You can
apply the rules of exponents to the problem in BOTH radical form and rational exponent
form true or false

Answers

Answer 1

Answer:

When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^½. In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.For the denominator, that deals with the radical. The index, to be exact. The index describes what kind of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3).^^^Exponential fractions still follow the same rules of simplifying, so...

x^2/4 = x^1/2 = sqrt(x)

Step-by-step explanation:

When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^1/2

Now, how to go about doing this:

In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.

For the denominator, that deals with the radical. The index, to be exact. The index describes what KIND of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3). Here are some more examples to help you understand a bit more:

x^6/5 = Fifth root of x^6

x^3/1 = x^3

^^^Exponential fractions still follow the same rules of simplifying, so...

x^2/4 = x^1/2 = sqrt(x)


Related Questions

which quanity is proportional to 5/25

Answers

Answer:

1/5

Step-by-step explanation:

sin⁻¹(-[tex]-\frac{\sqrt{3} }{2}[/tex]

Answers

Answer:

240,300

[tex] \frac{4\pi}{3} . \: \: \frac{5\pi}{3} [/tex]

Number Relationships
Find the unknown number in the group to make related multiplication
and division sentences. Write the multiplication and division sentences.
4, ?,68

Answers

Answer:

17

Step-by-step explanation:

the unknown number needs to be a number that is associated with the minimum and maximum numbers. 17 is four times the minimum number plus 1 and 17 is four times the amount of. 17 to equate to 68.

A glass block window is made of two different-sized glass squares. The window has side lengths of 40 inches. The large glass squares have side lengths of 10 inches. Find the total area of the small glass squares?

Answers

Given,

A glass block window is made of two different-sized glass squares.

The window has side lengths of 40 inches. The large glass squares have side lengths of 10 inches.

40 × 10 = 400

The area of the table should be
10 ft2. You want the length of the table to be 1 ft shorter than twice its width.
What should the dimensions of the table be?

Answers

Answer: width : 2.5 ft. and length : 4 ft.

Step-by-step explanation:

The area = W × L

[tex]10=W(2W-1)[/tex]

[tex]10=2W^{2} -W[/tex]

[tex]0 = 2W^{2}-W-10[/tex]

[tex]0=(2W-5)(W+2)[/tex]

W = 2.5 and -2

You can't use -2 so

[tex]L = 2(2.5)-1[/tex]

[tex]L = 4[/tex]

please give me a brainliest answer

Solve the compound inequality. -2x<-10 and x-3<4​

Answers

Answer:

x > -7/12. This is the answer to this question.

When twelve is added to eight times a number, the result is one hundred and fifty. Find the
number.

Answers

Adding twelve eight times is the same as 12 x 8 which is 96

x + 96 = 150

To find 150, subtract 96 from both sides

x = 150 - 96
x = 54

Solve : (6a -5b -8c) - ( 15b + 2a - 5c)

Answers

Answer:

4a - 20b - 3c

Step-by-step explanation:

6a - 5b - 8c - 15b - 2a + 5c

= 4a - 20b - 3c

I HOPE IT WILL HELP YOU.

Thank you.

I HOPE YOUR DAY GOES GREAT.

how to solve 5 divided by 2545

Answers

2545 divided by 5 is 509

what is 5/8 - 1/2 ??

Answers

Answer:

1/8

Step-by-step explanation:

First convert 1/2 to eighths:

1/2 = 4/8

5/8-4/8= 1/8

Hope this helps! :)

The length of a marathon race is 26 miles 385 yards. What is the total length of the marathon
race in yards?
Plz help

Answers

Answer:

46,145

Step-by-step explanation:

26x1760= 45,760 + 385= 46,145

The total length of the marathon race in yards when the length of a marathon race is 26 miles 385 yards, is 46145 yards.

How to measure the length?

Length measurement is the measurement of the size of an object. The units of length measurement are meter, feet, yards etc.

Yards-This unit is used when the size of a small space has to measure, such as length of bed, ladder etc. There are total 1760 yards in one mile.Miles-This is the basic unit of length measurement of size. The size of roads, distance between two cities are measured in miles.

The length of a marathon race is 26 miles 385 yards. As there are total 1760 yards in one mile. Thus, the total number of yards in 26 miles is,

[tex]26\times1760=45760[/tex]

Now, he races for 385 yards along with 26 miles. Thus, the length of marathon is,

[tex]45760+385=46145\rm\; yards[/tex]

Thus, the total length of the marathon race in yards when the length of a marathon race is 26 miles 385 yards, is 46145 yards.

Learn more about the length measurement here;

https://brainly.com/question/777464

#SPJ2

Which is 14 divided by 0.50?​

Answers

14÷0.50

=28

Hope this helped you- have a good day bro cya)

It should be 28................

How many dots are in the 5th step?

Answers

Answer:

add 5 + 4, which is 9 and that's 81 dots

At its peak, an online shopping site was selling about 420 items per second. At this rate, how many items would it sell in 30 minutes ( 1,800 seconds)?

Answers

756,000

You multiply the number of items by the number of seconds

Answer: 758,000

Step-by-step explanation:

Expression: 420 x 1,800

Basically just find the number of seconds and since every second 420 items are sold just multiply 420 x number of seconds which is 1,800

Which of the following equations represent linear functions?

Answers

Answer:

a

Step-by-step explanation:

a linear function have a shape of y=ax+b

y=8x-3 is linear where a=8 and b=-3

Answer: y = 4(2x) - 3

Step-by-step explanation: Linear functions are typically in the form y = mx + b. Out of the 4 choices, only the first one, (y = 8x - 3 when distributed) is in this form.

A.-8
B.12
C.-20
D.32

Answers

Answer:

C. -20

Step-by-step explanation:

Step 1: [tex]\frac{mn}{p}[/tex] + (-n)  Write down equation

Step 2: [tex]\frac{2(12)}{-3}[/tex] + (-12)   insert values into equation

Step 3: [tex]\frac{24}{-3}[/tex] - 12 Simplifying fraction and parentheses

Step 4: -8 - 12 Simplifying fraction 24/-3 = -8

Answer: -20

One printing machine printed 700 books in 40 hours this week. A second printing machine printed for
25 hours this week but printed books twice the hourly rate of the first machine. How many books did the
second machine print this week?

Answers

Answer:

875 books

Step-by-step explanation:

1st machine 700 books/40 hours = 17.5 books/hr

2nd machine printed 2x or 35 books/hr

25 hours x 35 books/hr = 875 books

1 * w^3
how do you multiply these together

Answers

9514 1404 393

Answer:

  w^3

Step-by-step explanation:

The multiplicative identity element is 1. That means 1 times anything is just that thing.

  1 × w^3 = w^3

_____

Additional comment

That is one of the reasons why a coefficient of 1 is (almost) never shown.

In algebra, multiplication can be indicated a number of ways.

  ab . . . . placing values next to each other (sometimes with a small space)

  (a)(b) . . . . placing values next to each other with either or both in parentheses

  a·b . . . . . using a multiplication symbol between the values.

There are several different multiplication symbols in common use:

  * — asterisk

  · or • — centered dot

  × — centered "x" multiplication symbol

  x — the lower-case letter x (when it cannot be confused with a variable)

  . — a period (when it cannot be confused with a decimal point). This is uncommon in the US, but is seen occasionally when some of the other symbols are not available. It is more common outside the US.

_____

The multiplication of a constant and a variable expression cannot actually be accomplished. It can only be "indicated." If you wanted to multiply 2*w^3, that product would be indicated in any of the ways described above. Perhaps the simplest and least-confusing to most people is ...

  2w^3

Multiplying 1*w^3 can be indicated the same way: 1*w^3. In view of the special treatment given to a coefficient of 1, we would not simplify this to

  1w^3

Rather, we would simplify it to ...

  w^3

Which equation describes a relationship such that x = 0 must be excluded from the domain?

Answers

Answer:

Example: f(x) = (1 + x + x^2) / x, x=0 is excluded from the domain, since division by zero is undefined.

Step-by-step explanation:

This is because it only has an x-intercept and does not intersect they-axis. Vertical lines cannot be written in standard form because the slope is undefined. The equation of the line is given by the x-intercept of the line. In this case x=0 goes though the origin (x=0), which means this is the equation of the y-axis

Question 3 options: A school is preparing a trip for 400 students. The company who is providing the transportation has 10 buses of 50 seats each and 8 buses of 40 seats, but only has 9 drivers available. The rental cost for a large bus is $800 and $600 for the small bus. Calculate how many buses of each type should be used for the trip for the least possible cost. Let L

Answers

Answer:

8

Step-by-step explanation:

Simplify the radicals below.

Answers

Answer:

2(∛6 )

Step-by-step explanation:

∛12 × ∛ 4 = [tex]\sqrt[3]{12*4}[/tex] = ∛48 =  [tex]\sqrt[3]{2^{3} *6}[/tex] = 2(∛6 )

6
LA
3
2
1
-6
-5
-4
-3
-2
- 1
1
2
3
4
- 1
N-
-2
What is the slope of line segment AB?
A
NIN
B)
3
4
o
4
3
D
IN

Answers

Answer:)

Step-by-step explanation:

15. A skier descends at a rate of 6 feet per second. What is the change in
elevation after one minute? *
Your answer
help

Answers

Answer:

After one minute they would've descended 360 feet

Step-by-step explanation:

fill in the table using the function rule. Y=2x-1​

Answers

Answer:

what table?

Step-by-step explanation:

BRAINLIEST PLEASE !!!!!!!!!!!!!!!!!!

6 miles in 2 hours how fast you go

Answers

Speed is presented as miles per hour (mph) or kilometres per hour (kmph). To take the above example: You walk 6 miles in 2 hours. 60/20 = 3mph.

Answer: 3mph
You would be going 3mph

simplify the expression.

-1 (x+9)

Answers

Answer:

-x-9

Step-by-step explanation:

-1(x+9)

(-1)(x) + (-1)(9)

(-x) + (-9)

-x-9

Answer:

-9x

Step-by-step explanation:

(x+9)=(9x) and then

9x x -1

-9x is the answer

what is the slope between these 2 points?
(-4,5) and (2,1)

-3/4
-2/3
3/8
-1/5

Answers

Answer:

b

Step-by-step explanation:

y2-y1/x2-x1

memorize this formula so you always know slope for 2 points given.

y is the second number in parentheses.

whichever you choose as y2 or y1, the x values will match those numbers as well.

(y2-y1) = (1-5)

(x2-x1) = (2+4)

(-4)/6

-2/3

The surface area of a piece of paper is 345 cm2. Use the fact that 10 mm = 1 cm to convert this area to mm2

Answers

Step-by-step explanation:

345cm²=34500mm²

:;

cm in mm(*10)

cm² in mm²(*100)

cm³ in mm²(*1000)

I'd appreciate the brainliest

16. A craft shop sold 150 pillows. Small pillows were $6.50 each and large pillows were $9.00 each. If the total amount collected from the sale of these items was $1180.00, what is the total number of each size pillow that was
sold?

Answers

Answer:

82 large pillows, 68 small pillows

Step-by-step explanation:

Suppose all pillows sold were small pillows:

150×$6.50=$975

$1180-$975=$205

$9-$6.50=$2.50

$205÷$2.50=82 (no of large pillows sold)

No. of small pillows sold

=150-82

=68

Calvina Miller makes a car payment of $214.50 every month. Her car
loan is for 5 years. How much will she pay in 5 years?

Answers

12,870 dollars. Let me know if you want me to show my work.
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