what are the steps for multiplying monomial algebraic terms where they have exponents with like bases

Answers

Answer 1

Answer:

See below.

Step-by-step explanation:

Rule:

[tex] a^m \times a^n = a^{m + n} [/tex]

Explanation:

When multiplying monomials with the same base, write the same base and add the exponents.


Related Questions

Solve for x
4r – 9 – 6x = 21

Answers

Answer:

X= 30-4r/-6

Step-by-step explanation:

1. Move the 9 to the other side. (21+9=30)

2. subtract the 4r and move it to the other side (-6x=21-4r)

3. divide both sides by -6

58 POINTS!!! The line contains the point (8,2) and is parallel to a line with a slope of -2/3 The equation of the line is

Answers

Answer:

The answer is

[tex]y = - \frac{2}{3} x + \frac{22}{3} [/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

Since the lines are parallel their slope are also the same

So the slope of parallel line = - 2/3

So the equation of the line containing the point (8 , 2) and slope - 2/3 is

[tex]y - 2 = - \frac{2}{3} (x - 8) \\ y - 2 = - \frac{ 2}{3} x + \frac{16}{3} \\ y = - \frac{2}{3} x + \frac{16}{3} + 2[/tex]

We have the final answer as

[tex]y = - \frac{2}{3} x + \frac{22}{3} [/tex]

Hope this helps you

Slope intercept form: y = mx + b

Parallel lines have the same slope, so the slope is -2/3.

We can solve using point slope form.

y - 2 = -2/3(x - 8)

y - 2 = -2/3x + 16/3

y = -2/3x + 22/3

Best of Luck!

m3 = 64
What’s the value of m

Answers

Answer:

m =64/3

Step-by-step explanation:

m=21 1/3 m=21.3

1/16,16/100,1/6,1/3 which is equivalent to this decimal 0.16 (6 repeating)?

Answers

Answer:

1/6

Step-by-step explanation:

The table shows the values of two quantities for an astronaut on Earth and Earth's moon. Which of the following names the quantity and correctly explains why that represents the astronaut's mass? Quantity A, because it remains the same throughout Quantity B, because it is independent of other quantities Quantity B, because it changes with gravitational strength Quantity A, because it measures the force acting on the astronaut

Answers

Answer:

A.

Step-by-step explanation:

the answer is A. because in space, the whole thing is the same amount of density. except for the sun but the question says earth and moon. hop this helps!!! please give me brainliest answer!!!

Quantity A because it changes with gravitational pull.

Given that, the Astronaut's mass of quantity A on earth is 70 units and on the moon is 70 units.

The Astronaut's mass of quantity B on earth is 686 units and on the moon is 112 units.

What happens to an astronaut's mass in space?

We can measure weight here on Earth, but not in the microgravity environment on the International Space Station. Mass plays a critical role in the activities and experiments performed by the astronauts. Mass does not change whether it is measured on Earth or the ISS.

Now, mass defines the constitutive matter of an object. It is immutable (does not change). Although it could be converted into energy, the matter is constant.

On the other hand, the weight of an object (gravitational force) depends on the acceleration due to gravity.

That is why an astronaut weighs about three times more on earth than on Mars. The gravitational acceleration on Mars is about one-third that on earth.

Therefore, Quantity A because it changes with gravitational pull.

To learn more about the Astronaut's mass visit:

https://brainly.com/question/4783520.

#SPJ2

V64

(16
4
V20
5
Which of the following is an irrational number

Answers

Answer: V20

Step-by-step explanation:

Let's go down the list, shall we?

First, V64. I am going to assume that the V is a square root. If you take the square root of 64 you would get 8, which is not an irrational number.

2/2 would be one of the easiest, its just 1 if you simplify it

(16 would be a rational number, even if you took the square root.

4 is four, a rational number

V20 is an Irrational number, again, assuming that the V is a square root symbol, and you took the square root of it, you would get 4.472135955... an infinite number without a pattern

And 5 is just five, a whole number

Question Given the following functions f(x) and g(x), find (f ° g)(x).

f(x)=-x^2-x+7
g(x)=5x+4​

Answers

Answer:

Step-by-step explanation:

g(x) = 5x + 4

f(5x + 4) = (5x + 4)^2 - (5x + 4) + 7

25x^2 + 40x + 16 - 5x - 4 + 7

25x^2 + 35x + 19

Aaron is 53 ž inches tall. His friend Xaviar was 48.75 inches tall, but grew 2 inches over
the summer. How much taller is Aaron than Xaviar?

Answers

Answer:

2..25

Step-by-step explanation:

There are five consecutive odd integers. The sum of the three smallest is 3 more than the sum of the two largest. Find the integers. 15 points

Answers

Answer:

11 13 15 17 19

Step-by-step explanation:

We will solve this word problem using 2k+1 which is one of the general forms of an odd integer.

Let 2k+1 be the first odd integer.

(2k+1) + (2k+3) + (2k +5) =  (2k+7) + (2k +9) + 3 (the +3 is to accommodate for the left side being 3 more than the right)

Solve for k

6k + 9 = 4k + 19

6k - 4k + 9 = 4k-4k + 19

2k + 9 = 19

2k + 9 - 9 = 19 - 9

2k = 10

2k/2 = 10/2

k = 5

To get the first digit in the series plug in 5 for k

2k+1

2(5) + 1

10 + 1 = 11

So our series is 11, 13, 15, 17, 19

Let's test it.

11 + 13 +15 = 39

17 + 19 = 36

So we are correct, the first 3 integers are 3 more that the sum of the last 2.

Answer:

11, 13, 15, 17, 19

Step-by-step explanation:

I am doing this in my RSM homework, just saying this is correct. I guessed and checked to do this.

what is 7 × 5 + (3 × 5)

Answers

7 x 5 + (3 x 5)      First do the parenthesis

7 x 5 + 15             Next do multiplication (left to right)

35 + 15              Last add the two remaining numbers

50

Answer : 50

If the measure of angle ABD is 100, what is the measure of angle ABC

Answers

i dont know. Im sorry about that.

what are all the names that apply to 1/8 Irrational,Integer,Whole,Real, Or irrational

Answers

Answer:

Rational NumberReal numbers

Step-by-step explanation:

Solve the equation for a 62=a(25-0)(25-50)

Answers

...............................

Write an absolute value equation that has the solutions $x=8$ and $x=18$

Answers

Answer:

Step-by-step explanation:

Let |x-a|=b

then x-a=±b

so x-a=b

or x=a+b

so a+b=18   ...(1)

and x-a=-b

or x=a-b

or a-b=8   ...(2)

adding (1) and (2)

2a=26

a=26/2=13

subtract (2) from (1)

2b=10

b=10/2=5

|x-13|=5

A candidate scored 32 marks out of 80.find his percentage score​

Answers

Answer:

40%

Step-by-step explanation:

Take the amount over the total

32/80

.4

Change to percent form by multiplying by 100

40 %

A function is described by the following ordered pairs: (7, 4.5) (–4, 7.2) (–7.2, –4) (5.2, 3) Which set of ordered pairs represents the inverse of the function? (7, –4), (–7.2, –4), (3, 5.2), (4.5, –4) (7, –4), (–7.2, 5.2), (4.5, 7.2), (–4, 3) (4.5, 7), (7.2, –4), (–4, –7.2), (3, 5.2) (7, 4.5), (–4, 7.2), (–7.2, –4), (5.2, 3

Answers

Answer: the third answer

Step-by-step explanation:

did it online right now

Answer:

It is C.

Step-by-step explanation:

I got it correct on Edg.

Which of the following numbers can be expressed as repeating decimals? 4 over 7, 2 over 5, 7 over 8, 4 over 9

Answers

Answer:

4 over 9

Step-by-step explanation:

4 over 7 = 0.571428571

2 over 5 = 0.4

7 over 8 = 0.875

4 over 9 = 0.444444444444444

Answer:

4/7 and 4/9

Step-by-step explanation:

How do u say 0.99999999 in words

Answers

Answer:

Zero Point Nine Nine repeating?

Step-by-step explanation:

Given:
p: Two linear functions have different coefficients of x.
q: The graphs of two functions intersect at exactly one point.
Which statement is logically equivalent to q-p?
If two linear functions have different coefficients of x, then the graphs of the two functions intersect at exactly one
point.
O If two linear functions have the same coefficients of x, then the graphs of the two linear functions do not intersect
at exactly one point.
If the graphs of two functions do not intersect at exactly one point, then the two linear functions have the same
coefficients of x.
O If the graphs of two functions intersect at exactly one point, then the two linear functions have the same
coefficients of x.

Answers

Answer:

Linear function A and linear function B both have the same input values as shown below. Why will the output values for linear function A always be different than the corresponding output values for linear function B? The initial values of the two functions are different, and the rates of change of the two functions are also different. The initial values of the two functions are different, and the rates of change of the two functions are the same. The initial values of the two functions are the same, and the rates of change of the two functions are different. The initial values of the two functions are the same, and the rates of change of the two functions are also the same.

I need help PLEASE help mel

Answers

Answer:

A) The first checkbox

B) The first and third checkbox

Step-by-step explanation:

A) [tex]\frac{-5}{-4}[/tex] ⇒ the negative would cancel/cross out and leave you with [tex]\frac{5}{4}[/tex]

B) Look for one negative sign in either the numerator or denominator.

Which refers to the rate of change in velocity?

Answers

Answer:

acceleration refers to the rate of change in velocity

Acceleration is defined as the rate of change of velocity. Velocity is a vector, which means it contains a magnitude (a numerical value) and a direction. So the velocity can be changed either by changing the speed or by changing the direction of motion (or both).

(5x third power) (4x third power)

Answers

Answer:

Step-by-step explanation:

(5x³)(4x³) = 20x^6

I need help to find the slope between these two points

Answers

Answer:    

11/2

Step-by-step explanation:

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1}}[/tex]

1. Write the fraction 8/10 in simplest form.

A. 16/20
B. 2/5
C. 4/5
D. 2/10

Answers

Answer:

Step-by-step explanation:

C.

Answer:

C 4/5

Step-by-step explanation:

Divide the numerator and denominator by 2

8/2=4

10/2=5

4/5

Hope this helps :-)

Mrs. Santiago wants to buy a new dining room table. She is trying to decide between a large table that costs $548.00 and a smaller table that costs $135.00. How much money will Mrs. Santiago save if she buys the smaller table?

Answers

Answer:

$413

Step-by-step explanation:

 548

- 135

413

Answer:

413.00

Step-by-step explanation:

Subtract.

548.00 minus 135.00 is 413.00.

That is the answer.

Solve for h : -37+h=-2

Answers

Answer:

h = 35

Step-by-step explanation:

Step 1: Write out equation

-37 + h = -2

Step 2: Add 37 to both sides

-37 + 37 + h = -2 + 37

h = 35

h = 35
The answer is

Name the position held by the digit 5 in each numeral.
a. 952
b. 5,432
c. 115
d. 50,768
e. 113,598
f. 5,027,649​

Answers

Answer:

a. 952= 50 or tens

b. 5,432= 5000 or thousands

c. 115= 5 or ones

d. 59,768= 50000 or tens of thousands

e. 1113,598= 500 or hundreds

f.5,027,649= 5000000 or million

Write an equation in slope-intercept form for the line that passes through the point ( 2 , 3 ) and is perpendicular to the line − 5 x + 4 y = − 3 .

Answers

The slope of a line in standard equation will be [tex]\frac{-A}{B}[/tex]

[tex]m=\frac{5}{4}[/tex]

The slope of a perpendicular line to this line will be opposite and reciprocal.

[tex]m=-\frac{4}{5}[/tex]

Then, we can plug in the point given to get the [tex]b[/tex] value.

[tex]3=-\frac{4}{5}(2)+b[/tex]

[tex]3=-\frac{8}{5}+b[/tex]

[tex]b=\frac{23}{5}[/tex]

[tex]y=-\frac{4}{5}x+\frac{23}{5}[/tex]

Hope this helps.

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For Elizabeth's lemonade recipe, 4 lemons are required to make 2 cups of lemonade. At what rate are lemons being used in cups of lemonade per lemon?

Answers

Answer:

2 lemons per cup

Step-by-step explanation:

4/2 is two.

Answer:

2 lemons per cup

Step-by-step explanation:

if a dog food costs 0.75 per pound, and dog bones cost 1.75 each, what is the cost of 2 bones and 25 pounds of dog food?

Answers

Answer:

2 bones and 25 pounds of dog food would cost $22.25

Step-by-step explanation:

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