Select the correct answer.
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.

Select The Correct Answer.Which Expression Is Equivalent To The Given Expression? Assume The Denominator

Answers

Answer 1
The answer is B. When dividing exponents, you divide the coefficients and subtract the exponents from the numerator to the denominator.

So, in this case, 16/8 is 2 (eliminating C and D). Then, you subtract the exponents on r and s. For r, that’s 6-2 so the answer will be r^4. For s, that’s 3-6 so the answer will be s^-3, or 1/s^3. Put it all together and you get 2r^4/s^3, or B.
Answer 2

The expression (16r⁶s³) / (8r²s⁶) in the simplified form will be 2r⁴ / s³. Then the correct option is B.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ (16r⁶s³) / (8r²s⁶)

Simplify the expression, then we have

⇒ (16r⁶s³) / (8r²s⁶)

⇒ 2r⁴ / s³

The expression (16r⁶s³) / (8r²s⁶) in the simplified form will be 2r⁴ / s³. Then the correct option is B.

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Related Questions

What lines are perpendicular to 3x+6y=5

Answers

Answer:

u means that to make the equations

Answer:

the line on the point 1.2 and 4.5

Step-by-step explanation:

Which system of equations has the same solution as the system of
equations shown below?
6x + 2y = 10
8x + 4y = 12

Answers

Answer:

b

Step-by-step explanation:

that's what my teacher said.

6x + 2y = 10 and -4x=-8  system of equations has the same solution as the system of equations 6x + 2y = 10 and 8x + 4y = 12

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are

6x+2y=10..(1)

2y=10-6x...(2)

We need to find system of equation which having same solutions as above.

From equation (2)

y=5-3x

Now substitute y value in equation 1.

8x+4(5-3x)=12

8x+20-12x=12

-4x=12-20

-4x=-8

Hence, 6x + 2y = 10 and -4x=-8  system of equations has the same solution as the system of equations 6x + 2y = 10 and 8x + 4y = 12

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Beth wants to exercise for 4/5 hour .so far she has exercise for 2/3hour what fraction of hour does she have left to exercise

Answers

Answer:

Hi! The answer is 2/15 . I'm sorry If i'm wrong :(

Step-by-step explanation:  To be honest, I suck at explaining :p

Priya has 5 pencils, each x inches in length. When she lines up the pencils end to end, they measure 34.5 inches. Select all the equations that represent this situation.

Answers

Answer:

Step-by-step explanation:

You would have to divide 34.5 and 5 to be able to find out what each pencil measurement the answer is 6.9.

Solve 3(3/5)*2(3/4)*3(5/6)

Answers

Answer:

6.75

Step-by-step explanation:

Multiple: 3 * 3/

5

= 3 · 3/

1 · 5

= 9/

5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(9, 5) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - three multiplied by three fifths = nine fifths.

Multiple: the result of step No. 1 * 2 = 9/

5

* 2 = 9 · 2/

5 · 1

= 18/

5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(18, 5) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - nine fifths multiplied by two = eighteen fifths.

Multiple: the result of step No. 2 * 3/

4

= 18/

5

* 3/

4

= 18 · 3/

5 · 4

= 54/

20

= 27 · 2/

10 · 2

= 27/

10

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(54, 20) = 2. In the next intermediate step , cancel by a common factor of 2 gives 27/

10

.

In words - eighteen fifths multiplied by three quarters = twenty-seven tenths.

Multiple: the result of step No. 3 * 3 = 27/

10

* 3 = 27 · 3/

10 · 1

= 81/

10

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(81, 10) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - twenty-seven tenths multiplied by three = eighty-one tenths.

Multiple: the result of step No. 4 * 5/

6

= 81/

10

* 5/

6

= 81 · 5/

10 · 6

= 405/

60

= 27 · 15/

4 · 15

= 27/

4

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(405, 60) = 15. In the next intermediate step , cancel by a common factor of 15 gives 27/

4

.

In words - eighty-one tenths multiplied by five sixths = twenty-seven quarters.

What is the area of the triangle?
2
2
units2

Answers

Answer:

2

Step-by-step explanation:

you just multiply

The difference between two numbers is 2.5 . The product of those two numbers is 21. Provide the 2 equations needed to solve the application separated by a comma and NO SPACES.

Answers

Answer:

x-y=2.5,xy=21

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

One of the numbers is x.

The other number is y.

The difference between two numbers is 2.5

This means that x - y = 2.5

The product of those two numbers is 21.

This means that xy = 21.

So the two equations are: x-y=2.5,xy=21

7(x — 6) = 3х +9

Helppp

Answers

answer: x=51/4
step by step explanation: ask if needed

Answer:

7x-42=3x+9

7x-3x=42+9

4x=51

x=51/4

x=12.75

Step-by-step explanation:

There are 9 students in the art club. The students shared 150 sheets of construction paper equally for an art project. How many sheets of paper were left over?

Answers

Answer: 6 sheets left over.

Step-by-step explanation:

Given, Total students = 9

Total sheets = 150

If sheets were divided equally, then the number of sheets each student got = Total sheets ÷ Total students

= 150 ÷ 9

[tex]= 16\dfrac{6}{9}[/tex]

So, each student got 16 sheets and 6 sheets left over.

Hence, 6 sheets were left over.

Help please______________________________

Answers

Answer:

By rounding each number to the nearst whole number, estimate the solution:

2.7²X4.3=31.347

8.8-5.15=3.65

for this 31 and 4 if you want to round

Step-by-step explanation:

Answer:

?????????

Step-by-step explanation:

Find the area of the shaded sector. Leave your answer in terms of π.

a. 3π ft2
b. 32π ft2
c. 18π ft2

Answers

It’s b 32ft I think not sure):

someone pls help (15 points)
need asappppp

Answers

Answer:

x=7

Step-by-step explanation:

(x+16)=(4x-5)

Subtract x from both sides

16=3x-5

Add 5 to both sides

21=3x

Divide both sides to get x=7

Both angles are congruent due to the vertical angles theorem which states that if angles are vertical then they are congruent.

Hope this helps!

Pls answer this for brainly

Answers

Answer:

54

Step-by-step explanation:

x-1=3

2xy=24

3+24=27

27·2=54

Answer:

54

Step-by-step explanation:

Which of these transaction types

DECREASE how much you owe the credit card

company?

Answers

Options:

a. Balance Transfers

b. Cash Advances

c. Payments

d. Interest Charges

Answer:

c. Payments

Step-by-step explanation:

Of all the given options, only (c) Payments decreases amount owed.

(a) Balance transfer means one is taking out cash from the account (i.e. a debit transaction); (b) Cash advances implies a withdrawal transaction from one's account and (c) Interest charges is the amount of interest deducted from an account over a debt for a given period.

As analysed , each of the above transactions increases debts.

However, (c) Payments implies a credit transaction and as such, reduces the amount owed.

The only transaction type among the given ones that helps to decrease how much you owe the credit card company is;

Option C; Payments

The missing options are;

A) Balance Transfers

B) Cash Advances

C) Payments

D) Interest Charged

We want to find out which of the transactions among the given options would lead to a decrease in the amount you owe the credit card company.

Let's analyze the options;

Option A; Balance transfer means when a customer wants to move the amount he/she owns to a credit card that has lower interest rates. This does not reduce the debts as the debts are still there just that you have moved the funds to another credit card.

Option B; Cash advances are typically short term loans offered the credit card company. Thus, it only increases your debt.

Option C; Payments in this case means paying outstanding debts with the credit card holder. Thus, it helps to decrease how much you owe the credit card company.

Option D; Interest charges are usually the amount issued by the credit card holder for debts accrued over a given period of time.

Looking at the options, the only one that helps to decrease how much you owe the credit card company is Option C.

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Find the retail price of an item with a wholesale price of $50 at a 30% markup

Answers

Answer:

65% i do believe!

Step-by-step explanation:

Answer:

I would say 65% probably

Will mark brainliest!!!
Solve for x

Answers

Answer:

31.88

Step-by-step explanation:

You will use cos, which is adjacent/hypotenuse

cos(15)=x/33

0.97=x/33

31.88=x

Work out the values of a and b in the identity
5(7x + 8) + 3(2x + b) ≡ ax + 13

Answers

The correct answer is A = 41+3b/x+27/x
B = ax/3-41x/3 - 9

What is the measure of angle KLM

Answers

Answer:

In triangle KLM, the measure of angle K is 119 degrees, KL=23, and KM=20.

The measurement of the angle KLM is 64°.

What is an angle?

An angle is a geometrical shape that is formed by two rays or lines, called the sides or arms of the angle, that share a common endpoint, called the vertex of the angle.

Given is a figure, we need to find the measurement of ∠KLM,

Here,

∠KLM + ∠KLJ = 180° [linear pair]

20x+4 + ∠KLJ = 180°

∠KLJ = 176-20x

Consider the triangle, KLJ,

∠KLJ + ∠KJL + ∠JKL = 180° [sum of the interior angles of a Δ)

8x+18+6x+4+176-20x = 180°

-6x = -18

x = 3

So, ∠KLM = 20(3)+4 = 64°

Hence, the measurement of the angle KLM is 64°.

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2x+5 = 11
What is x in this equation

Answers

Answer:

x=3

Step-by-step explanation:

Subtract 5 from both sides:

2x=6

Divide both sides by 2:

x=3

Answer:

3

Step-by-step explanation:

2x+5=11

subtract 5 from both sides of the equation

2x=6

Then divide by two to both sides of the equation

x=3

Due in 3 minutes Need help ASAP

Will mark you brainlist

Answers

Answer:

I think it's 10 gallons less than Evan

i riley need help with this riley bad !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!............

Answers

Answer:

Green and Orange

Step-by-step explanation:

Green and Orange because 1 1/4 = 1 2/8

2 1/8 + 1 2/8 = 3 3/8

Can I please get brainliest

If you have 100,000,000 dollars how many NFL teams can you buy. (NFL teams cost 32,00 dollars.)

Answers

Answer:

3125

Step-by-step explanation:

Answer:

There is only 32 so it 32

Step-by-step explanation:

Because there’s only 32

brainly the following stem-and-leaf plot shows the on-record attendance for regional charity drive meetings
What is the mode?
A.)48
B.)84
C.)70
D.)66

Answers

Answer:

what does the stem-and-leaf plot look like?

Which is the product in the expression 5(z+6)-25+x

Answers

I think this is right x+5z+5
X+5z+5 would be the correct answer for this. Do you need an explanation?

A painter needs 5 gallons of paint to finish a house. He has 3 quarts and 1 pint. How much more paint does he need

Answers

Answer:

Step-by-step explanation:

He needs 1 pint to get the 3 quarts to 4 quarts.

4 quarts = 1 gallon.

So if he buys 1 pint he will have 1 gallon.

He needs 5 gallons.

He has 1 gallon

He needs 5 - 1 = 4 gallons.

Answer: he needs 1 pint and 4 gallons.

Lucilla wondered what the average weight of each grapefruit was in a five-pound bag of grapefruits. She purchased six bags and calculated the average weight for a single grapefruit in each bag. Bag of Grapefruits Average Grapefruit Weight (oz) 1 7.1 2 6.9 3 7.3 4 7.6 5 8.1 6 7.5 Using her results, a grapefruit from a five-pound bag of grapefruits should weigh between 7.3 oz and 7.6 oz. 7.1 oz and 7.5 oz. 6.9 oz and 8.1 oz. 7.1 oz and 7.6 oz.

Answers

The data collected by Lucilla is as follows:

7.1 oz

6.9 oz

7.3 oz

7.6 oz

8.1 oz

7.5 oz

What is Range?

The difference between the lowest and highest values in a list or set is known as the range. Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest. The range of the list is provided in the response.

We need to put this data in order, this will give us:

6.9 , 7.1 , 7.3 , 7.5 , 7.6 and 8.1

We have

smallest value is 6.9 oz

largest value is 8.1 oz

all other values fall in this range

Therefore, the weight of an orange based on her calculations is between 6.9 oz and 8.1 oz

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Answer:

6.9 and 8nd 8.1 or C

Step-by-step explanation:

V² = u² + 2as
u=8 a= -7 s= 2

Work out a value of v

Answers

Answer:

v=6

Step-by-step explanation:

Just plug in the numbers u already know.

v²=8²+2*(-7)*2

V²=64-28

v²=36

v=√36

v=6

Two lines have the equations:

2x + 3y = 15 and

3x – 2y = 3

Solve these equations simultaneously to find the point of intersection of the lines.

Answers

Let me know if you have any questions

If a * b = a/b - 1, then 7 * 28 =​

Answers

It will be 7/28-1


Brainly. Jvunvfunvufnvjrcufv

52 - 5 – 8

I need help pls !!

Answers

Answer:

39

Step-by-step explanation:

Answer: 39?

Step-by-step explanation: is it integers?

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