How do you multiply monomials with the same base?​

Answers

Answer 1

9514 1404 393

Answer:

  multiply their coefficients, use the base with the sum of exponents

Step-by-step explanation:

The coefficients multiply. The base gets an exponent that is the sum of the exponents of the factors.

  (a·x^b)(c·x^d) = ac·x^(b+d)

_____

If you remember that an exponent is simply an indicator of the number of times the base is a factor, this should be fairly clear. The usual associative and commutative properties of multiplication apply.

Example

  5x^2 · 7x^3= 5·x·x·7·x·x·x

  = 5·7·x·x·x·x·x

  = (5·7)(x^(2+3))

  = 35x^5


Related Questions

Find the Value of “Y”.

Answers

Answer:

26

Step-by-step explanation:

7x - 28 = 5x + 12 and 5x + 12 + y = 180

The angle (7y - 28) and angle y are supplementary angles which means their sum is 180°

7y - 28 + y = 180 add like terms

8y - 28 = 180 add 28 to both sides

8y = 208 divide both sides by 8

y = 26

Which set of ordered pairs represents a function?
{(-3,1), (8, -2), (0,0), (8,6)}
{(-1,-8),(-8, –3), (-8,-7), (4,1)}
{(-3,-8),(-3,-7), (2,-7), (6,-4)}
{(1,-1),(-3,-8), (8, -1),(0,5)}

Answers

Hope this helps ☺️!!!!!

B.

explanation:

whhdhdhdhehehgaahakkabdvdvhabs

Paula walked on the treadmill for 11 minutes. The machine told her she had a total of 671 strides. What was her rate in strides per minute?

Answers

Answer:

61 strides per minute

Step-by-step explanation:

You just divide 671 by 11

hope this helps:)

Answer:

61

Step-by-step explanation: All you have to do is divide 671 by 11

Bo, Ryan and Zachary went for a walk. They walked 1/4 miles from school to Bocas House. Then they walked 4/6 miles From Paul’s house to the park. What is the total distance with the boys walked?

Answers

Answer:

Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles

Step-by-step explanation:

Given that:

Distance walked from school to Bocas house = 1/4 miles

Distance walked from Paul's house to the park = 4/6 miles

Total distance walked = [tex]\frac{1}{4}+\frac{4}{6}[/tex]

Total distance walked = [tex]\frac{3+8}{12}[/tex]

Total distance walked = [tex]\frac{11}{12}[/tex] miles

Hence,

Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles

Which statement is true about the line whose equation is y=-2x-5?
(1) it’s slope is -2
(2)it’s parallel to the line whose equation is y=-2x+5
(3) it’s y intercept is -5
(4)it’s perpendicular to the line whose
Equation is y=1/2x-5

Answers

Answer:

2

Step-by-step explanation:

I think dont come at me if I'm wrong

Answer:

1, 3, and 4 are true

Step-by-step explanation:

1. y=mx+b, m is the slope

2.  Parallel lines have the same slope. -2 is not equal to 2

3. y=mx+b, b is the y-intercept

4. Perpendicular lines,

If you multiply the slopes and the result is -1.

-2 times 1/2

-1

What is the equation of the given circle?

Answers

Answer:

According to the above figure,

Centre:(-3,2), radius =1

[tex] {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} \\ \boxed{ {(x + 3)}^{2} + {(y - 2)}^{2} = 1}[/tex]

B. is the right answer.

8 in.
4 in.
10 in.
1
The area of the trapezoid is
square inches

Answers

Answer:

71

Step-by-step explanation:

i just want to ask a question sorry for not being helpful

On a number line, the surface of a river is marked at −220 feet and the top of a building is marked at +19 feet, where 0 represents sea level. What do −220 and +19 represent?

220 feet below sea level and 19 feet above sea level
220 feet above sea level and 19 feet below sea level
220 feet below sea level and 19 feet above 220
220 feet above sea level and 19 feet below 220

Answers

Answer:

A

Step-by-step explanation:

0 is sea lvl so just add and subsubtract

Answer:

A

Step-by-step explanation:

its A bc it said -220 witch is negative so that means ill be below sea level and +14 is a positive number so that will be above sea level.

Hope that helps!

~Emma~

HELP PLS I WILL MARK BRAINLIST IF CORRECT !!
-
1. 9 6/8 = n + 2 1/8

-
2. x — 2/9 = 6 5/9
-
3. y + 1/4 = 6 11/12
pls help me i dont understand any of this.

Answers

1. X= 61/8

2. X= 61/9

3. Y= 20/3

Sand for use on icy roads is stored in a conical pile 14.2 m high and with a base diameter of 34.4 m calculate the volume of the pile if one sander can take 6.9 m of sand, how many sanders can be filled from the pile

Answers

Answer:

1. The volume of the pile is 4,399.7719 m^3

2. The number of sanders to be filled from a pile is 638

Step-by-step explanation:

Here, we firstly would calculate the volume of the pile

Mathematically, that will be;

V = 1/3 * pi * r^2 * h

from the question, h = 14.2

Mathematically, r = d/2

r = 34.4/2 = 17.2 m

So the volume will be:

V = 1/3 * 3.142 * 17.2^2 * 14.2

V = 4,399.7719 m^3

To find the number of sanders to be filled,

we simply divide the volume obtained by the volume a sander can take

That will be;

4,399.7719/6.9

= 637.6 which is 638

The Tigers basketball team scored the following points during the regular season: 52, 75, 90, 48, 90.
What is the range of these scores?
A. 42
B. 90
C. 71
D. 75
E. 38

Answers

Answer:

D

Step-by-step explanation:

Answer: the answer should be 90 :)

1 1/2k + 1/2 (18 + 16k)
help pls

Answers

Answer:

[tex] \frac{11}{2} k + \frac{1}{2} (18 + 16k) \\ = \frac{11k + 18 + 16k}{2}=\frac{1}{2} (27k + 18) \\ = (13.5k + 9)[/tex]

20 to the power of 3 divided by 2​

Answers

Answer:

4000

Step-by-step explanation:

20 to the power of 3 is 8000 and 8000/2 is 4000

20^3 = 8000 / 2 = 4000

On a recent survey, 60% of those surveyed indicated that they preferred taking a trip to the beach over a trip to the mountains. If 810 people preferred a trip to the mountains, how many people were surveyed?

1) 486


2) 870


3) 1,350


4) 2,025

Answers

Answer:

Answer is number 3

Step-by-step explanation:

PLEASE HELP

The vertex of this parabola is at (-2, 1). Which of the following could be its
equation?

Answers

Answer:

A. [tex]x = 4\cdot (y-1)^{2}-2[/tex]

Step-by-step explanation:

From the image attached below statement we understand that a parabola with a horizontal axis of symmetry and whose vertex is centered at [tex]V(x,y) = (h,k)[/tex] is defined by the following expression:

[tex]x-h = C\cdot (y-k)^{2}[/tex] (1)

Where [tex]C[/tex] is the parabola factor, when [tex]C > 0[/tex], the parabola is oriented in the +x direction, otherwise is oriented in the -x direction. Hence, we may conclude that equation of the parabola is of the form:

[tex]x+2 = C\cdot (y-1)^{2}[/tex]

[tex]x = C\cdot (y-1)^{2}-2[/tex], where [tex]C > 0[/tex]

The correct answer is A.

Answer:

A

Step-by-step explanation:

Hopefully this helps

Hello! :)
Please help me solve this + explain your answer :)

I will indeed give you Brainlst <3

Answers

Answer:

A

Step-by-step explanation:

The two triangles are congruent because if each triangle's angles add up 180 degrees, you can deduce that the triangles have atleast two congruent angles.

Triangle RST:

48 + 73 = 121

180 - 121 = 59

Angle R = 59

Angle T = 48

Angle S = 73

59 + 48 + 73 = 180

Triangle ABC:

73 + 59 = 132

180 - 132 = 48

Angle A = 59

Angle B = 73

Angle C = 48

59 + 48 + 73 = 180

the correct answer would be A

Pls I need the answer

Answers

Answer:

13/200

Step-by-step explanation:

so we grab the fraction:

6 1/2%

make it a decimal instead of a fraction

6.5%

divide it by 100 to get

6.5/100

and multiply it by 2 because decimals have no place inside fractions lol

13/200

PLEASE HELP!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!!

Answers

Answer:

25 units should be right

Step-by-step explanation:

prove me wrong

You are flying your dragon kite.​ It's connected to 40yd of string. The kite is directly above the edge of a pond. The edge of the pond is 36yd from where the kite is tied to the ground. How high is the kite above the edge of the​ pond?

Answers

We have a right triangle with hypotenuse 38 and leg 34.

We want to find the other leg.

We use the Pythagorean Theorem:

Write the equation that describes the line with slope = 4 and y-intercept = -2 in slope-intercept form.

Answers

Answer:

2 66

Step-by-step explanation:

beacuse ima gansta and you a cracka so whats up with it

Function or not? {(2,4)(2,-6)(3,-1)}

Answers

function dujdbfhdhfh

A 15-pound bag of apples cost $6.30. At that rate, how much would a 29-pound bag of apples cost?

Answers

thats alot of apples. what does a person need with all if those apples?

Answer:

here,

15 pound bag =$6.30

or, 1 pound bag = 6.30/15

or, 1 pound bag = $0.42

or,29 pound bag = 29 X $ 0.42

or, 29 pound bag = $ 12.18

Hence, a 29 pound bag of apple cost $12.18

A florist sells 3 roses for a total of $10. Each rose costs the same amount. What is the cost of 12 roses?

A. $9.60
В. $10.40
C. $14.00
D. $15.00​

Answers

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

if 3 roses   costs              10 dollars

3x4=12 roses.................10x4=40 dollars

GUYS PLS HELP 25 POINTS + BRAINLIEST IF CORRECT ANSWER

Answers

Answer:

B) 50º

Step-by-step explanation:

first we need to find angle MPL. to do this we do 180 - 70 - 60 = 50º. angle KPN is the smae as angle MPL. so angle KPN is 50º.

Answer:

C

Step-by-step explanation:

your answer is C because when you solve the answer question you get 60 degrees .What I did to get the answer is that I solve each solution answer and that is how I got 60 degrees

Hope this helps:)

Pls mark brainlist

if g(x)= 1- 3/4x find the value of g(-12)

Answers

Answer:

17/16

Step-by-step explanation:

g(-12) = 1+3/48 = 1+1/16

The function of  g(x)= 1- 3/4x  the value of g(-12) is 1.0625.

Given:

g(x)= 1- 3/4x

g(-12) = 1-3/4x(-12)

g(-12) = 1-3/-48

g(-12) =1.0625

What is function?

The function X to Y assigns exactly one element of Y to each element of X . The set X is called the range of the function and the set Y is called the code interval of the function.

A function is an equation that has only one answer for y for each x. A function specifies exactly one output for each input of a given type. It is common to call either f(x) or g(x) instead of the y function. f(2) means that we should find the value of our function when x is 2.

To learn more about function, refer;

https://brainly.com/question/9554035

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What is the combined length of all the buttons longer than 1 inch

Answers

Answer:

Where is the problem to solve?

Step-by-step explanation:

-5/12 - (-9/3)=

Help me please

Answers

Answer:

HOW T.F DO YOU NOT

Step-by-step explanation:

-5/12+3

2 7/12

UST CAUSE

Answer: -5/4

Step-by-step explanation:

Find the slope of the line

Answers

Answer:

1/2 is the slope

Step-by-step explanation:

By using the graph provided, you can count the lines and go up 1 and over 2. Hope this helped!

5 Gross Pay is $432. Finat a the social security tax, b the medicare tax and c the
total deductions

Answers

Answer:

Hope this helps!

Step-by-step explanation:

Which expressions are equivalent to 16? Select each correct expression

1 to the 16th power
2 to the 4th power
4 to the 2nd power
8 to the 2nd power
16 to the power of 0
16 to the power of 1

Answers

Answer: Choose 2 to the 4th power, 4 to the 2nd power, and 16 to the power of 1

Step-by-step explanation:

When working with exponents, whatever number is the corner of another number, multiply it by itself. For instance, if you have 2 to the 4th power, multiply 2x2x2x2 which is 16. Also there is 4 to the 2nd power which is 4x4 which is also 16. Lastly you have 16 to the power of 1 and anything multiplied by 1 stays the same.

Correct choices are 2 to the 4th power, 4 to the 2nd power, and 16 to the power of 1.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

When working with exponents, whatever number is the corner of another number, multiply it by itself.

For instance, if you have 2 to the 4th power, multiply 2x2x2x2 which is 16. Also, there is 4 to the 2nd power which is 4x4 which is also 16. Lastly, you have 16 to the power of 1 and anything multiplied by 1 stays the same.

Therefore, the correct choices are 2 to the 4th power, 4 to the 2nd power, and 16 to the power of 1.

To know more about an expression follow

https://brainly.com/question/723406

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