Fractional index
Without using mathematical table simplify the following
(16/81)^-3/4

Answers

Answer 1

Answer:

[tex]\frac{27}{8}[/tex]

Step-by-step explanation:

using the rules of  exponents/ radicals

• [tex](\frac{a}{b}) ^{-m}[/tex] = [tex](\frac{b}{a}) ^{m}[/tex]

• [tex]a^{\frac{m}{n} }[/tex] = [tex](\sqrt[n]{a}) ^{n}[/tex]

then

[tex](\frac{16}{81}) ^{-\frac{3}{4} }[/tex]

= [tex](\frac{81}{16}) ^{\frac{3}{4} }[/tex]

= [tex]\frac{(\sqrt[4]{81})^3 }{(\sqrt[4]{16})^3 }[/tex]

= [tex]\frac{3^3}{2^3}[/tex]

= [tex]\frac{27}{8}[/tex]


Related Questions

The expression a÷4 is equal to?for a =2.6

Answers

Answer:

[tex]\frac{a}{4} = \frac{13}{20}[/tex]

Step-by-step explanation:

GIVEN :-

a = 2.6

TO FIND :-

Value of  [tex]\frac{a}{4}[/tex]

SOLUTION :-

To find the value of  [tex]\frac{a}{4}[/tex] , just put a = 2.6 there in the expression.

[tex]=> \frac{a}{4} = \frac{2.6}{4} = \frac{\frac{26}{10} }{4} = \frac{26}{40}[/tex]

Reducing the fraction gives - [tex]\frac{13}{20}[/tex]

In decimal form , it is - [tex]0.65[/tex]

Help me please!!! 20 points

Answers

Answer:

x=4, y =5

Step-by-step explanation:

there's no factorization involved, just elimination and substitution. First subtract equation 1 and 2. The x's cancel out and you get y by itself and can solve for it. Then plug the value of y into equation 2 and solve for x and you get it. (In my picture I put value of y in equation 1 but your question asks for putting it in equation 2 so do that instead)

As a member of the United Nations, you must consider each of the following proposals. In each case, assume that the United Nations would like to receive as many emergency supplies as possible, while still having each nation give equally.
a. One proposal is that each country gives medicine packages. How many food packages should the United Nations require from each country in this case? Explain how you made your decision.
b. Another proposal is to get the largest number of medicine packages possible. What is the largest number of medicine packages that each country can offer? How did you find your answer?

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

For point a:

Initially, we have had to figure out how many packaged food the country should offer with both the biggest quality and then the number of packages each country should give.

Find out just how many food packages a nation should donate with both the lowest budget.

For point b:

They first need to figure out just how many medication packages the country should donate on the lowest budget, and then how many packages each country can donate.

Find out just how many medicinal packets the smallest budget nation can donate.


Help me with this please lol.

Answers

Answer:

Flower Bed A is the 3rd on down

C=10pi,  A = 25pi

Flower Bed B is the 5th one down

C=12pi, A=36pi

9514 1404 393

Answer:

  A) 10π ft; 25π ft²

  B) 12π ft; 36π ft²

Step-by-step explanation:

The circumference is given by ...

  C = πd = 2πr . . . . . . . . . . for radius r or diameter d

The area is given by ...

  A = πr² = (π/4)d²

__

A) For a diameter of 10 ft, the circumference is π(10 ft) = 10π ft.

The area is (π/4)(10 ft)² = 25π ft².

__

B) For a radius of 6 ft, the circumference is 2π(6 ft) = 12π ft.

The area is π(6 ft)² = 36π ft².

Ashanti cashed her paycheck at Cash-n-Go. The fee at Cash-n-Go is 7.5% of the amount of the check. Her paycheck was $670. How much was the fee for Ashanti to cash her paycheck?​

Answers

Answer:

$50.25

Step-by-step explanation:

7.5% as a decimal is 0.075.

So, the fee is [tex](0.075)(670)=\$50.25[/tex].

Plz help me have a blessed one

Answers

its D because you have to times 6 then minus 6!

how many times does 5 go into 103?

Answers

5 goes in 103 20.6 times

Answer and Step-by-step explanation:

We know that 5 can go into 100 twenty times, so lets try 20 and see what happens.

5 times 20 = 100

  103

-  100

      3

We get a remainder of 3. This means that 5 goes into 103 only Twenty times.

If we were to fully divide 103 by 5, then 5 goes into 103 '20.6' times.

#teamtrees #PAW (Plant And Water)

If a coin flipped twenty five times and lands tails up seventeen times, the blank
Probability that the coin lands up is 17/25

Answers

I’m pretty sure it’s the experimental probability that’s 17/25.
The answer to that question is probably the experimental probablilith but I’m not sure sorry!

Find one value of x that is a solution to the equation:
(3x + 7)2 = -6x – 14

Answers

Answer: x = -7/3

Step-by-step explanation:

https://www.symbolab.com/solver/step-by-step/%5Cleft(3x%20%2B%207%5Cright)2%20%3D%20-6x%20-%2014

there are the steps

Answer:x=-7/3

                   

Step-by-step explanation:(3x+7)(2)=−6x−14

(3x)(2)+(7)(2)=−6x+−14(Distribute)

6x+14=−6x+−14

6x+14=−6x−14

6x+14+6x=−6x−14+6x

12x+14=−14

12x+14−14=−14−14

A construction worker is making concrete by mixing sand, gravel, and cement in water. For each pound of sand, he uses 1 2/3 pounds of gravel. For each pound of gravel, he uses 2/5 pound of cement. He is making enough concrete that he needs to use 3 pounds of sand. How many pounds of cement does he use? PLEASE HELP DUE NOW !! TYYY
A. 1 pound
B. 1 4/15 pounds
C. 2 pounds
D. 2 1/15 pounds

Answers

Using mathematical operations, the construction worker requires C. 2 pounds of cement to mix 3 pounds of sand.

What are the mathematical operations?

The basic mathematical operations are subtraction, addition, division, and multiplication.

These mathematical operations combine numbers, variables, mathematical operands, and the equation symbol to solve mathematical problems.

In this situation, we can apply the mathematical operation of multiplication to determine the quantity of cement required for 5 pounds of gravel.

The quantity of gravel per pound of sand = 1²/₃ = 1.667 pounds

For 3 pounds of sand, the quantity of gravel required = 5 pounds (1²/₃ x 3)

The quantity of cement per pound of gravel = ²/₅ pounds or 0.4

For 3 pounds of sand and 5 pounds of gravel, the quantity of cement required = 2 (5 x 0.4) or (5 x ²/₅)

Thus, 2 pounds of cement are needed to mix with 3 pounds of sand and 5 pounds of gravel.

Learn more about mathematical operations at https://brainly.com/question/4721701

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Claire tosses a coin and rolls a number cube 100 times. How many times should she expect to have the coin show heads and roll a 1 or 2?

Answers

F. 17 would be your answer I believe







Lacey runs a stable that boards a range of horses.
brown 8
black 9
gray 3
Considering this data, how many of the next 15 horses that come to board should you expect to be brown horses?

Answers

Brown is second up in running so if you take them it would be 6

Answer:no it would be 4

Step-by-step explanation:

Alan has 11 nickels and
dimes in his pocket. When
he counted his change he
found he had $0.95. How
many dimes does Alan
have?

Answers

Answer:

4

Step-by-step explanation:

Nickels are 5 cents a piece so you will multiple 11 by 5 to find how much Alan has in nickels. Then subtract that from the total of 95 to get your answer.

11 × 5 = 55

95 - 54 = 40

Since dimes are worth 10 cents you divide 40 by 10 and that is how many dimes Alan has.

40/10=4

Devika is making porridge by following this recipe.
She has 4 pints of milk and plenty of other ingredients.
What is the maximum number of whole servings she can make?
Note: 1 pint = 568 mL
Recipe: Serves 1
40 g oats
300 mL milk

Answers

4 pints x 568ml = 2272ml (this is how much milk she has)

2272ml divided by 300ml (the amount the recipe asks for) = 7.573...

round it down to get the nearest whole number, you end up with 7. (you can’t round it up to 8, because she has less than the amount needed for 8 servings)

so, the maximum number of whole servings she can make is 7.

correct answers only, if you send me a link then you will be reported

Answers

Answer:

c

Step-by-step explanation:

Mrs. Sarto told her son that if he babysat his baby sister, she would pay him $5.80 per hour. If Mrs. Sarto’s son babysits his sister for 5.2 hours, how much money will he be paid?

Answers

Ans =$30.16
Solution
$5,80*5.2 hours =$30.16

What is -6 - t/4 = -1

Answers

Answer: t=-20

Step-by-step explanation:

Please help answers do in 30 minutes

Answers

Answer:

The angle for x would be 45°

Which measure would change if you replaced 67 with 115
23, 89, 15, 67, 32, 41
A. Lower quartile
B. Mean
C. Mode
D. Median
HELP PLEASE! ​

Answers

Mean
As this value is greater than 67 and the highest number in original sequence

A machine at a graphic design studio produces paper labels for juice bottles. This graph represents the number of labels produced over time.

Zoom in if you cannot see!

Don’t answer if you don’t know the answer. Whoever gets the correct answer will get Brainliest! :)

Answers

Answer:

Option B, would be the correct answer: 75 labels per minute

Step-by-step explanation:

The number of labels produced per minute would be a constant value which would be the slope of this graph represented above.

Slope = [tex]\frac{rise}{run}[/tex]

Slope = [tex]\frac{150}{2}[/tex]

Slope = 75

Hope this helps!

I think it’s 150 since 1 minute= 150 labels

Please someone help me !!

Answers

Answer: $26.81

Step-by-step explanation: the tank holds 16.5 gallons. Meaning, half of the tank is 8.25 gallons. Multiply that by the cost of the gas, 3.25, and you get 26.81


If function gis defined by the equation y-3x = -14, which equation represents the function in function notation?
O A g(x) = 3x - 14
OB. 8(X) = -3x - 14
OC 8(*) = 3x + 14
OD. 8(X) = -3x + 14

Answers

Answer: B

Step-by-step explanation:

An aquarium holds 11.5 cubic feet of water, and is 2.2 feet long and 1.6 feet wide. What is its depth??

The depth is _____ feet.​

Answers

Answer: 3.52

Step-by-step explanation:

Hey!

So for this problem, we need to follow the Volume formula which is:

length x width x height

We know our length and width so all we need is our height (depth)

First , We multiply our length and width.

2.2 x 1.6 = 3.52

Next, we figure out what times this will equal 11.5. We can see that this number can’t be times 4 because that would make it twelve so we need to lower it. We can divide 11.5 (the volume) by 3.52 to get our answer.

We get 3.267. Rounded to the hundredths it would be 3.27 ft.

Hope this helps! :D

Sorry if I messed anything up!

Comment down below if you have any further questions!

Write the equation of a line in slope-intercept form that has a slope of -5 and passes through the point (3,- 2)

Answers

9514 1404 393

Answer:

  y = -5x +13

Step-by-step explanation:

We know from the slope-intercept equation ...

  y = mx + b

that the y-intercept b can be found as ...

  b = y - mx

Filling in the given values of m and (x, y), we find ...

  b = -2 -(-5)(3) = 13

Then the equation is ...

  y = -5x +13

Eden has 300 pounds in his savings accounts. his bank offers him a fixed 5 percent simple interest rate per annum, for a period of 3 years?

How much interest will he have earned after 3 years?

Answers

Answer:

Interest of £45

Step-by-step explanation:

£300×.05×3=£45

express the following ratios as fractions in their lowest term
a.4 birr to 16 cents
b.5 days to 100 hrs​

Answers

Answer:

1/4 is A and 1/20 is B

Step-by-step explanation:

Not much of an explanation needed

The ratios 4 birr to 16 cents and 5 days to 100 hrs can be expressed as [tex]\frac{1}{4}[/tex] and [tex]\frac{1}{20}[/tex] in their lowest terms.

What is Ratio?

Ratio is the relationship between two quantities which shows the number of times that the one quantity is contained within the other quantity.

If 'a' is related to 'b', they can be denoted in terms of ratio as a : b.

Ratios can be expressed as fractions.

(a) 4 birr to 16 cents = [tex]\frac{4}{16}[/tex]

The highest common factor of both 4 and 16 is 4.

[tex]\frac{4}{16}[/tex] = (4 × 1) / (4 × 4) = [tex]\frac{1}{4}[/tex]

(b) 5 days to 100 hrs = [tex]\frac{5}{100}[/tex]

The highest common factor of 5 and 100 is 5.

[tex]\frac{5}{100}[/tex] = (5 × 1) / (5 × 20) = [tex]\frac{1}{20}[/tex]

Hence the ratios can be expressed as [tex]\frac{1}{4}[/tex] and [tex]\frac{1}{20}[/tex] in their lowest terms.

To learn more about Ratios, click on the link given below :

https://brainly.com/question/13419413

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A spinner has regions numbered 1 through 18. What is the probability that ___________________
the spinner, spun once, will stop on an even number or a multiple of 3?

Answers

Answer:

Probability that the spinner stop on an even number or a multiple of 3 = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Given - A spinner has regions numbered 1 through 18.

To find - What is the probability that the spinner, spun once, will stop on an even number or a multiple of 3?

Solution -

Given that,

A spinner has regions numbered 1 through 18.

So,

The sample space, S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18}

i.e.

n(S) = 18

Now,

Let A be the outcomes that gives even number or a multiple of 3,

Then

A = {2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18}

i.e.

n(A) = 12

∴ we get

Probability that the spinner stop on an even number or a multiple of 3 = [tex]\frac{n(A)}{n(S)}[/tex]

= [tex]\frac{12}{18}[/tex]

= [tex]\frac{2}{3}[/tex]

i.e.

Probability that the spinner stop on an even number or a multiple of 3 = [tex]\frac{2}{3}[/tex]

FIND THE SLOPE . THE PICTURE ATTACHED IS THE FULL QUESTION ,

Answers

Answer:

-12/5

Step-by-step explanation:

slope = change in y / change in x

change in y = 12 (from top to bottom) = 6 - (-6)

change in x = -5 (from top to bottom) = -2 -3

slope = 12/-5 = -12/5

I need help pls now ??

Answers

the answer is a_______

Equations of Exponential Functions

The population, P, of six towns with time t in years are given by the following exponential equations:

(i) P = 1000(1.08)t (ii) P = 600(1.12)t
(iii) p = 2500(0.9)t (iv) P = 1200(1.185)t
(v) P = 800(0.78)t (vi) 2000(0.99)t

Which town decreasing the fastest?

a. ii c.iii
b. v d. vi

Please select the best answer from the choices provided

Answers

Answer:

B. v

Step-by-step explanation:

I calculated it logically

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