How do you convert from a radical expression to a rational exponent?

Im just a little confused so if someone could explain this to me, thatd be great!

Answers

Answer 1
 The denominator of the raised fraction is what goes on the outside of the square root. So if you had 2 raised to 1/3, you'd put the 3 raised outside to the left of the radical and the 2 inside. They give the same answer, so if you know one, you can always play with the other until you get the same answer. My teacher told us in Calculus a funny/weird way to remember it is the "bottom (of the raised fraction) goes in the crack (of the radical)." Does this help??
Answer 2
Final answer:

To convert a radical expression to a rational exponent, identify the root index of the radical as this will be the denominator of the rational exponent. The base remains unchanged. The rational exponent is 1 over the root index.

Explanation:

To convert a radical expression to a rational exponent, you need to understand the connection between them. In mathematics, the 'nth root of a' can be written as a radical expression or as a to the power of 1/n, which is the rational exponent form.

For example, if we have √a (square root of a), which is a radical expression, it can be written as a^(1/2) in rational exponent form. Similarly, the cube root of a (3√a) translates to a^(1/3).

Here are the steps for conversion:

   

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Related Questions

if Mary pitches a baseball with the initial height of 6 feet and a velocity of 73 feet per sec, how long will it take for the ball to hit the ground


PLZ somebody tell me ;c

Answers

4.64 seconds i believe


The Shake Shack sells large and small shakes. A large shake costs $5, and a small shake costs $3. On Sunday, the Shake Shack had a total revenue of $479. Which equation can be used to represent x, the number of small shakes sold and y, the number of large shakes sold?
479x + 479y = 15
4x + 4y = 479
5x + 3y = 479
3x + 5y = 479

Answers

Since X represents small shakes and y large ones The 3 must be with x and the 5 with y. The last equation is the only one that fits this criteria.

Answer: 3x + 5y = 479

Answer:

3x + 5y = 479

Step-by-step explanation:

As the problem states it, the number of small shakes will be represented by "x" and the number of large shakes will be represented by "y", so we know that the number of each mutiplied by the cost, its equal to the total revenue which is $479, so we just put that into an equation:

3x + 5y=$479

And that´s the equation that can be used to represent that inequality.

a child is 2-1/2 feet tall. the child's mother is twice as tall as the child. how tall is the child's mother?

Answers

the mother is 5 feet tall

2.5 times 2 would be 5
The mother is 5 feet tall

Alaska's glacier bay national park had 431,986 visitors one year the next year the park had22,351 more visitors than the year before how many people visited during the two years show your work and explain how you found your answer.

Answers

886,323 people visited during the two years.

Which problem can be solved using this equation? 400+100c=550+70c
A. One car salesperson makes a monthly salary of $100,$100, plus $400$400 commission for each car sold.
The other car salesperson makes a monthly salary of $70,$70, plus $550$550 commission for each car sold.

For which number of cars, cc, do they make the same amount in one month?



B.One car salesperson makes a monthly salary of $400,$400, plus $100$100 commission for each car sold.
The other car salesperson makes a monthly salary of $550,$550, plus $70$70 commission for each car sold.

For which number of cars, cc, do they make the same amount in one month?



C.One car salesperson makes $500$500 for each car sold.
The other car salesperson makes $620$620 for each car sold.

For which number of cars, cc, do they make the same amount in one month?

Answers

ur answer is gonna be B

Answer:

One car salesperson makes a monthly salary of $400, plus $100 commission for each car sold.  

The other car salesperson makes a monthly salary of $550, plus $70 commission for each car sold.

For which number of cars, c, do they make the same amount in one month?

A line passes through (1, –5) and (–3, 7).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in slope-intercept form.

Answers

A.  First, find the slope, which  is -0.5, and then insert it into point-slope form, which is y-y1=m(x-x1), or y-1=-0.5(x+5). That's point-slope form.


B.  First, distribute -0.5 to both terms  in the parenthesis, to get y-1=-0.5x-2.5, and lastly add 1 to both sides to get the slope-intercept form of y=-0.5x-1.5

Answer:

you didnt give the answer its A

Step-by-step explanation:

cause u gay

Is the decimal form of 13/3 a rational number

Answers

No Its not Rational Number

One hundred students are asked a survey question as they walk through the front gate at their middle school. Is this a representative sample of the schools population?

Answers

Given that one hundred students are asked a survey question as they walk through the front gate at their middle school.

This a representative sample of the schools population because the sampling is random and is not biased.

Easy question about triangles that I forgot what they look like so I feel too lazy to look them up (13 POINTS)

Answers

There are exactly 3 scalene triangles, and I feel you XD
They are right, there are exactly 3 scalene triangles

Which rate is equivalent to the unit rate of 15 miles per gallon?

thirty miles over three gallons
three gallons over thirty miles
four gallons over sixty miles
sixty miles over four gallons

Answers

Sixty miles over four gallons would reduce down to 15 miles over one gallon which would 15 miles per gallon.

Answer:

Fourth option is correct.

Step-by-step explanation:

Since we have given that

thirty miles over three gallons  

Unit rate would be  miles per gallon.

three gallons over thirty miles  

Unit rate would be  miles per gallon.

four gallons over sixty miles  

Unit rate would be  miles per gallon.

sixty miles over four gallons

Unit rate would be  miles per gallon.

Hence, Fourth option is correct.

20 POINTS!!! WRONG ANSWERS WILL BE REPORTED!!

Answers

as you know 
sin = opp / hyp
cos = adj / hyp
tan = opp/adj

so
tan(Y) = opp/adj = 8/15 
cos (X) = adj / hyp = 8/17
tan(X) = opp/adj = 15/8
sin(Y) = opp / hyp = 8/17
cos(Y) = adj / hyp = 15/17

so answers
tan(Y) = opp/adj = 8/15 
tan(X) = opp/adj = 15/8
sin(Y) = opp / hyp = 8/17

what number is 10 times more than 8000

Answers

10*8000= 80,000

An easy way to multiply by 10 is to shift the decimal place over by 1 place value and add a 0 right before it.
80,000 (8,000 x 10= 80,000)

How do you write 120% as a fraction or mixed number in simplest form?

Answers

6/5 should be correct
The word 'percent' means 'for every 100' or 'per 100'. And the word 'per' can be the fraction line that separate the numerator and denominator. 

So, 120% can be read as '120 per 100'. [tex]\frac{120}{100}[/tex]

Simplify.

[tex]\frac{120}{100} = \frac{12}{10} = \frac{6}{5}[/tex]

Convert the improper fraction into a mixed number.

[tex]\frac{6}{5} = 1 \frac{1}{5}[/tex]

So, 1 1/5 is the answer.

solve for g 2/3+1/4g=-1/6

Answers

Allright so to solve for G you have to isolate the variable G, so multiply by 3/2 to both sides to get rid of 2/3 on the left side so you have 1/4g=-1/4 and then multiply by 4 to both sides to get rid of 1/4 of the left side so you have g=-1

Solve the system by the elimination method
6x+2y=-16
-x-3y=-16

Answers

eliminate y's
multiply first equation by 3 and 2nd by 2 and addd them

18x+6y=-48
-2x-6y=-32 +
16x+0y=-80

16x=-80
divide both sides by 16
x=-5
sub back

-x-3y=-16
-(-5)-3y=-16
5-3y=-16
-3y=-21
y=7

(x,y)
(-5,7)

A total of 822 tickets were sold for the school play. They were either adult tickets or student tickets. They were 72 more student tickets sold then adult tickets. How many adult tickets were sold?

Answers

822-72=750
750/2= 375 adult tickets sold

Thirty car pass through a certain toll booth each minute.at that rate,how many cars are expected to pass through the toll booth each half-hour

A 15
B 60
C 450
D 900

Answers

Answer:

the answer is d

Step-by-step explanation

correct on Edge

The answer is Option D)

The number of cars that are expected to pass through the toll booth each half-hour will be 900

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The number of cars that pass through the toll booth at each minute = 30

Let the number of cars to pass at each half-hour be A

1 hour = 60 minutes

half-hour = 30 minutes

So,

The number of cars to pass at each half-hour A =
The number of cars that pass through the toll booth at each minute x 30

The number of cars to pass at each half-hour A  = 30 x 30

                                                                         = 900 cars

Hence , The number of cars that are expected to pass through the toll booth each half-hour will be 900

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An item is regularly priced at $94. It is now priced at a discount of 30% off the regular price.

Answers

30% off an item would make that item valued at 70% of its original price

94 times 0.7 = 65.8

$65.80
30% of 94 is 94*0.3=28.2
94-28.2=65.8
The item is now priced at $65.8

What is the answer to 8ab-2b+ab-b

Answers

8ab-2b+ab-b
8ab+ ab= 9ab
-2b-b= -3b

Answer: 9ab - 3b
8ab-2b+ab-b
Combine like factors
9ab-3b

The volume of a cube is 27n^27 cubic units. What is the length of one side of the cube

Answers

volume of a cube = S^3

 volume = 27

cubic root of 27 = 3

each side is 3 units long


What value correctly fills in the blank so that the expressions are equivalent?
18 + 45 = ___ ´ (2 + 5)
-----------------------
2

3

7

9

Answers

63 = x(7)
9 = x

The answer is D) 9

Answer:

the answer is 9

Step-by-step explanation:

i just did it

Suppose you find six articles related to the topic of your research paper. In how many ways can you choose four articles to read? 30 15 720 360

Answers

This is a case of choosing objects from a set, where order matters.

The number of ways you can choose some objects from a set when order matters is called variations.

The formula of variations is:

Vm,n = m! / (m - n)!

In this case it is the selection of four articles from a set of six articles =>

V6,4 = 6! / (6-4)! = 6*5*4! / 4! = 6*5 = 30

Answer: 30

What is rhe name of the period that has the digits 751

Answers

The name of period that has 751 in the number is hundreds.
Because Period is considered to a group of places of the digits.

In this case, the given number is 751 and it is the group of hundred because 700 is the highest number it contains.

We can also write 751 as

751 = 700 + 50 + 1

It means,

7 hundreds + 5 tens + 1 ones

1.
(05.01 LC)
The graph below shows the height an elevator travels, y, in x seconds:



What is the rate of change for the relationship represented in the graph? (1 point)


A. 1/15
B.1/14
C.14
D.15

Answers

Hey there!

You can find the rate of change by taking any two points from your graph and plugging them into the following equation:

[tex] \frac{y_2-y_1}{x_2-x_1} [/tex]

Let's use the first two points you're shown from least to greatest. These are (0, 0) and (1, 15). 

Now, identify what number is which and plug them into your equation. The solution will be your rate of change. 

[tex]y_2 = 15 \\ y_1 = 0 \\ x_2 = 1 \\ x_1 = 0[/tex]

[tex]\frac{15-0}{1-0}[/tex]

[tex] \frac{15}{1} [/tex]

[tex]15[/tex]

15, or D, will be your answer. 

Hope this helped you out! :-)

The rate of change for the relationship represented in the graph is 15

What is rate of change?

The rate of change of a linear graph is the slope of the graph

From the graph, we have the following ordered pairs

(x,y) = (0,0) and (2,30)

So, the rate of change (m) is then calculated as:

[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]

This gives

[tex]m =\frac{30 - 0}{2 - 0}[/tex]

Evaluate the differences

[tex]m =\frac{30 }{2 }[/tex]

Evaluate the difference

[tex]m=15[/tex]

Hence, the rate of change is 15

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George has 9 more dollars than Frank, who has 3 more than Richard. What is the least amount of money that must be exchanged so that they each have the same amount of money?

I know the answer is $7 but is there a quicker way to do it instead of guess and check?

Answers

r+r+3+r+12

3r+15, let r=1

3+15=18, so we need each person to have 6

we know that g=12+1=13, f=3+1=4, r=1

So g must give away 7. f must take 2, and r must get 5

So 7+2+5=14 got exchanged in total.

But I can see that only $7 dollars was taken to be distributed to the other two as well.

What is the first step in proving that the sum of the measures of triangle XYZ is 180 degrees?

Answers

In geometry, the definition of a triangle is a two-dimensional closed figure with three sides. Aside from this, it is proven that the sum of the angles of a triangle is 180°. This is a triangle's innate property. Therefore, any closed shape with three sides is a triangle and it follows that the sum of the three angles is equal to 180°.

It is logical therefore, that the first step in proving this is by using the definition of a triangle.

Explain how you know the valúes of the digits in the number 58

Answers

The 5 is in the tens spot and the 8 is in the ones.
Look at chart. Plug in an 8 where it says ones, and the 5 where it says tens. Yeah?

Each level of a smartphone app adds more gems for you to match. On level one, there were 13 gems. On level twelve, there were 123 gems. When you complete all twelve levels, how many total gems will you have matched?

Answers

First find the rate or common difference if it exists.

(123-13)/(12-1)

110/11

10  So this essentially form an arithmetic sequence because each term is a constant difference with respect to the previous term.

The sum of an arithmetic sequence, in simplest terms, is the average of the first and last terms times the number of terms, in this case:

(12-1+1)(13+123)/2

12(68)

816

So the player will have matched 816 gems in total for the twelves rounds.


Answer:

816 is your answer

Step-by-step explanation:

What is number ll I'm in advanced math and this is the only one I don't know. I'm in the 7th grade and in 9th grade math please help me.

Answers

To solve this, we simply need to substitute in the value for x, and then solve like a normal fraction problem. The easiest way to solve for this is to turn both fractions into improper fractions, subtract the smaller value from the larger value, then make it negative.

2 4/5 - 1 1/5
14/5 - 6/5
8/5
-8/5

Now, we should turn it back into a mixed number.

-1 3/5

The value of this expression is -1 3/5 or -8/5.

You brought 1.5 dozen bagels to school. A dozen bagels cost $5.98. You used a coupon that took $1.00 off of the total. How much did you pay for the bagels?

Answers

1 dozen cost 5.98

 so 1.5 dozen cost : 5.98 x 1.5 = 8.97

 a coupon takes $1 off the price so

8.97-1.00 = 7.97

 they cost a total of $7.97

Answer:

$7.97

Step-by-step explanation:

multiply to find the total cost and then subtracting the coupon amount.

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