00​

Answers

Answer:

B

Step-by-step explanation:

I just took the test. Sorry for the late response.

ANSWER FAST PLEASE
what is the degree of the polynomial

Answers

Answer:

The degree of a polynomial is the largest exponent on one of its variables (for a single variable), or the largest sum of exponents on variables in a single term (for multiple variables).

Step-by-step explanation:

ere, the term with the largest exponent is , so the degree of the whole polynomial is 6.

Where are earthquakes generally more violent violent
(a) along a plate boundary where tension is released frequently or
(b)along a boundary where tension builds up over a greater period of time

Answers

Answer:

B

Step-by-step explanation:

Earthquakes are formed when a plate is stuck and it later releases (which creates the shaking). The more tension, the greater an earthquake is.

Hope this helps :)

Have a nice day

What are the solutions to the equation below:
4x^x+1 = 5^-x

Answers

Answer:

I think it's E?

Step-by-step explanation:

hope this is right, if so then...

Pls, choose me as brainliest!


Using the Pythagorean Identity find the cos(0) if the sin(0) =20/29 given that the terminal side is in the 2nd
quadrant. You must show all work.

Answers

The value of cosθ from the trigonometric identity is equal to -21/29

Data;

sin(0) = 20/29quadrant = 2nd quadrant

Pythagorean Theorem

This formula is used to find the missing side of a right angle triangle.

This is given as

[tex]hypothenuse^2 = adjacent^2 + opposite^2[/tex]

But in trigonometric ratio, the sine ratio is

[tex]sin \theta = \frac{opposite}{hypothenuse}[/tex]

This implies that

opposite = 20hypothenuse = 29adjacent = ?

Let's find the adjacent using Pythagorean theorem

[tex]x^2 = y^2 + z^2\\29^2 = 20^2 + z^2 \\z^2 = 29^2 - 20^2\\z^2 = 441\\z = \sqrt{441} \\z= 21[/tex]

Now that we know the value of adjacent,

The value of cos(0) will be

[tex]cos \theta = \frac{adjacent}{hypothenuse} \\cos \theta =- \frac{21}{29}\\[/tex]

Note: The negative sign in front of the ratio indicates the fact that in the second quadrant, only sine theta is positive, the rest are negative.

The value of cosθ is equal to -21/29

Learn more on Pythagorean theorem here;

https://brainly.com/question/343682

Find the slope of the line that passes through A(0,−5) and B(3,−4) .​

Answers

Answer:

1/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-4-(-5))/(3-0)

m=(-4+5)/3

m=1/3

-3 |2x-1| = -15
Solve for X.

Answers

Brainliest plss!
Have a good day :)

Answer:

download Goutmath try it .

Because Goutmath help you in math so try it

During a record setting rainfall, 0.057 inch of rain fell every
minute for 35 minutes. How much rain fell in 10 minutes?

Answers

Answer:

  0.57 inches

Step-by-step explanation:

To find the quantity, multiply the rate by the time.

  (0.057 in/min) × (10 min) = 0.57 in

At the given rate, 0.57 inches fell in 10 minutes.

If mZT = (2x + 85), m ZV = (5x + 29)", and
the sum of the measures of the angles is
930, find the measure of each angle.

Answers

Answer:

Solving for x;

2x + 85 + 5x + 29 = 930

combine like terms:

7x + 114 = 930

-114          -114

7x = 816

/7      /7

x = 116.57, now we replace the x with it's actual value:

∠ZT = 2(116.57) + 85 = 318.14°

∠ZV = 5(116.57) + 29 = 611.85°, lets double check if they both equal 930;

318.14 + 611.85 = 929.99, which is close to 930 so we are correct.

find the value of x

Answers

Answer:

x = 3

Step-by-step explanation:

When chords intersect inside a circle, the product of the lengths of the two segments of one chord equals the same product of the other chord.

10x = 5 × 6

10x = 30

x = 30/10

x = 3

Question b keeps telling me I’m wrong

Answers

Answer:

negative 5

Step-by-step explanation:

what is 16 to the 16th power + 92 cubed?

Answers

Answer:

348

Step-by-step explanation:

16*16=256

256+92=348

Write an equation you can use to find the value of x.

The perimeter of square: 30 mm
Each side of the square is x mm

Answers

Answer:

56.25

Step-by-step explanation:

7.5x7.5=56.25

Find the surface area. HELP PLEASE!!!​

Answers

answer:

219

Step-by-step explanation:

(base * height) + length (4 + 5 + 6)

24 + 13 (15)

219

Please someone explain me how can I find that

Answers

Answer:

fu

Step-by-step explanation:

Can someone please explain system of equations to me?
I’m struggling

Answers

System of equations is like subtracting and substituting two or more equations! For example, if there are two equations:
2x+5y=19
-2x+3y=2
You would subtract the two equations straight across to eliminate one of the variables (either x or y). Because -2 and 2 are opposites of each other, if you add them, they equal zero, which leads to you eliminating a variable! Then, you would add 5y+3y=8y and 19+2=21 and then do 8y=21 and you get your answer for y, which in this case is 21/8.

If you want to find the x value next, you would plug in your y value into the equation and solve for x! Example:
2x+5(21/8)=19!

Write your answer as an ordered pair (x,y)

Answers

See both lines are parallel

Means

Slopes are equal .

If slopes are equal then x and y coefficients are equal.

So No solutions

A triangle has sides with lengths of 60 miles, 75 miles, and 45 miles. Is it a right triangle?

Answers

Answer:

I don't think it is

Step-by-step explanation:

tell me if I'm wrong

Answer:

yes it is a right triangle

Step-by-step explanation:

tell me if im wrong

Jack splits 28 muffins among 4 baskets. He puts the same number of muffins in each basket.

How many muffins are in each basket?

Answers

Answer:

7

Step-by-step explanation:

28/4=7

Hope this helps! :)

Have a blessed day and good luck on your assignment

Please mark me as brainliest I really want to level up

First Take 28 then divided by 4 and you get 7.
So you know that there are 7 muffins in each basket.
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