Use the laws of exponents to express 9-3/2 · 82/3 as a simple fraction. Show the steps in the simplification

Answers

Answer 1

Answer:

4/27

Step-by-step explanation:

The laws of exponent are used for the simplification of expressions with exponential powers. Considering the given expression, the applicable laws of exponents are

a^-x = (1/a)^x

and

a^(x/b) = b√a^x

Hence

9-3/2 · 82/3

= (1/9)^3/2 . 8^2/3

= √(1/9)³ . ∛8²

= (1/3)³ . 2²

= 1/27 . 4

= 4/27

Related Questions

plssss help !,! Tim was given $100 for his twelfth birthday. He's curious to see how much it will grow to if he earns interest on it. His mother tells him that she has about $3,000 in the same kind of account and she earned $120 last year. About how much interest could Tim expect to earn in a year?
A. $4.00
B. $12.00
C. $40.00
D. $1.20

Answers

Answer:

Step-by-step explanation:

gurl I have not one idea but I need the point

Answer:

$4.00

Step-by-step explanation:

You need to work out how much $120 is as a percentage of $3000.

$3000 x percentage / 100 = 120

$3000 x percentage = 12000

percentage = 12000 / 3000 = 4

= 4%

The work out 4% of $100 = $4.00

Hope this helps

look at the model and answer the following questions

Answers

Answer: Can't see the questions clearly, also 3/4 x 1/3 is 1/4

Step-by-step explanation:

42-15 dived by 5 step by step :D

Answers

Answer:

(42 - 15) ÷ 5= 5.4

____________________________________________________________

1) 42 - 15 = 27

2) 27 ÷ 5 = 5.4

please help me with this and prove how you got your answer

Answers

To make this proportional the length needs to be 21.43 inches hope this helps!

______ I am sorry but I can't help_____

Charlie Gordon thinks he lost his check from the lab. Why is this not true?

Read the Charlie from Algernon to figure the answer to the question!

Answers

Answer: Because he is used to getting payed by the lab and was confused when his check didnt come.

Step-by-step explanation:

what is -3 1/3 -2?
its for an i-ready assignment

Answers

Answer:

The answer is -5.333

fraction answer: -5 333/1000

Step-by-step explanation:

If you have any questions ask me please! :)

Answer:

-5.33333333333

help please and thank you

Answers

0.033333333333333333

Answer: 0.3 as a repeating decimal or 3/10

Step-by-step explanation:

divide 1 and 10/3 as a reciprocal

1 x ( 3/10) = 3/10 or 0.3 as a repeating decimal

I need the answers to all of them please :(

Answers

Answer:

2) 0.081

3) 0.741

4) 71.3

5) 0.0422

6) 79.9971

7) 0.00265

8)0.0935

Answer:

1 - 89.974

2 - 0.081

3 - 0.741

4 - 71.3

5 - 0.0422

6 - 79.9971

7 - 0.00265

8 - 0.0935

Error Analysis: A store is instructed by corporate headquarters to put a markup of 67% on all items. An item costing $6 is displayed by the store manager at a selling price of $4. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?

Part 1: The correct selling price is (Round to the nearest dollar as needed.)
Part 2: What was the manager's likely error?

A. The manager set the selling price at the markup.
B. The manager subtracted the markup from the cost instead of adding it.
C. The manager set the selling price at the cost.
D. The manager added the markup to the cost instead of subtracting it.

Answers

Answer:

To find the correct selling price, we need to first find the cost of the item plus the markup. We can do this by multiplying the cost of the item by the markup percentage: $6 * 67% = $4.02. However, since the question asks us to round to the nearest dollar, we can round this number down to $4.

Therefore, the correct selling price is $4.

The manager's likely error was that they set the selling price at the cost (option C).

Step-by-step explanation:

The correct selling price is $10 and the manager set the selling price at the markup so option (A) is correct.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Cost of item = $6

Markup = 67%

67% of $6 ⇒ 0.67 x 6 = $4.02

Add the markup in the cost = $6 + $4.02 = $10.02

Round to nearest dollars = $10.2 ≈ $10.

The manager put $4 which is a markup instant of the selling price of $10.

Hence "The correct selling price is $10 and the manager set the selling price at the markup".

For more about the percentage,

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Find the solution set of the inequality.
10c + 5 ≤ 45

Answers

The answer is C < 4
-

C < 4 creo no estoy seguro

(5×10^– 2)(1×10^– 8)

need help asap i will mark pls be honest my life is on the line

dont steal these points
i need help im desperate

Answers

Answer:

5e-10

Step-by-step explanation:

Hope this will help

Answer:

50000000000

Step-by-step explanation:

For (5×10^– 2): 10 to the negative second power equals -100. 5 x -100 = -500.

For (1×10^– 8): 10 to the negative eighth power equals -100000000. Multiplied by one is obviously the same exact number. So -500 x -100000000 = 5000000000. Remember that negative numbers multiplied by negative numbers will always equal positive numbers. And positive numbers multiplied by negative numbers will always equal negative numbers.

Karen spends $450 on monthly bills. Of this total amount, 12% is for phone service, 1/10 is for Internet service, and 20% is for utilities. If the rest of the total amount is for food, how much does Karen have for food?

Answers

Answer:

I think $257 is the answer! Hope it's right!

Answer: $251 i hope it helps!

Step-by-step explanation:

12%= 0.12 = 12/100 = 108/900

1/10 = 90/900

2/9 = 200/900

108/900 + 90/900 + 200/900 = 398/900 used

900- 398 = 502

502/900 = 251/ 450

251/450 × 450 = 251

Which expression is equivalent to 3m÷4n⋅5p?

3m÷5p⋅4n, 3m÷5p⋅4n, 3m⋅5p÷4n, or 4n÷3m⋅5p?

Answers

Answer:

Its (C)

Step-by-step explanation:

$\frac{3}{4}$ * 5 = $\frac{15}{4}$

Only answer that is equivalent is C

the answer is C also known as the third one because that one is the most equivalent to the question asked

I NEED HELP BEFORE 1:40 P.M! Johanna uses 40 sheets of paper every 4 days. ( Part A and B are not here because they were pretty easy for me.) Part C: Johanna's sister uses twice as much paper as Johanna uses in half the number of days that Johanna does. How many times more does Johannna's sister use each day than Johanna?

Answers

Answer:

Johanna's sister uses 4x the amount of paper that Johanna uses each day.

Step-by-step explanation:

Johanna uses 10 pieces of paper each day. (40 divided by the 4 days = 10)

If Johanna's sister uses twice the amount that Johanna uses in half the days, then she would be using 80 pieces of paper in 2 days. (80 divided by the 2 days = 40) Johanna's sister uses 40 pieces of paper each day.

So now we know that Johanna uses 10 pieces of paper each day, and her sister uses 40 pieces of paper each day.

Now we divide 40 by 10 which gives us 4, to give us our answer. Johanna's sister uses 4x the amount of paper that Johanna uses each day.

Sorry for the later response; hope this helps!

Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111

Answers

Here are the pairs matched with their products:

- (-5)(4.2) matches with -21

- (-7)(-3) matches with 21

- (2.5)(-9) matches with -22.5

Pairs (4) and (5) do not have corresponding products in the given options.

The products of the given pairs of numbers are:

(-5)(4.2) = -21

(-7)(-3) = 21

(4)(5) = 20

(2.5)(-9) = -22.5

So, the pairs of numbers and their products are as follows:

(-5)(4.2) = -21 matches with -21.

(-7)(-3) = 21 matches with 21.

(4)(5) = 20 matches with 20.

(2.5)(-9) = -22.5 matches with -22.5.

I hope this helps!

solve the following proportion
x/2 = 8/9

Answers

Answer:

$\huge\boxed{\sf x = 16/9}$

Step-by-step explanation:

Given proportion:

$\displaystyle \frac{x}{2} =\frac{8}{9} \\\\Cross \ Multiply\\\\x \times 9=2\times 8\\\\9x = 16\\\\Divide \ 9 \ to \ both \ sides\\\\x = 16/9\\\\\rule[225]{225}{2}$

X=16/9
Cross multiply
2x8
=16
Xx9
=9x
Divide both sides by 9
=16/9

Please somebody help

Answers

Answer:

Step-by-step explanation:

Here is answer to a

Answer:

a is x=9

Step-by-step explanation:

mark me brainliest pls

There are 10 brown, 10 black, 10 green, and 10 gold marbles in bag. A student pulled a marble, recorded the color, and placed the marble back in the bag. The table below lists the frequency of each color pulled during the experiment after 40 trials..

Outcome Frequency
Brown 13
Black 9
Green 7
Gold 11

Compare the theoretical probability and experimental probability of pulling a green marble from the bag.

Choice A: The theoretical probability, P(green), is 50%, and the experimental probability is 11.5%.

Choice B: The theoretical probability, P(green), is 25%, and the experimental probability is 25%.

Choice C: The theoretical probability, P(green), is 25%, and the experimental probability is 17.5%.

Choice D: The theoretical probability, P(green), is 50%, and the experimental probability is 7.0%.

PLEASE HELP ASAP!!!!!!!

Answers

To compare the theoretical probability and experimental probability of pulling a green marble from the bag, we first need to calculate the theoretical probability of pulling a green marble.

The bag contains a total of 40 marbles, and 10 of them are green. Therefore, the theoretical probability of pulling a green marble is:

P(green) = 10/40 = 1/4 = 0.25 = 25%

To calculate the experimental probability of pulling a green marble, we can use the frequency table given in the problem. Out of the 40 trials, a green marble was pulled 7 times. Therefore, the experimental probability of pulling a green marble is:

Experimental probability of pulling a green marble = Frequency of green marbles / Total number of trials
= 7/40
= 0.175
= 17.5%

Therefore, the correct answer is Choice C: The theoretical probability, P(green), is 25%, and the experimental probability is 17.5%.

The answer is C I’ve had this before

A small zoo is being designed
on 2/3 of an acre of land. The
designers plan to have 30
different animal areas. How
much land will each animal area
have?

Answers

ANSWER:

1/45 of the acre

EXPLANATION:

2/3 divided by 30 is also (2/3)(1/30)

it would be 2/90 which simplifies to 1/45

Last year, Baby Pemdas paid an average price of $4.25 per gallon of gas.

a) How much would it cost for her to buy 8 gallons of gas? Draw a picture and solve it.

b) Her car gets an average of 24 miles per gallon. How much would it cost her to go 72 miles? Draw a picture or
diagram and solve.

c) Last year, she drove 10,000 miles. How much did she spend on gas last year?

Answers

Answer: 34, 3, and around 1771

A) If they pay an average of 4.25$ per gallon on gas, 8 gallons would cost 34$ (ex. 4.25•8=34)
B) If her car goes an average of 24 gallons per mile, it would cost her 318.76$ for her to go 74 miles.
C) If she drove 10,000 miles it would cost her 42,500$ sense(4.25•10000=42,500)

What did the Council of Trent require each future parish priest to have?

(Edit) This is a history question I just misclicked.

Answers

Answer: Two of its most far-reaching provisions were the requirement that every diocese provides for the proper education of its future clergy in Catholic seminaries and the requirement that the clergy, especially the bishops, give more attention to the task of preaching.

Step-by-step explanation:

pwease help ..........................................

Answers

Answer:

29.97cm

Step-by-step explanation:

16.99

8.33

4.65

______+

29.97

29.97 i think, add the units (cm)

Pythagorean theorem)

Answers

Answer: its b ;p

Step-by-step explanation:

Answer:

5.7

Step-by-step explanation:

6 times 6 is 36 2 times 4 is 2. 36 - 4=32 and 32 squared is 5.656

A recipe uses 5/8 cups of vegetable oil and 2 cups of water. Write the ratio of vegtable oil to water. THEN find the value of the ratio *you should have two answers

Answers

Answer:

5/8 : 2

Step-by-step explanation:

20 points to whoever answers this right!!

Answers

So first we have to subtract the area of the other shapes. So…

352-

96
48
96
48

We will end up with 64

So divide that by 2 because there is 2 rectangles.

So then you’re left with an area of 32 for each rectangle!

Then you will do 42/4 (because one of the sides is 4) so you end up with 10.5

So then, that’s your missing side:

10.5 ft

The area of each missing face is 32ft squared and the length of each missing edge is 8ft squared

Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.

20% tip on a bill of $80.36

Answers

Answer:

$16

Step-by-step explanation:

Round : $80.36 : $80

Equation : 20% of 80

Answer : $16

Sidenote: I hope this answers your questions!

Answer:

.20x80.36

16.07200

Step-by-step explanation:

Simplify the expression − 3/5(−8 + 5/9x − 3).

Answers

Answer:

numerator: -33+5x/3 denominator: 5

numerator: -33+5x/3 denominator:5

Which inequality will have a shaded area below the boundary line

Answers

Answer:

Step-by-step explanation:

If you calculate the rest of the equations, they all result in y being more than (or equal to) the rest of the inequalities. You are looking for an inequality where y is LESS than the other stuff.

Hope this [kinda] helps!

A composite figure is shown.

A five-sided figure with two parallel sides. The shorter one is 16 feet. The height of the figure is 22 feet. The portion from the vertex to the perpendicular height is 6 feet. The portion from a point to a vertical line created by two vertices is 6 feet.

Which of the following represents the total area of the figure?

968 ft2
616 ft2
484 ft2
352 ft2

Answers

Answer:

Option (C) 484 ft²

Step-by-step explanation:

The Five Sided figure can be divided into 2 Triangles and 1 Rectangle.

The Dimensions of the Triangle that is on the Left are as follows:

Length of the triangle = 22 Feet

Breadth of the triangle = 8 Feet

Area of the triangle = (Length * Breadth) / 2

= (22 * 8) / 2

= 176/2

= 88 ft²

The Dimensions of the Triangle that is on the Right are as follows:

Length of the triangle = 22 Feet

Breadth of the triangle = 4 Feet

Area of the triangle = (Length * Breadth) / 2

= (22 * 4) / 2

= 88/2

= 44 ft²

The Dimensions of the Rectangle are as follows:

Length of the rectangle = 22 Feet

Breadth of the rectangle = 16 Feet

Area of the triangle = (Length * Breadth)

= (22 * 16)

= 352 ft²

The Total Area of the Five Sided figure can be found by summing up the areas of the Triangles and the Rectangle.

The Total Area of the figure is 88 + 44 + 352 = 484 ft²

So, the total area of the figure is 484 ft².

To learn more about Finding Areas of Plane Figures here

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Hope my answer helps you✌️

Mark BRAINLIEST

The area of the trapezoid is 308 ft2, the correct option is D.

We are given that;

Shorter side= 16 feet

b2=6+6=12 ft

Height= 22 feet

Now,

To find the area of a trapezoid, you need to know the lengths of the two parallel sides (the bases) and the height. The formula for the area of a trapezoid is:

A=21(b1+b2)h

where b1 and b2 are the lengths of the bases and h is the height1.

Substitute these values into the formula and simplify:

A=21(16+12)×22

A=21×28×22

A=14×22

A=352

Therefore, by the area the answer will be 308 ft2.

Learn more about the area;

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help please i have like 20 min left

Answers

Top two I hope this helped

Top two I hope this helps you

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