Simplify
Write your answer using only positive exponets.

Simplify Write Your Answer Using Only Positive Exponets.

Answers

Answer 1
Using the rule:

[tex]x {}^{n} .x {}^{m} = x {}^{n + m} [/tex]

Similarly:

[tex]x { }^{ \frac{1}{2} } .x {}^{ \frac{ - 1}{6} } .x {}^{ \frac{ - 5}{2} } = x {}^{ \frac{1}{2} - \frac{1}{6} - \frac{5}{2} } [/tex]

We have to achieve a common denominator which is 6 here:

[tex]x {}^{ \frac{3 - 1 - 15}{6} } =x {}^{ \frac{ - 13}{6} } [/tex]

To change our exponent to positive:

[tex]x {}^{ \frac{ - 13}{6} } = \frac{1}{x {}^{ \frac{13}{6}}} = \frac{1}{ \sqrt[6]{x {}^{13} } } = \frac{1}{x \sqrt[6]{x} } [/tex]


Related Questions

What is the standard form polynomial that represents this product? (-2m^3 + 3m^2 - m)(4m^2 + m - 5)

Answers

Answer:

-8m^5+10m^4+9m^3-16m^2+5

Step-by-step explanation:

PLATO

The standard form is ( -8m⁵+10m⁴+9m³-16m²+15m ).

What is an expression?

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

The expression will be solved as:-

E = ( 3m² - m )( 4m³ + m - 5 )

E = -8m⁵ - 2m⁴ + 10m³ - 15 m² - 4m³ - m² + 5m

E =  ( -8m⁵+10m⁴+9m³-16m²+15m ).

Therefore, the standard form will be ( -8m⁵+10m⁴+9m³-16m²+15m ).

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Mike can run 1/2 mile in 1/15 of an hour. How many miles can mike run in 1 hour?
i need answer fast

Answers

If he runs 1/2 in a 1/15, you would say he can run a mile in 2/15. 14/15 is 7 miles and 1/15 left over so he can run 7 1/2 miles in an hour. Hope this helps!

On Monday, Jolene played basketball and made 75% of the shots she took. If she missed 7 shots, how many shots did she take? Show your work.​

Answers

Answer:

She took 28 shots, 7 shots would be the remaining 25% so you multiply it by 4 to get 100% or 7 × 4 = 28

missed shots = 7 = 25%             since 75% are successful

proportionality table

25% ...............7

100% ........... = 7 x 100% : 25% = 28

total = 28 shots

Please help asap! I will gave brainlest!

Answers

Step-by-step explanation:

[tex] \tan(x) \csc {}^{2} (x) - \tan(x) [/tex]

[tex] \tan(x) ( \csc {}^{2} (x) - 1)[/tex]

[tex] \tan(x) ( \cot {}^{2} (x) [/tex]

[tex] = \tan(x) \cot(x) \cot(x) [/tex]

[tex]1 \cot(x) [/tex]

[tex] = \cot(x) [/tex]

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Answers

Answer:

the last one

Step-by-step explanation:

There are 27 marbles in a blue jar. The blue jar has 9 times as many marbles as a red jar. Let n be the number of marbles in the red jar.

Answers

Answer:

n = 2.7

Step-by-step explanation:

Set up an algebraic expression: 9n + n  = 27Combine like terms: 10n = 27Divide each side by 10 to cancel out the 10 next to n. It should now look like this: n = 2.7

I really hope this helps!

Sally puts $200.00 in a bank account. Each year the account earns 8% simple interest. How much interest will be earned in three years? A $16.00 B $24.00 C $48.00 D $160.00 ​

Answers

Answer:

D

Step-by-step explanation:

I need help I didn't pay attention in class now I am lost.

Answers

Who fault is that ?

A home run is hit in such a way that the baseball just clears a wall 15.0 m high, located
152 m from home plate. The ball is hit at an angle of 34.0° to the horizontal, and air
resistance is negligible. Assume that the ball is hit at a height of 1.00 m above the
ground. Use significant figures in your final answer and show your work.
a. Find the initial speed of the ball. {8 Points}

Answers

Hang on I am figuring it out

Given f(x)=6(1-x what is the value of f(-8)

Answers

Answer:The value of f(-8)=54

Step-by-step explanation:

you do the stuff in the parentheses first. When you subtract a negative number you actually add that number So it's 6 (1+8) 1+8=9. 6(9)=54

If 2 pints = 1 quart, how many pints are in a 26-quart container

Answers

There are 52 pints in 26 quarts containers

Answer:

52 pints

Step-by-step explanation:

Given;

2 pints = 1 quart

To Find;

How many pints are in a 26-quart container

Solve;

Since 2 pints = 1 quart

Then the Formula = divide the volume value by 2

The equation for 2 pints = 1 quart is 2 ÷ x = 1

which x = 2.

Thus, the equation for 26 quart container = how many pints =

x ÷ 2 = 26

Divide/Multiply sides by 2

2x/2 = 26 * 2

Simplify

x = 52

Hence, there are 52 pints in a 26 quart container

~Learn with Lenvy~

Sammy is making a Cartesian plane in math class. She needs to draw all of the quadrants. How many quadrants are in a Cartesian plane?

Answers

Answer:

4

Step-by-step explanation:

There is 4 quadrants in a Cartesian Plane.

can someone please explain? lol

Answers

Answer:

10.235 in²225 cm²

Step-by-step explanation:

The area of a triangle is half the product of its base and height.

  A = 1/2bh

a)

  A = 1/2(2.3 in)(8.9 in) = 10.235 in²

__

b)

  A = 1/2(15 cm)(30 cm) = 225 cm²

You lose track of how many 2-point baskets and 3-point baskets a team makes in a basketball game. The team misses all the 1-point baskets and still scores 54 points. The equation 2x+3y=54$ models the total points scored, where x is the number of 2-point baskets made and y is the number of 3-point baskets made. a. Find and interpret the intercepts.

Answers

Answer:

x-intercept: 27, the number of 2-pointers if no 3-pointersy-intercept: 18, the number of 3-pointers if no 2-pointers

Step-by-step explanation:

Each intercept is found by setting the other variable to zero and solving for the variable value of interest.

  2x +3y = 54

x-intercept:

  2x = 54

  x = 27

y-intercept:

  3y = 54

  y = 18

__

By definition, the intercept values are the values that satisfy the equation when the other variable is zero.

x-intercept: To score 54 points, the team would have to make 27 2-point baskets if no 3-point baskets were made.

y-intercept: To score 54 points, the team would have to make 18 3-point baskets if no 2-point baskets were made.

A package of 5 pairs of insulated gloves costs ​$43.95. What is the unit price of the pairs of gloves​?

Answers

Answer:

5.89 dollars

Step-by-step explanation:

To find the unit price, we use t/q where t is the total price and q is the quantity.

Therefore, it costs 5.89 dollars for a pair of gloves.

The unit price of the pair of gloves will be $8.79 for each pair of gloves.

What is the rate?

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

A package of 5 pairs of insulated gloves costs ​$43.95. Then the unit price of the pairs of gloves is calculated as,

Rate = $43.95 / 5

Rate = $8.79 for each pair of gloves

The unit price of the pair of gloves will be $8.79 for each pair of gloves.

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Simplify by combining like terms. 8a3 + 9t + 7a3 + 6t + 8a2

Answers

The answer is 15a3+8a2+15t

Step-by-step explanation:

8a3 + 9t + 7a3 +6t + 8a2

8a³+7a³+8a²+9t+6t

15a³+8a²+15t

thanks again everyone ​

Answers

Answer:

5 gallons

conversion:

2 cups → 1 pint2 pints → 1 quart 4 quarts → 1 gallon

we have here total 80 cups.

2 cups → 1 pint

80 cups → 40 pints

Then convert it into quartz

2 pints → 1 quart

40 pints → 20 quartz

Then convert quartz into gallons

4 quarts → 1 gallon

20 quartz → 5 gallons

You are making a blanket with a fringe border of equal width on each
side. (Section 7.1 and Section 7.2)

Answers

Answer:

Step-by-step explanation:

What is 0.801 in words?

Answers

Answer:

How to Write Out Number 0.801 in Words: eight hundred one thousandths in (US) American English, Number Converted (Spelled Out) to Words.


Jim is putting money into a savings account. He starts with $350 in the savings account, and each week he adds $60.
Let S represent the total amount of money in the savings account in dollars), and let W represent the number of weeks Jim
has been adding money. Write an equation relating Sto W. Then use this equation to find the total amount of money in the
savings account after 16 weeks.
Equation:
Check
Save For Later
Submit Assignment
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Answers

Answer:

S= 350+60w

Step-by-step explanation:

Chris bought 39 items at a yard sale for $9.75 each. About how much did he spend in all? (Use estimation)

Answers

Answer:

$390

Step-by-step explanation:

If you are going to estimate, you should round to the nearest one (for a whole number answer), so we would round $9.75 to $10.

39*$10 = 390

Estimate: $390

Exact answer: $380.25
(if you need it)

What is the product? (x+3)(2x-1)

[tex] {2x}^{2} - 3[/tex]
[tex] {2x}^{2} + 6x[/tex]
[tex] {2x}^{2} + 5x - 3[/tex]
[tex] {2x}^{2} + 6x - 3[/tex]

Answers

Step-by-step explanation:

x(2x-1)+3(2x-1)

2x^2-x+6x-3

2x^2+5x-3

Answer:

2x^2+5x‒3

Step-by-step explanation:

(x+3)(2x‒1)=x(2x‒1)3(2x‒1)

=2x^2‒x+6x‒3

=2x^2+5x‒3

i hope &i wish it helps you

Subtracting a number is the same as adding it’s opposite. Use the his understanding to complete each of the equations below.

Answers

Do you have the problems that need completing?

Evaluate -4|-4|.
0-8
8
16
-16

Answers

9514 1404 393

Answer:

  -16

Step-by-step explanation:

The absolute value function gives the positive value of the argument, so this is ...

  -4|-4| = -4·4 = -16

Classify each expression by degree and by number of terms. Some answers may be used once and some way not be used at all so make sure you read carefully

Answers

Answer:

899

Step-by-step explanation:

+

which describes the graph of y=-(x+1)^2-4? a. minimum at (-1,-4) b. maximum at (1,-4) c. maximum at (-1,-4) d. minimum at (1,-4)

Answers

Answer:

c. maximum at (-1,-4)

Step-by-step explanation:

just took a quiz

The graph has its maximum at (-1, -4).

y=-(x+1)^2-4
Maximum of the equation is to determine.

What is a parabola?

A cross section  of the cone and represented by an equation y=4ax^2.

Here,
y=-(x+1)^2-4
While plotting the curve, the curve is maximum at (-1, -4) beside this point curve  is decreasing.

Thus , the graph has its maximum at (-1, -4).

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Which graph correctly represents f (x) = 3  ?
2

Answers

Answer:

I can't read some of the problem

tHanks again everyone ​

Answers

Let's solve

[tex]\\ \rm\rightarrowtail x+2<-3[/tex]

[tex]\\ \rm\rightarrowtail x<-3-2[/tex]

[tex]\\ \rm\rightarrowtail x<-5[/tex]

So

there is a open dot present over -5Less than means left side onwards

Option B

7. The graph was made to compare the costs of renting copy machines
from Ames Business Product to those from Beck's Office Supply. What
information is given by the point of intersection of the two lines? *

Answers

The information given by the point of intersection of the two lines is (d) the number of copies for which the total cost per month is the same for both companies

How to interpret the point of intersection

The point of intersection is the equilibrium point of both companies.

This means that, the point represents where the number of copies and the total cost per month for both companies is equal

Hence, the information given by the point of intersection of the two lines is (d)

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Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price $40.00 Rate of Sales Tax 3% Sales Tax ?

Answers

Answer:

tax: $1.20total cost: $41.20

Step-by-step explanation:

The sales tax is found by multiplying the tax rate by the item price. The total cost will be the sum of the item price and the tax.

__

  tax = 0.03 × $40 = $1.20

  total cost = selling price + tax = $40 +1.20 = $41.20

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