Consider the expression shown.


(x^-3 y^5 z^-4) • (x^6 y^-7 z^-2)


Part A. The value of the exponent of x in the simplified expression will be


1. -18


2. -9


3. 3


Part B. The value of the exponent of y in the simplified expression will be


1. -35


2. -12


3. -2


Part C. The value of the exponent of z in the simplified expression will be


1. -6


2. -2


3. 8

Answers

Answer 1

Answer:

3, 3 and 1

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

Given

([tex]x^{-3}[/tex] [tex]y^{5}[/tex] [tex]z^{-4}[/tex] × [tex]x^{6}[/tex] [tex]y^{-7}[/tex] [tex]z^{-2}[/tex]

A

[tex]x^{-3}[/tex] × [tex]x^{6}[/tex] = [tex]x^{(-3+6)}[/tex] = x³ → with exponent 3

B

[tex]y^{5}[/tex] × [tex]y^{-7}[/tex] = [tex]y^{(5-7)}[/tex] = [tex]y^{-2}[/tex] → with exponent - 2

C

[tex]z^{-4}[/tex] × [tex]z^{-2}[/tex] = [tex]z^{(-4-2)}[/tex] = [tex]z^{-6}[/tex] → with exponent - 6


Related Questions

In chemistry class, Bob recorded the volume of a liquid as 17.7 mL. The actual volume was 17.1 mL. Use the formula to find percent error of Bob's measurement to the nearest tenth of a percent.

Percent Error =
|Experimental Value − Actual Value|
Actual Value
× 100

Answers

Hit how are you doing sir?

X 2.2.PS-15
Challenge The price of Stock A at 9 A.m. was $12.96. Since then, the price has been increasing at the
rate of $0.11 each hour. At noon the price of Stock B was $13.46. It begins to decrease at the rate of
$0.12 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the
same?
In how many hours will the prices of birch stocks be the same?

Answers

Answer:

$6.36 would be your answer ̄へ ̄

Answer: 0.56 round to the nearest tenths which is 6. So, it’s $6

Step-by-step explanation:

simplify this expression: 54 + 31 + 7n by the power of 2 - n by the power of 2

Answers

Answer:

6n²  +85

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "n2"   was replaced by   "n^2".  1 more similar replacement(s).

(85 +  7n²) -  n²

Helllppppppp 25 pointsssss$

Answers

Answer:

192x^3y^9

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

What is the binary number for 22​

Answers

Answer:

I believe it is 10110

Step-by-step explanation:

hope this helps

Solve for x 12 + x = 27

Answers

Answer:

15

Step-by-step explanation:

subtract 12 on both sides and you get

x=27-12

x=15

Answer:

I think your answer is 15

Step-by-step explanation:

Hope this helped  you

Please answer correctly !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

X+123°=180°(BEING DUM OF CO INTEROIOR ANGLES IS EQUAL TO 180°)

X=180°-123°

X=57°

Hi!

x = 57 degrees.

Explanation:

There is a straight line, so that must mean there is a linear pair. We know the first part of that pair is 123 degrees. The linear pair adds up to 180 degrees. Subtract 123 from 180 to get 57.

That angle and x are alternate interior angles, so they are equivalent.

someone help I’ll give Brainlist

Answers

Answer:

-8/9z - 3

Step-by-step explanation:

Answer:

(-8/9)z-3=(blank)

Step-by-step explanation:

((5/9)-(6/9)-(7/9))z+3-6= (-8/9)z-3

you get -8/9 by taking 5 and subtracting the 6 and 7 from it since they have the same denominators

What's 7.778 to the nearest hundred

Answers

Answer:

7.78

Step-by-step explanation:

Answer:

The answer is 7.78

Step-by-step explanation:

I had this on a test and got it correct

MARK THE BRAINLIEST PLEASEEE

I need help on photo above please!!!

Answers

Option two is the correct answer
Hope this helps :)

-6 < -2h + 14 solve for h

Answers

Answer:

10 is more than h

Step-by-step explanation:

sub 14 add  to 6 divid by two switch signs and poof

Answer:

10>h  

Step-by-step explanation:

-6< -2h+14

-6-14<-2h

-20<-2h

 -2 <-2           when you divide by a negative number you must reverse the

10>h                inequality sign

Daniel has $125 in his bank account. He saves $40 each week from his allowance. He needs a total of $600 in order to buy a PS5. Complete the equation, and determine how many weeks it will take him to save up enough money.

Answers

[tex] \LARGE{ \underline{\underline{ \tt{Required \: answer:}}}}[/tex]

We have,

Initial amount = $125 (Constant)Per week savings = $40Amount to be collected for buying a PS5 = $600

What to do?

We need to frame an equation with variable determining the no. of weeks it will take him to save up the money.

Here's how to do?

Let the no. of weeks be x. Then,

Amount collected by savings = $40x

So, The equation will be:

➝ 125 + 40x = 600

Note:

Don't forget to add the unit i.e. dollars '$' here.

Question 2 (Multiple Choice Worth 4 points)
In which expression should the exponents be multiplied?
6
0 0
o
99
94
073.78
O (26)-5

Answers

Answer:

No pic or question.

Step-by-step explanation:

Which of the following relations has a domain of {-4, -2, 1}?

Group of answer choices

{(1, 2), (-2, 3), (4, 6)}

{(1, 2), (-2, 2), (-2, 4), (-4, 4)}

None of the other answers are correct

{(-1, 2), (4, 3), (-2, 6), (-2, 3)}

{(1, 2), (-2, 2), (-2, 4), (4, -4)}



Answers

Answer:

{(1, 2), (-2, 2), (-2, 4), (-4, 4)}

Step-by-step explanation:

Plz mark as Brainliest!

When the arrow is spun, there are four possible numbers the arrow can land on: 1, 2, 3, and 4. The spinners are each spun once. What is the probabilty of an even number on the first spinner and a 3 on the second spinner?

Answers

Answer:

The probability is 1/8

Step-by-step explanation:

There are two spinners here, total result on each of the two is 4

Probability of even number of the first

The even numbers are 2 and 4

Probability of an even number is 2/4 = 1/2

For the second spinner

Probability of having a 3 on the second spinner is 1/4

So the probability of an even number on the first and a 3 on the second spinner will be;

1/2 * 1/4 = 1/8

can someone help meWhat is the missing numerator?

blank over seven plus thirteen over fourteen equals one and three fourteenths (20 points)

a
11

b
8

c
5

d
2

Answers

Answer:

d 2

Step-by-step explanation:

x/7 +13/14 = 17/14

double the first one so all the denominators are the same

2x/14+13/14=17/14

then subtract the second fraction from the thrid

2x/14=4/14

then we can divide by two so we are back to 7 as the demoninator

x/7=2/7

X/7 + 13/14 = 1(3/14)

Convert the mix fraction into improper fraction:
(14 x 1) + 3 = 17 /14

X has to equal the difference between 13 and 17 which is 4

Remember since the lowest common denominator is 14 you would have to multiply x/7 by 2 on top and bottom and make sure that the x value is equal to 4

So ...

(2/7) + (13/14)

(4/14) + (13/14)

Add the number and keep the denominator the same

= 17/14 or 1(3/14)

Therefore the missing number is 2.

I hope this doesn’t sound too confusing :)

Find the slope and y-intercept for the table.



slope:

y-intercept:

Answers

Answer: 5 y=5

x=3

Step-by-step explanation:

Rachel has $1,800 to spend on renting a venue for a party. The available locations to rent for the party cost between $660 and $2,500. This cost includes a base cost, plus a set-up fee that is one-fifteenth of the base cost. The total cost can be modeled by the function shown below, where c represents the base cost of renting a venue.

f(c)=c+1/5c
State the domain of values that represents the base cost for the venues Rachel can afford.

Answers

Answer:

618.75 to 1687.50

Step-by-step explanation:

my best friend doesn't know the answer i aaint answering it for him help him help this dumbo

Answers

Answer:

5 batches

Step-by-step explanation:

Answer PLEASE ASAP
question on the image.

Answers

Answer:

The answer is DF

Step-by-step explanation:

The opposite side is 4 or EF, so the ADJACENT side would be 3 or DF according to SOH CAH TOA.

I will try to give the first one Brainlyest plz answer

Answers

I think B because in that equation u subtract the two and for that situation u also subtract the too and I feel like that is the most correct one

Answer:

B

Step-by-step explanation:

Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

a. y=

b. y=
I really need this pls

Answers

Answer:

Step-by-step explanation:

ummm so it doesnt have a y axis...

i think it should be

y=4x which is the parallel

and y= -1/4x which is perpendicular, it doesnt really pass through (4,3) so ot sure what ur teacher wants really

What is the cost of making one burrito? (Remember that costs are negative.) Explain how you found your answer.

Answers

Answer:

it cost 5.99

Step-by-step explanation:

it all depends on the type of burrito

Find the 13th term of the geometric sequence 7, 21, 63, ...

Answers

Answer:3,720,087

Step-by-step explanation: sorry if I’m wrong

Which expression represents the factored form of 6x2-13-5 ?

Answers

Answer:

For the quadratic trinomial  the following formula

, where  are trinomial roots, holds.

1. For trinomial  find the roots

2. The factoring form is

Answer: correct option is B.

Step-by-step explanation:

Answer:

(2x - 5)(3x + 1)

Step-by-step explanation:

Do you mean 6x^2 - 13x - 5?

6x^2 factors into 6x, x or 3x, 2x

-5 factors into -1, 5 or -5, 1

Use combinations of the factors until you get the correct trinomial.

6x^2 - 13x - 5 = (2x - 5)(3x + 1)

Mr. Randall, a salesperson, earns a weekly salary of $300 plus a commission of 7% of
his weekly sales of merchandise. Last week, Mr. Randall earned $426. This can be
represented by the equation below, where s represents his total sales, in dollars, for
the week.
$300 + $0.07s = $426
How many dollars worth of merchandise did Mr. Randall sell last week?

Answers

Answer:

-3

Step-by-step explanation:

Based on his weekly salary and commission, we can calculate that Mr. Randall sold goods worth $1,800.

In the formula given, sales is represented as s. To find the total sales, you can solve the equation:

300 + 0.07s = 426

0.07s = 426 - 300

s = 126 / 0.07

= $1,800

In conclusion, Mr. Randall sold $1,800 worth of goods.

Find out more at https://brainly.com/question/19297414.

A certain stock has grown continuously from 1980 to 2015. A $10,000 investment in the stock in 1980 would be worth $3,500,000 in 2015. Find the stock's average annual growth rate during this period. Round to the nearest percent.

Answers

If a certain stock has grown continuously from 1980 to 2015, for this period of time  its average annual growth rate   is 18%.

It is given that A certain stock has grown continuously from 1980 to 2015.

Stock's initial value in 1980 (I) = $10,000

Stock's final value in  2015 (F) = $3,500,000

time period t = 2015-1980 = 35 years.

Since, the stock has grown continuously,  it should have grown compounded annually.

Stock's average annual growth rate (r) is calculated as:

[tex]\text{r} = {(\dfrac{F}{I})^{\frac{1}{t}}-1[/tex]

Substitute all the given values in the above formula:

[tex]\text{r} ={ (\dfrac{3500000}{10000})^{\frac{1}{35}}-1[/tex]

[tex]\text{r} = {(350})^{\frac{1}{35}}-1[/tex]

[tex]r = (350)^{0.02857142857}-1[/tex]

[tex]r=1.18219102629-1[/tex]

[tex]r=0.18219102629[/tex]

[tex]r=0.18[/tex]

[tex]r\approx 18\%[/tex]

Hence, stock's average annual growth rate during the period of 35 years is 18%.

Learn more about growth rate here:

https://brainly.com/question/12609944

#SPJ12

GUYS HELP ME WITH THIS!!! 13 POINTS AND BRAINLY!! MAKE SURE TO DO STEP BY STEP!!! PLEASEE AND THANK U!!!

Answers

Answer: It will take three weeks for them both to have the same amount of money saved.

Step-by-step explanation:

35 + 15x = 5 + 25x

30 + 15x = 25x

30 = 10x

3 = x

Helps me solve this problem please

Answers

Answer:

0

Step-by-step explanation:

Since it is a flat, horizontal line, it has a slope of 0.

If the line was straight up and down, it would be undefined.

Help meeeeeeee!!!!!!!!!!’n

Answers

Answer:

A.

Step-by-step explanation:

Answer:

A. 5 adult tickets and 15 children tickets

Step-by-step explanation:

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