Can someone please explain how to simplify expressions that have negative and positive exponents

Answers

Answer 1

Answer:

see below, I hope it's helpful

Step-by-step explanation:

Simplifying expressions...

1. use as many steps as you need, don't take shortcuts or try to do too much in one step... only touch each item in the expression once at most at each step

2. Follow PEMDAS

3. consider some of the rules of exponents: (a/b)^n = (a^n)/(b^n) and (x)^(-n) = 1/(x^n) and a^(b^c) = a^(bc)

examples x^(-4) = 1/(x^4)

                3^(-x) = 1/(3^x)

                (2/x)^(-n) = (1/(2/x))^n = (x/2)^n

                 2^(-x^3) = 2^(-3x) = 1/(2^3x)

so for example

2^(-x) - (x)^(-n) + (-n)^(x^(-2)) touch each part only once, do what you can

1/(2^x) - 1/(x^n) + (-n)^(-2x) the third part needed two steps, so be it

1/(x^n) - 1/(x^n) + (1/((-n)^2x)


Related Questions

Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments?

Answers

285 is the answer to be correct

Which equation represents circle A?
(x – 4)2 + (y + 5)2 = 12
(x + 4)2 + (y – 5)2 = 12
(x – 4)2 + (y + 5)2 = 36
(x + 4)2 + (y – 5)2 = 36

Answers

Answer:

c on edge

Step-by-step explanation:

just took the quiz

The equation representing the circle A is (x – 4)² + (y + 5)² = 36.

What is circle?

A circle is a spherical shape without boundaries or edges. A circle is a closed, curved object with two dimensions in geometry.

The general equation of circle is given by equation

( x - h )² + ( y - k )² = r²

Where,  ( h, k ) is the centre and 'r' is the radius.

As, the circle has a shift of 4 units on the +x axis.

The circle has a shift of the 5 units on the -y axis.

As, the circle has a radius of 6 units from the graph.

So, (h,k) = (4, -5).

Substitute the values of (h,k) in the general equation of the circle.

( x - 4 )² + ( y - (-5) )² = 6²

( x - 4 )² + ( y + 5 )² = 36

Therefore, the equation of circle becomes ( x - 4 )² + ( y + 5 )² = 36.

To know more about the general form of equation of circle, here

https://brainly.com/question/1506955

#SPJ2

Find the real solutions to the nearest hundredth.

Answers

Answer:

14: x=-3.00             15: x=-0.41

Step-by-step explanation:

(x+5)^4=16

x+5=16^(1/4)

x+5=2

x=-3

(x-2)^3=-14

x-2=(-14)^(1/3)

x-2=-2.41

x=-0.41

Finding which number supports the idea that the rational numbers are dense in the real numbers?

Answers

Answer:

an integer between –11 and –10

a whole number between 1 and 2

a terminating decimal between –3.14 and –3.15

Step-by-step explanation:

What is the slope of the line?

Answers

Answer:

2

Step-by-step explanation:

from (0,1) to (1,3)

is up 2 over 1

2/1=2

hope this helps!

What is the measure of arc AC? Pls explain and I will mark brainliest!

Answers

Answer:

D. 146°

Step-by-step explanation:

Arcs in the circle sum to 360°

Arc AB = 2*∠C = 2*(48°) = 96°Arc BC = 138° - givenArc AC = 360° - (96° + 118°) = 146°

Lines De and AB are parallel.
D
C
E
B
А
Which angles represent alternate interior angles?
angles A and C
angles B and D
angles C, D, and E
angles B and C

Answers

Answer:

option 2

angles B and D are the alternate interior angles

lines DE and AB being parallel lines and and line BC being the transversal

Answer:

The answer is B and D

Step-by-step explanation:

Confirmed

I need help please will mark you as brainliest

Answers

Answer:

178 correct problems

Step-by-step explanation:

turn the percentage into a decimal (0.89) and multiply it by the number of questions

Answer: 178

Step-by-step explanation:

89% x 200. Change percent to decimal by moving the decimal to the left two places.

.89 x 200 = 178

Sara buys a sweater at a department store. The sweater costs $3030. The store is having a 2525% off sale on everything in the store.

​Enter the amount of money, in dollars, Sara saves from the sale. Do not consider the sales tax.

Answers

Answer:

25% of 3030 is 757.5, so basically she is saving 757.5 dollars

6) Two boats set off from X at the same
time (below). Boat A sets off on a bearing of 325° and with a velocity of
14 km/h. Boat B sets off on a bearing of 2350 with a velocity of 18 km/h.
Calculate the distance between the boats after they have been travelling
for 2.5 hours. Give your answer to the nearest metre.
A
N
X Х
B​

Answers

Answer:

The distance between the two boats after 2.5 hours is 57 m.

Step-by-step explanation:

The distance covered by each boat after 2.5 hours are:

speed = [tex]\frac{distance}{time}[/tex]

distance = speed x time

For boat A, speed = 14 km/h and time = 2.5 hrs.

So that,

distance = 14 x 2.5

              = 35 km

For boat B, speed = 18 km/h and time = 2.5 hrs.

So that,

distance = 18 x 2.5

              = 45 km

The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:

[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bc Cos A

[tex]x^{2}[/tex] = [tex]45^{2}[/tex] + [tex]35^{2}[/tex] - 2(45 x 35) Cos [tex]90^{o}[/tex]

   = 2025 + 1225 - 3150 (0)

   = 3250

x = [tex]\sqrt{3250}[/tex]

  = 57.0088

x = 57.0 m

The distance between the two boats after 2.5 hours is 57 m.

In the figure shown below, line “m” and line “n” are parallel what is the value of x?

Answers

Answer:

x = 20°

Step-by-step explanation:

3x - 10° + 5x + 30° = 180° { being co-interior angles }

8x + 20 ° = 180°

8x = 180° - 20°

8x = 160°

x = 160° / 8

x = 20°

PLEASE HELP THIS IS DUE TODAY!!​

Answers

Answer:

254 in

Step-by-step explanation:

1 yard = 36 in

7 yards = 36 (7)

7 yards = 252

add 2

254 in

:)

Answer: 254 inches

Step-by-step explanation:

1 yard= 36 inches x 7 (yards) + 2 inches= 254 inches

Solve for x
[tex]\frac{x}{7}[/tex] − [tex]\frac{x}{9}[/tex] =−1

Answers

Answer:

[tex]x = \frac{ - 63}{2} \: or \: - 31.5[/tex]

Step-by-step explanation:

[tex] \frac{x}{7} - \frac{x}{9} = - 1[/tex]

Lets take the L.C.M of 7 & 9.

L.C.M of 7 & 9 = 63

[tex] = > \frac{9x - 7x}{63} = - 1[/tex]

[tex] = > \frac{2x}{ 63} = - 1[/tex]

Now lets multiply 63 on both the sides.

[tex] = > \frac{2x}{ 63} \times 63 = (- 1) \times 63[/tex]

[tex] = > 2x = - 63[/tex]

Now lets divide both the sides by 2.

[tex] = > \frac{2x}{2} = \frac{ - 63}{2} [/tex]

[tex] = > x = \frac{ - 63}{2} = - 31.5[/tex]

PLz help I will give brainliest!!!!! and extra points

Answers

Hey there!

The answer to your question is [tex]95.55[/tex]

Formulas:

Area of semi-circle = [tex]\frac{1}{2}(\pi r^2)[/tex]

Area of rectangle = [tex]lw[/tex]

Area of triangle = [tex]\frac{bh}{2}[/tex]

Now solve:

semi-circle

[tex]\frac{1}{2}\pi3^2[/tex]

[tex]\frac{1}{2}\pi9[/tex]

[tex]4.5\pi[/tex]

(We will use 3.14 as approx. for pi)

[tex]4.5 * 3.14\\23.55[/tex]

rectangle

[tex]10(6)\\60[/tex]

triangle

[tex]\frac{4(6)}{2}[/tex]

[tex]\frac{24}{2} \\12[/tex]

Now add them all together:

[tex]23.55+60+12\\95.55[/tex]

Have a terrificly amazing day!

if m=4,then what two numbers can m equal?

Answers

The answer is 2+2 I think
m can have a value of sum of infinite digits, for eg, 8 & -4, 3 &1, 63 and -59, etc.

A community service club has 12 seventh-graders and 12 eight-graders. The name of each student is put in a hat, and a name is drawn at random. Which number or number range describes the probability that the student selected is a seventh-grader

Answers

Answer:

1/2

Step-by-step explanation:

12 out of 24 is 1/2

Factor.

3y^2 + 5y - 2

If you can, please give me an explanation, I'm confused about how to do this.

(Example of how the answer would look like: (5x+3)(x+1))

Answers

I’m doing factoring right now so no problem!!
3y^2+5y-2
3 is a prime number so to split it up you would put 3y in one parentheses and y in the other. at this point it will look like this
(3y )(y )
now, you need to figure out what your signs would be (+ or -) because the second sign in the equation is a negative, your signs would be one + and one - you can decide where to put them until you figure out your two factors. in this case you need to figure out 2 numbers that multiply to 5 and add up to 2. you might think this is impossible, but since the 3 is there, one of those numbers can be multiplied by three. this is your answer:
(3y-1)(y+2)
comment on the answer if you have any more questions. mark me brainliest if you can!!

1) Mike's sister, Kellie, is 4 years older than he is. Let m be Mike's age and let k be Kellie's age. ) Complete the table to show Mike's age and Kellie's age in different years. compete the table to show Mike's age and Kellie's age in different years. ​

Answers

The table be like

Mike age        kellie age

10                     14

15                     19

20                    24

25                    29

Calculation of the ages:

Since Mike's sister, Kellie, is 4 years older than he is

And, Let m be Mike's age and let k be Kellie's age.

So here the equation be like

k = m + 4

Based on this we can compute the ages and fill the table

learn more about table here: https://brainly.com/question/16299322

Prove that
cos 9°+sin 9°/cos9°-sin9° =cot 36°
plzz fasstttt i need to writw this!!!!!!!!!​

Answers

Answer:

Step-by-step explanation:

LHS = (Cos9° + Sin9°) / (Cos9° - Sin9°)  

Divide by Numerator  and Denominator   by  Cos9°  

LHS = (1 + Tan9°) / (1 - Tan9°)

       = (Tan 45° + Tan 9°) / (1 - Tan 45° * Tan 9°)  

       = Tan (45°+9°)  

       = Tan 54°

       = Cot 36°

hope it helps :)

What is the square root of -1

A. -i
B. i
C. -1
D.1

Answers

Answer:

its i

Step-by-step explanation:

Square root of the positive value of 1 is either a positive value of 1 or negative value of 1.1 x 1 = 1 and -1 x -1 = 1.

Need help please hurry

Answers

9514 1404 393

Answer:

  x = 20°

Step-by-step explanation:

For questions like this, it is helpful to remember that an exterior angle is equal to the sum of the remote interior angles.

  110° = 2x + 70°

  40° = 2x

  20° = x

_____

Similarly, ...

  y = x + 70° = 20° +70°

  y = 90°

Write down the next two terms in this number pattern
2, 5, 9, 14, 20,0​

Answers

Answer:

+3,+4,+5,+6,-20

Step-by-step explanation:

its:

2+3=5

5+4=9

9+5=14

14+6=20

20- 20=0

i believe so

What is the missing value of 5x-2y=30 (8,)

Answers

Answer:

In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).

peter weighs 8kg heavier than Ailen.If 5/7 of Peter weight is 35kg,what is their total weight?​

Answers

5/7 = 35 kg

1/7 = 7 kg

Peter weighs 49 kg

49 - 8 = 41 kg

Ailen weighs 41 kg

49 + 41 = 90kg

Their total weight is 90 kg

Answer:
90 kg
Step-by-step explanation:
P= 8+x
A=x
5/7 of _=35kg= 49- Peter
49-8=41-Alien
49+41= 90kg

3x - 6 less than or equal to -3 on a graph

Answers

I believe that -3 is less than 3x-6 because if you look at their graph -3’s graph is below 3x-6 graph

The population of a city decreases by 1.6% per year. If this year's population is 320,000, what will next year's population be, to the nearest individual?​

Answers

Answer:

314,880

Step-by-step explanation:

If the population decreases by 1.6% per year, this means the population is 98.4% of the population of the previous year. What this means is we can multiply the current population, 320,000, by 98.4/100, as 98.4/100 is equivalent to 98.4%. This gets us 314,880.

Answer:

314880

Step-by-step explanation:

What is the meaning of ‘!’ In math and how do I use it?

Answers

In math, the '!' sign are used in factorial. Factorial is multiplications on numbers itself and with another numbers that less than the number itself. Example :

5! =5x4x3x2x1 or nx(n-1)x(n-2)...2x1

Find the equation of the line through point (−3,8) and perpendicular to y=27x+117.

Answers

Answer:

y - 8 = (-1/27)(x + 3)

Step-by-step explanation:

the slope of a line perpendicular to the given y = 27x + 117 is the negative reciprocal of 27, that is, -1/27.  Using the point-slope form  y - k =m(x - h)  to write the new equation, we get:

y - 8 = (-1/27)(x + 3)

Carter and his children went into a bakery where they sell cupcakes for $3 each and
cookies for $0.50 each. Carter has $35 to spend and must buy a minimum of 15
cupcakes and cookies altogether. If x represents the number of cupcakes purchased
and y represents the number of cookies purchased, write and solve a system of
inequalities graphically and determine one possible solution. (I need 2 inequality’s)

Answers

Answer:
3x + 0.5y = 35
x + y >/= 15

Possible solution: (11, 4)
11 cupcakes, 4 cookies
____________
Cupcakes = x
Cookies = y

Cupcakes are $3 each —> 3x
Cookies are $0.50 each —> 0.5y

$35 to spend: less than or equal to =
3x + 0.5y = 35

Minimum of 15: greater than or equal to >/= 15

x + y >/= 15
____________

3x + 0.5y = 35
x + y >/= 15

Solve second for y:
y >/= 15 - x

Substitute into first:
3x + 0.5(15 - x) = 35
3x + 7.5 - 0.5x = 35

Combine like terms
2.5x + 7.5 = 35

Subtract 7.5
2.5x = 27.5

Divide by 2.5
x is less than or equal to 11

So y is less than or equal to 4

Check:
4 + 11 = 15 :)

3*11 + 0.5*4 = 35
33 + 2 = 35
35 = 35 :)

Solve for x, please!

Answers

Answer:

45

Step-by-step explanation:

Answer:

30 + 70 + 2x-10=180

90+2x=180

2x=180-90

x=90/2

x=45

X=45

Hope it helps

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