Which expression is equivalent to 10q^5w^7/2w^3•4(q^6)^2/w^-5

Answers

Answer 1
Answer:

The expression is equivalent to 20q^17w^19.

What is an expression?

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

We are given that;

10q^5w^7/2w^3•4(q^6)^2/w^-5

Now,

To simplify the expression, we can use the following rules of exponents:

To multiply two powers with the same base, add their exponents

$$(10q^5w^7)/(2w^3) * (4(q^6)^2)/(w^(-5))$$$$= (10q^5w^7)/(2w^3) * (4q^(12))/((1)/(w^5))$$$$= (10q^5w^7)/(2w^3) * (4q^(12)w^5)/(1)$$$$= (10 * 4 q^5 q^(12) w^7 w^5)/(2 w^3)$$$$= (40 q^(17) w^(12))/(2 w^3)$$$$= 20 q^(17) w^(9)$$

Therefore, by the expression the answer will be 20q^17w^19.

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Answer 2
Answer: 20q^17 w^9

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A shipping container will be used to transport several 60-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 26000 kilograms. Other shipments weighing 13200 kilograms have already been loaded into the container. What is the greatest number of 60-kilogram crates that can be loaded into the shipping container?

Answers

Answer:

213 crates

Step-by-step explanation:

There is enough space for 26000 kg - 13200 kg = 12800 kg. Divide this by 60 and you get 213 and 1/3. You cannot put 1/3 of a crate, so it is 213 crates.

22 - x/2 =14 ........

Answers

Answer:

x=16

Step-by-step explanation:

2) Zoe was practicing for a marathon. She practiced for six days, runningfour miles each day. How many miles did Zoe run altogether?

Answers

Answer: zoe ran 24 miles

You are given 7 to 1 odds against rolling a sum of 6 with the roll of two fair dice, meaning you win $7 if you succeed and you lose $1 if you fail. Find the expected value (to you) of the game.

Answers

Answer:

The expected value of the game is $0.33.

Step-by-step explanation:

There are N = 36 outcomes of rolling two 6-sided fair dice.

The sample for the sum of two numbers to be 7 is:

S = {(1, 6), (2, 5), (3, 4), (4, 3), (5, 2) and (6, 1)}

n (S) = 6

It is provided that there is a 7 to 1 odds against rolling a sum of 6 with the roll of two fair dice.

That is, you win $7 if you succeed and you lose $1 if you fail.

Compute the expected value of the game as follows:

E(X)=\sum x\cdot P (X=x)

         =[\$(7)* (6)/(36)]+[\$(-1)* (30)/(36)]\n\n=(7)/(6)-(5)/(6)\n\n=(7-5)/(6)\n\n=(1)/(3)\n\n=\$0.33

Thus, the expected value of the game is $0.33.

Describe the end behavior of f(x) = - 2 ^ (x + 3) - 1

Answers

Answer: the answer is an equation

Step-by-step explanation:

Members of a softball team raised $2039.50 to go to a tournament. They rented a bus for $1157.50 and budgeted $49 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.

Answers

Answer:

18 = number of players

Step-by-step explanation:

Giving the following information:

Members of a softball team raised $2039.50 to go to a tournament. They rented a bus for $1157.50 and budgeted $49 per player for meals.

To calculate the total number of players they can bring, we need to use the following formula:

Total amount of money= fixed cost + unitary variable cost*number of players

2,039.5= 1,157.5 + 49*number of players

882/49= number of players

18 = number of players

The team can bring a maximum of 18 players to the tournament given the amount they raised and the budgeted expenses.

Let's use "x" to represent the number of players the team can bring to the tournament.

The total amount raised by the team is $2039.50,

and they rented a bus for $1157.50. Each player's meal will cost $49.

The total amount spent on the bus and meals for x players can be represented as follows:

Total Expenses = Bus Cost + (Number of Players) * (Cost per Player's Meal)

                           = $1157.50 + x * $49

Since the team's total expenses should not exceed the total amount raised,

$2039.50 ≥ $1157.50 + x * $49

$2039.50 - $1157.50 ≥ x * $49

$882 ≥ x * $49

Now, divide both sides by $49 to solve for x:

x ≤ $882 / $49

x ≤ 18

So, the team can bring a maximum of 18 players.

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