A little confused here!

Hey guys. I just need someone's help to clarify things with me.

As I was doing the equations, I got to:

x^-1
-----
x^13

I moved the x^-1 down to x^13 so they'd subtract. But when I did, x^-1 became positive.

So it became x^13 times x^1

Radical Rule: a^n x a^m is pretty much a^n+m

So my answer was 14.

How did x^-1 become positive in this case?

A Little Confused Here!Hey Guys. I Just Need Someone's Help To Clarify Things With Me. As I Was Doing

Answers

Answer 1

Step-by-step explanation:

Given [tex]\frac{x*x^{-2} }{x^{13}}[/tex]

= [tex]\frac{x*x^{-2} }{x^{13}} = \frac{x^{-1} }{x^{13}}[/tex]

According to the Negative Exponent Rule, [tex]a^{-n} = \frac{1}{a^{n}}[/tex]

Therefore, [tex]\frac{x^{-1} }{x^{13}} = \frac{1}{x^{1}*x^{13}} = \frac{1}{x^{13+1}}= \frac{1}{x^{14}}[/tex]

In other words,  [tex]x^{-1}[/tex] became positive because of the Negative Exponent Rule. Once you bring [tex]x^{-1}[/tex] down towards the denominator, you're essentially removing its negativity and turning its exponent into a positive value. Once that takes place, then you could apply the Product Rule of Exponents onto the exponents in the denominator, where it states, [tex]a^{m}a^{n} = a^{m+n}[/tex].

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Related Questions

A parking lot is 400 yards long and 300 yards wide. If you make it 10 inches long, how wide should it be?

Answers

400 yards = 14,400 inches
300 x 36 = 10,800 yards wide

The amount of cleaning solution a company fills its bottles with has a mean of 33fl oz and a standard deviation of 1.5fl oz The company advertises that these bottles have 32fl oz, of cleaning solution.

Answers

Answer:

Mean: 30 mL

Standard Deviation: 45mL

Step-by-step explanation:

Evaluate a1 (r)^n-1 for a1 = 2, r= 3, and n = 4.
A. 216
B. 18
C. 32
D. 54

Answers

Answer:

[tex]54[/tex]

Step-by-step explanation:

[tex] a_1 {r}^{n - 1} \\ 2 \times {3}^{4 - 1} \\ 2 \times {3}^{3} \\ 2 \times 3 \times 3 \times 3 \\ 2 \times 9 \times 3 \\ 18 \times 3 \\ = 54[/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

what would the coordinates (10,-3) lie on?

Answers

(10,-3) is on the IV plan :)

what is 2,665 divided by 36 witha remainder?

Answers

74  R28

So sorry if its incorrect!

how do you solve the following equation?

10-s=34

Answers

Answer:

-24

Step-by-step explanation:

10-s=34

collect like terms

10-34=s

s=-24

ILL GIVE BRAINLY, HELP IF YOU ARE INTERESTED. THANK YOU

Answers

Answer:

First box is 7x + 21, because when you distribute, you are multiplying the term on the outside of the paranthesis with the term(s) on the inside of the paranthesis.

Second box is 21 + 7x, because the communitive property is basically the same except the terms may be flipped. (Nothing else is different, all terms and signs stay the same, and has the same product/answer.)

Step-by-step explanation:

Hope this makes sense.

Please tell me if I'm wrong :)

Answer:

wrong you for the points you bozzo

X/4=-5/20
Algebra
Solve for x

Answers

Answer:

Algebra =

X/4 = -5/20

Simplify :

X/4 = -1/4

Of course, Will same x/4 = -1/4

Answer : X = -1

x = -1

Step-by-step explanation:

[tex]\begin{aligned}\tt\frac{x}{4}&=\tt\frac{-5}{20}\\\tt 20x&=\tt -5\times 4\\\tt 20x&=\tt -20\\\tt x&=\tt -1\end{aligned}[/tex]

A tennis player hits a ball hard and 0.4 s later hears the echo sound from a wall. The speed of sound in air is 330 ms. How
?far away is the player from the wall

Answers

The distance traveled by the echo is used to determine the player's distance from the wall

The player's distance from the wall is 66 m.

Reason:

Known parameter;

The time after which the tennis player hears the echo of the ball, t = 0.4 s

The speed of sound in air, v = 330 m/s

The distance of the player from the wall = Required

Solution:

Let d, represent the distance of the player from the wall

An echo is the reflection the wave of the sound of hitting the ball that

travels to the wall and back

The distance traveled by the sound to the wall, d, and back, (d again), is 2·d

[tex]Speed = \dfrac{Distance}{Time}[/tex]

Therefore;

[tex]The \ speed \ of \ the \ sound,\ v = \dfrac{2 \cdot d}{t}[/tex]

Therefore;

[tex]330 = \dfrac{2 \cdot d}{0.4}[/tex]

330 × 0.4 = 2·d

[tex]d = \dfrac{330 \times 0.4}{2} = 66[/tex]

The distance of the player from the wall, d = 66 m

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Find the standard deviation of the given data rounded to the nearest hundredth.3, 4, 5, 7, 10, 12, 15

Answers

Answer:

4.140393356

Step-by-step explanation:

Mean = (3+4+5+7+10+12+15) / 7 = 8

Count = 7 numbers

Sum of the numbers = 56

Each number minus the mean =

(3-8=-5)(4-8=-4)(5-8=-3)(7-8=-1)(10-8=2)(12-8=4)(15-8=7)

Now square of each of these numbers:

25+16+9+1+4+16+49 = 120

Variance = 120/7 = 17.14285714

Standard deviation = square root of the variance

Sqrt 17.14285714 = 4.140393356

Solve using the square root method X2=25

Answers

Answer:

Square root =

remember :

[tex]\boxed {x^2 = \pm a}[/tex]

x² = ± a

x = ña

.

x = ñ25

x = ±5

• x = 5 and -5

x^2=25
sqrt x^2= sqrt 25
x=5

one of the root of the quadratic equation x²-(4+p)x+12=0 is three time the other find the root of the equation​

Answers

Answer:

it should be p=14,x=16,12

The roots of the equations are 2 and 6.

What is a quadratic equation?

The equation of the form ax² + bx +c is known as a quadratic equation.

Given that, the quadratic equation is x² - (4 + p)x + 12= 0.

Let the roots of the quadratic equation be a and b.

If the coefficient of x² is 1 in a quadratic equation, then the coefficient of x is equal to the sum of the roots and the constant term is equal to the product of the roots.

Therefore,

a + b = -(4 + p)    (1)

ab = 12                (2)

Given that, one root is three times the other, so, let a = 3b and substitute it into equation (2)

3b(b) = 12

3b² = 12

b² = 4

b = 2

Therefore, the value of a is:

a= 3(2)

a = 6

Hence, the roots of the equations are 2 and 6.

Learn more about the quadratic equations:

https://brainly.com/question/17177510

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16 teams of hockey are playing. each team plays two matches against another team. how many matches are played

Answers

Answer:

240

Step-by-step explanation:

54 in. to 5ft write a ratio and fraction needs to be in lowest terms

Answers

Answer:

Step-by-step explanation:

54/5=10 4/5

A dairy needs 396
396
gallons of milk containing 6%
6
%
butterfat. How many gallons each of milk containing 8%
8
%
butterfat and milk containing 2%
2
%
butterfat must be used to obtain the desired 396
396
gallons?

Answers

Answer:

pop music of 90

What is 504,622 + 715,336?

Answers

Answer:

1,219,958

Step-by-step explanation: You add 2+6=8 + 10+3=13 + 19+3=22 + 26+5=31 + 31+1=32 + 5+7=13, add them all and its equal to 1,219,958.

SOMEONE HELP PLZ 20 POINTS

JUST NEED HELP IN THE LAST 4

Answers

Answer:

the last one is

four cubed plus 8 to the 4th power

4^3 + 8^4

4160

Step-by-step explanation:

Joy is preparing 15 liters of 25% saline solution. She
only has 40% and 10% solution in her lab. How many liters of
the 10% should she mix to make the 25% solution?

Answers

Answer:

10 liters of 40% solution

10 liters of 10% solution

48 times 25 in distributive property​

Answers

Answer:

1200

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST!!!!!

Tell me pls but pls no files

Answers

Answer:

I think its A

Step-by-step explanation:

Somebody Help please !!!!!!

Answers

Answer:

The image is blocked

Step-by-step explanation:

HELPPP PLEASE I GIVE BRAINLIEST

Answers

Answer: 1/2

Step-by-step explanation:

55 is close to 50

99 is close to 100

55/99 is close to 50/100 = 1/2

Using a calculator, 55/99 = 0.556 approximately which rounds to 0.5 = 1/2

Answer:

1/2

Step-by-step explanation:

55/99 = 0.555

0 = 0

1/2 = 0.5

1  = 1

1 1/2 = 1.5

Hopefully this helps!

Brainliest please?

NO LINKS OR ASSESSMENT!!

Write a rule to describe each transformation. Part 5

Answers

Answer:

(x, y) → (x + 3, y + 6)

Step-by-step explanation:

This is a translation up and right.

Compare the coordinates of corresponding points:

X(-5, -3) and X'(-2, 3)

The difference of coordinates:

-2 - (-5) = 33 - (-3) = 6

The rule:

(x, y) → (x + 3, y + 6)

The Campbells are saving up to go on a family vacation in 5 years. They invest $2800
into an account with an annual interest rate of 1.46% compounded monthly. Assuming no withdrawals are made, how much money is in the Campbells' account after 5 years?

Answers

Answer:

look at the explanation 20,440

Step-by-step explanation:

so the invested 2,800 $  and the interest rate is 1.46 so first what I would do is 1.46 times 5 = 7.3 then 7.3 x 2,800 =20,440

so I think the answer is 20,440

not sure if this is correct but I gave it my all

or you could just do 2800 time 5 time 1.46

someone help me pls

Answers

the answer is 33 because 3+3=6*10-35+2

When you multiply or divide a positive and a negative number you get a _________

Answers

Answer:

You also have to pay attention to the signs when you multiply and divide. There are two simple rules to remember: When you multiply a negative number by a positive number then the product is always negative. When you multiply two negative numbers or two positive numbers then the product is always positive.

Step-by-step explanation:

a student sketched some art on an 8 inch x 10 inch piece if paper he wants to resize it to fit an 4 inch x 6 inch frame. What percent of the original sketch was still able to be included?

Answers

The picture is originally 11 inches wide by 8.5
inches tall. It gets scaled down to a new width of 7 inches. We need to find the new height. To do this, we write a proportion:

8.5/11=x/7

Cross multiply:
11x = 59.5

Divide:
X = 5.41

The size of the picture is 5.41" x7", but the size of the frame is 5" x7". The part of the picture's area that is included in the frame is:
(5 × 7) / (5.41 × 7)
= 5/ 5.41
= 0.924

92.4% of the picture is inside the frame.

******Please help me please help me help please help*****

Answers

Answer:

sorry

Step-by-step explanation:

sorry

1 gallon can of paint for $13.99 and 5 gallon bucket of paint for $67.45. Which one is cheaper

Answers

the 5 gallon
i hope this helps

Answer:

the 5 gallon

67.45 ÷ 5= $13.49

SORMONE PLEASE HELP ME!! ASAP ILL MARK BRAINLIEST!!!

Answers

Answer:

B. x=4

Step-by-step explanation:

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