Mathematics High School

simply the following expression

Answers

Answer 1

Answer:

[tex] \dfrac{4r^6}{st^8} [/tex]

Step-by-step explanation:

[tex] (4r^{-2}st^4)(r^{-4}st^6)^{-2} = [/tex]

Use laws of exponents to simplify the right set of parentheses.

[tex]= (4r^{-2}st^4)(r^{8}s^{-2}t^{-12})[/tex]

Now use the law of exponents for a product of powers with the same base.

[tex] = 4r^6s^{-1}t^{-8} [/tex]

Finally, use the definition of a negative exponent.

[tex] = \dfrac{4r^6}{st^8} [/tex]

Related Questions

PLEASE HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS.
Is 5x² + 3x - 3 a monomial, binomial or trinomial?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The number of terms in the given expression is 3, so it is a Trinomial

5x^2 + 3x - 3 is a trinomial.

A monomial is an expression that has one term, such as 3x.

A binomial is an expression that has two terms, such as 4x^2 + 6x or 4x - 6.

A trinomial is an expression that has three terms, such as x^2 + 5x + 6.

Hope this helps!! :)

Increase a price of £30 by 10%

Answers

Answer:

£33

Step-by-step explanation:

A 10% increase is the same as multiplying a value by 1.1.

30 * 1.1 = 33

Answer:

10 x 30 /100 = 3 so 30 +3 = 33

what's rational numbers

Answers

Rational number are like pi=3.14 or 2.3738373737 ya know those kind of numbers

Simplify.
8V200 – 37162

Answers

Answer:

[tex]53 \sqrt{2} [/tex]

Step-by-step explanation:

[tex]8 \sqrt{200} - 3 \sqrt{162} [/tex]

[tex] = 80 \sqrt{2} - 27 \sqrt{2} [/tex]

[tex] = (80 - 27) \sqrt{2} [/tex]

[tex] = 53 \sqrt{2} [/tex]

Brainliet ko maka sagot

Answers

Answer:

first multiply 3 with −8 and we get − 24

then find two numbers that if we add or subtract we get + 10 and if we multiply we get − 24

and the numbers are + 12 and −2

then we place those numbers as follow :-

3x²+12x−2x−8

then we group them

(3x2+12x)(−2x−8)

now take the common factor out.

3x(x+4)−2(x+4)

then group the numbers outside of the brackets

(3x−2)(x+4)

And that is the answer:

Proper Solution:-

1.) 3x2+10x−8

2.) 3x2+12x−2x−8

3.) (3x2+12x)(−2x−8)

4.) 3x(x+4)−2(x+4)

5.) (3x−2)(x+4)

Which expression is equivalent to 8(4p+1)+6?

Answers

Answer:

32p + 14

Step-by-step explanation:

Expression :-

8(4p +1) + 6 .

Simplify ,

32p + 8 + 6 32p + 14

if you take 3 apples from 10 apples how many do you have

Answers

Answer:

Step-by-step explanation:

Answer:

You will have exact seven.

Find 39.2% of 448.Round to the nearest hundredth.

Answers

Answer:

175.62

Step-by-step explanation:

39.2•448=17561.6

17561.6/100=175.616

=175.62

if the slope of a line 4/9 the slope of a line parallel to this would be

Answers

Answer:

4/9

Step-by-step explanation:

Parallel lines have the same slope.

If the slope of one line is 4/9, the slope of a parallel line is 4/9.

Solve pls
6(n-4)=3n

Answers

8 is the correct answer

what is 4 1/3-(-2/3)

Answers

Answer is 5
13/3 -(-2/3)
13/3+2/3
15/3
5

Plz plz help fast
I will mark Brainlyist

Answers

Answer:

forgive me i need points

Step-by-step explanation:

Which number is irrational?
Ο Α. π
Ο Β. 0.333...
Ο C. 0.7
Ο D. 0.277277277...

Answers

Answer:

A.π is the correct answer

please help me..
here is a part of a proof that chen wrote. what is his error?
(refer to the picture)

Answers

Answer:

<A is not congruent to angles B or C

Step-by-step explanation:

AB ~AC Given

<B ~ <C isosceles Triangle Theorem

The length of the side AB and AC will be congruent with each other. Then the triangle ΔABC will be an isosceles triangle.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The two triangular legs and their opposing angles are congruent in an isosceles triangle.

In triangle ΔABC, then the length of the side AB and AC will be congruent to each other.

AB = AC

Then the triangle ΔABC will be an isosceles triangle.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

simplify -3√3(2+√6)
please include steps

Answers

Answer:

-6√3 - 9√2

Step-by-step explanation:

So you distribute like normal:

-3√3 times 2 is -6√3

-3√3 times √6 is -3√18

You can simplify -3√18 into -9√2

(because 9 can be squared into 3 and you can multiply the 3 with the current 3 into 9)

(Also you have to divide 9 out of 18 since you are simplifying)

So the answer will be -6√3-9√2

Hope this helps!

I need to know if it’s a function and explain how it is. please help!

Answers

Answer:

Yes, because it passes the vertical line test. If we were to draw a vertical line anywhere on the graph, it would only go through one point, so the relation is a function.

Step-by-step explanation:

1. This graph is a function because it passes the vertical line test. The vertical line test is a simple method that is used to determine if a relation is a function or not. A function can one output (y) for every unique input (x). If we were to draw a vertical line anywhere on the graph, and it would only go through one point, then the relation is a function. If it went through multiple points in some areas, it's not a function.

2. Since we can draw a vertical line anywhere and have it pass through one point, this relation is a function.

10.
Find the measure of angle 1.
8x - 4
16x + 8

Answers

the answer is C: 44 degrees

Answer:

53°

Step-by-step explanation:

As we can see that ∠3 and ∠7 are corresponding angles. Therefore,

∠3 = ∠76x+8 = 8x-76x-8x = -7-8-2x = -15x = -15/-2x = 15/2

Now calculate the angles of ∠3 and ∠7.

∠36x+86×15/2+845+853°

∠78x-78×15/2-760-753°

Now we can see that ∠3 and ∠1 are alternate angles and ∠7 and ∠1 are alternate exterior angles. Thus, we can say that

∠3 = ∠7 = ∠1 = 53°

Hence the measure of ∠1 is 53°.

♦♦♦♦♦Hope it helps♦♦♦♦♦

3 m
6 m
6 m
10 m
Perimeter:
Area:

Answers

Answer:

perimeter-3+6+3+10+6+4=32m

area- 10×6=60m²

5-7/8 reduced to its lowest from

Answers

Answer:

4 1/8

Step-by-step explanation:

subtracting a whole number with a fraction just means I have to change one of the numbers so they match with the other.

meaning I should change the whole number 5 to a fraction.

I will use the bottom number to figure out what the fraction in the whole number should look like.

5 = 5/1

I want the bottom number to be 8 like the other fraction 7/8

I multiply the top and bottom number of 5/1 by 8, giving me

40/8

now I subtract 40/8-7/8 = 33/8 or 4 and 1/8

In 2010, an estimated 1.664 x 10^8 dollars in 1000 bills were in circulation. How many 1000-dollar bills were in circulation?

I'LL GIVE BRAINLIST OR WHATEVER IT'S CALLED JUST HELP ME AND STOP DELETING UR COMMENTS :/ thank u :)

Answers

Answer: 166,400,000 1000 bills

$166,400,000,000

Answer:

166,400,000

sry for answering late!

A car travels 22 km due south and then 28 km in a direction 60° east of south. Find the Direction of the car's resultant vector. PLEASE HELP

Answers

A car travels 22 km due south and then 28 km in a direction 60° east of south. Find the Direction of the car's resultant Remember that any can be written as a coordinate like this: (AcosΘ,AsinΘ) where A is the magnitude of the object and Θ is the directional angle. So for the car travelling 20km north, that vector can be written as: (20cos90°, 20sin90°) Then when the car drives northwest at 60 degrees, that vector can be written as: (35cos150°, 35sin150°) (do you see why I it's 150°?) Then, simply calculate each of these coordinates, add them up, and then that resulting coordinate is the coordinate of the resulting displacement vector. (20cos90°, 20sin90°) = (0, 20) (35cos150°, 35sin150°) = (-30.31, 17.50) Displacement vector (x, y) = (-30.31, 37.50) With this, we can calculate the magnitude which is \displaystyle \sqrt{x^2+y^2} x 2 +y 2 . Thus: Magnitude = \displaystyle \sqrt{(-30.31)^2+(37.50)^2}=48.2km (−30.31) 2 +(37.50) 2 =48.2km The resulting directional angle is then \displaystyle \tan^{-1}(\frac{y}{x})+\pitan −1 ( x y )+π. Adding \displaystyle \piπ is only necessary when x < 0 in order to put us in the proper quadrant. Thus: Direction = \displaystyle \tan^{-1}(\frac{37.50}{-30.31})+\pi=2.25\ radians=128.9°tan −1 ( −30.31 37.50 )+π=2.25 radians=128.9° ges ok HOPE THIS HELPS :):0

Quis
bentuk pangkat dari
2² + 3² - 2²=
note:. user Indonesia

Answers

Answer:

9 Should be your answer

Step-by-step explanation:

[tex]2^{2}[/tex] = 4

[tex]3^{2}[/tex] = 9

These will help us as we solve this problem.

Then: 2² + 3² - 2²

= 4 + 9 - 4

= 9

Kind requests:

Please give brainliest :D

Fill in the blank: 4(3x + ?) = 12x + 16
A) 4, B) 16, C) 12, D) 4x

Answers

Answer:

A) 4

Step-by-step explanation:

4(3x + ?) = 12x + 16

12x + ? = 12x + 16

What times 4 is 16?

So our answer is A) 4

Evaluate 12x−3y when x=−14 and y=3

Answers

12x - 3y

12(-14) - 3(3)

-168 + 9

-159

Hope this helps!! :)

Answer:

-177

Step-by-step explanation:

12(-14)-3(3)

-168-9

-177

Mental Math Using the slope formula, find the slope of the line through the points and . Use pencil and paper. Explain how you can use mental math to find the slope of the line. slope is 0,0 and 2,4

Answers

Answer:Slope is 2, assuming "0,0 and 2,4" is meant to read (0,0) and (2,4) for the 2 points.

Step-by-step explanation:

The slope is the Rise (change in y) over the Run (change in x). I can see the change in y is 4 (it goes from 0 to 4) and the change in x for this interval is 2 (goes from 0 to 2, or 2-0 = 2). Rise (4) over Run (2) is slope 2. 4/2 = 2 slope.

Please help me!!!!! THIS IS LATE NEED HELP!!!! Just a head's up the graph x and y axis goes by 2 not 1.
Find two points from this graph and then determine the slope.

Answers

First point (4,2) , (6,5)
slop = y2-y1/x2-x1
=5-2/6-4
Slop= 3/2

60 (x + 20) 3x what is the value of x?

Answers

Answer:

Step-by-step explanation:

Step 1: Equation at the end of step 1

Simplifying

60(x + 20) = 3x

Reorder the terms:

60(20 + x) = 3x

(20 * 60 + x * 60) = 3x

(1200 + 60x) = 3x

Solving

1200 + 60x = 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

1200 + 60x + -3x = 3x + -3x

Combine like terms: 60x + -3x = 57x

1200 + 57x = 3x + -3x

Combine like terms: 3x + -3x = 0

1200 + 57x = 0

Add '-1200' to each side of the equation.

1200 + -1200 + 57x = 0 + -1200

Combine like terms: 1200 + -1200 = 0

0 + 57x = 0 + -1200

57x = 0 + -1200

Combine like terms: 0 + -1200 = -1200

57x = -1200

Divide each side by '57'.

x = -21.05263158

Simplifying

x = -21.05263158

You are skateboarding at a pace of 30 meters every 5 seconds. You friend is in-line skating at a pace of 9 meters every 2 seconds. Graph each ratio relationship in the coordinate plane.

Answers

We want to find and graph the motion equations by finding the ratios.

The graph can be seen at the end of the answer.

We define the rate of change as the rate at which one variable changes with respect to other.

Here, we know that you move 30 meters every 5 seconds, then your rate of change in position is:

r = 30m/5s = 6 m/s

Note that this is a speed.

For your friend, we know that he/she moves 9 meters in 2 seconds, so his/her rate is:

r' = 9m/2s = 4.5 m/s.

Now we need to graph these in a coordinate plane, but these are just numbers, I assume that you want the motion equation graphed.

The motion equations are just given by the rate we just fond times the variable, in this case, the variable is the time in seconds.

Your equation is:

p(t) = (6 m/s)*t

Your friend equation is:

p'(t) = (4.5 m/s)*t

The graphs can be seen below, the green one is the first function, and the blue one is the second.

If you want to learn more, you can read:

write an equation of the line that passes through the point P(2, 5 ) that is parallel to y=4x+1

Answers

The answer is y=4x-3.

158 divided by 37 I don’t get it what is the answer

Answers

Answer:

4.2702702703

4 Remainder 10

Step-by-step explanation:

158 divided by 37 = 4.270

The result of 158/37 is a non-terminating, repeating decimal.

The repeating pattern above, 270, is called repetend, and denoted overlined with a vinculum.

This notation in parentheses is also common: 158/37 = 4.(270): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 158 / 37 = 4.270… .

158 divided by 37 in decimal = 4.270

158 divided by 37 in fraction = 158/37

158 divided by 37 in percentage = 427.02702703%

Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 158 and 37, of course.

Repetends, if any, are denoted in ().

The conversion is done automatically once the nominator, e.g. 158, and the denominator, e.g. 37, have been inserted.

Answer:

4.2703

Step-by-step explanation:

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