z^m-n (z^m+ z^m+n + z^n)

Answers

Answer 1

Answer:Your left hand side evaluates to:

m+(−1)mn+(−1)m+(−1)mnp

and your right hand side evaluates to:

m+(−1)mn+(−1)m+np

After eliminating the common terms:

m+(−1)mn from both sides, we are left with showing:

(−1)m+(−1)mnp=(−1)m+np

If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:

(−1)(−1)mn=(−1)n.

It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:

(−1)(−1)mn=(−1)−n=1(−1)n

Multiplying both sides by (−1)n then yields:

1=(−1)2n=[(−1)n]2 which is always true, no matter what n is


Related Questions

Leilani wants to make 8 placemats. For each placemat she needs 18 in of fabric. How many yards of fabric will she need for
the 8 placemats?

Answers

Answer:

144 yarns of fabric

Step-by-step explanation:

If 8 placemat =18 fabrics

then 8 p placemats=8x18

=144

Leilani wants to make 8 placemats. For each placemat she needs 18 in of fabric. Leilani will need 4 yards of fabric to make the 8 placemats.

To determine the amount of fabric Leilani will need for 8 placemats, we need to convert the given length from inches to yards.

Given:

Length of fabric needed for one placemat = 18 inches

To convert inches to yards, we divide the length in inches by 36 (since there are 36 inches in a yard).

18 inches / 36 = 0.5 yards

Therefore, for one placemat, Leilani will need 0.5 yards of fabric.

To find the total amount of fabric needed for 8 placemats, we multiply the fabric requirement for one placemat by 8:

0.5 yards/placemat * 8 placemats = 4 yards

Leilani will need 4 yards of fabric to make the 8 placemats.

To know more about  "yards."  here

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Full Question.

Leilani wants to make 8 placemats. For each placemat she needs 18 in of fabric. How many yards of fabric will she need for the 8 placemats?

( No graph Needed)

What is the area of this figure?

Enter your answer as a decimal in the box.

Answers

Answer:

162

Step-by-step explanation:

18 + 63 + 81

Answer:

Step-by-step explanation:

Area of the parallelogram is A=hb and the area of the triangle is A=hb/2 so

A=9(11)+7(11)/2

A=137.5 cm^2

28,490 - 478.29 solve ​

Answers

Answer:

28,011.71

Step-by-step explanation:

solve for n:
3n > 6. ​

Answers

Answer:

n > 2

Step-by-step explanation:

translated up 3 units and left 2 units

Answers

What are we trying to answer here lol

Show your work and explain in a full sentence how
4 2/6 is equivalent to
3 8/6.

Answers

3 8/6 means 3 6/6 + 2/6
In simpler terms, 8/6 is a whole + 2/6, so 3 8/6 is 3 + 1 + 2/6, which is equivalent to 4 2/6

Answer:

Step-by-step explanation:

The reason why there the same is because if you simplify the fractions you get 1 1/3 from 4 2/6 and 3 8/6.

what is 2/5 x 5/6
i need the answer in 3 minutes

Answers

1/3

...............

.

...........

Answer:

1/3

Step-by-step explanation:

A student answered 43 questions correctly in a 53 questions test. What
percent is that?
Round your answer to the nearest whole.
%

Answers

Answer: 81%

Step-by-step explanation: I think i'm right

Find the area of the triangle. Enter your answer in the box.
3 m
8 m
m2
(Please help)

Answers

1/2Base×height

Step-by-step explanation:

1/2×8×3

=4×3

=12

please help ll do anything just help me with this question on math:

Which of the following is not the same as positive 3?

1. 3 units to the left of 0 on a number line
2. the opposite of -3
3. +3
4. 3

what’s the awnser? 1,2,3, or 4

Answers

answer:

3 units to the left of 0 on a number line

step-by-step explanation:

your asking for the opposite of positive 3 which just means your looking for a negative 3 ( also written like this -3 )

and going left on a number line means going down on a number line so if your going into the negatives if you started at 0

here is a small number line to help me explain this better

<----|----|----|----|----|----|----|----|----|----|----|---->

    -5  -4  -3  -2   -1   0    1    2   3   4   5

                               *          ( the star is you and your starting off at the #0 )

           <|-(-1)-(-1)-(-1)-                     = -3 ( taking 3 jumps to the left )

                  *        

       ( and now the star is at -3 which was the number you needed )

i hope this helps you and if you need anything else then just tell me! :)

1. The diameter of a circle is 8. what is the radius?

Answers

Answer:

Radius = 4

Step-by-step explanation:

r = d/2

r = 8/2

r = 4

Answer:

4

Step-by-step explanation:

The diameter of a circle is the length of a straight line from two opposite points on the circle. The radius is the length of a straight line from the middle to a point on the circle. This means that the diameter must be double the radius. So to find the radius, divide the diameter by 2. Since 8/2=4, the radius is 4.

determine the domain and range of each graph use inequalities to write your answer​

Answers

Answer: Domain is all real numbers. And range is y≥ 3

Step-by-step explanation:

5 + (1/7)b = -2
what is b?

Answers

Answer: b=-1

Step-by-step explanation:

[tex]5+\frac{1}{7}b=-2\\\\5+\frac{1}{7}b=-2\\\\\frac{1}{7}b=-7\\\\b=-1[/tex]

If two angles are vertical, the sum of their measures is equal to the measure of a right angle true or false?

Answers

Step-by-step explanation:

False,

Vertical angles isn't always complementary l

Answer:

true

Step-by-step explanation:

If two angles are congruent, their measures are equal.

A bag contains: • 2 white marbles • 3 brown marbles • 4 purple marbles • 6 orange marbles A marble will be drawn from the bag and replaced 75 times. What is a reasonable prediction for the number of times a brown or purple marble will be drawn?

Answers

Answer:

45

Step-by-step explanation:

There are 14 total marbles. The probability of drawing a yellow marble on the first draw is 3/14. Given replacement, the probability on the second draw is the same as on the first draw, so the probability of  black marble on the second draw is 6/14. The probability of drawing first a yellow marble then a black marble is 3/14 * 6/14 = 18/196.

Answer:

35

Step-by-step explanation:

sorry, i dont have an explanation for this i just guessed and it was right, here u go :)

The costs of a pack of noodles, a can of soda and a pack of bread buns are 120 Pesos, 45 Pesos, and 50 Pesos respectively. Brayden wants to buy x packs of noodles, y cans of soda, and z packs of bread buns.​

Answers

120x+45y+50z=C
This equation models this situation where C is the total cost

daniel has x coins, paula has 2 time as many coins as Daniel​

Answers

Answer:

Paula = 2x coins

Step-by-step explanation: We don't know how many x is, but we know that whatever x is, Paula is going to have double that number of coins. Turn this explanation into an equation... 2x...

A class of fourth graders decides to split into groups based on the first letter of their last names.then,they choose students from each group.what type of sampling is used?

A.Quota sampling

B.Volunteer sampling

C.Purposive sampling

D.Convenience sampling

Answers

Answer:

Volunteers sampling is correct answer

What number would make this problem many solutions?

Infinity many solutions :
10x+ ___ =2(5x+7)

2
5
7
14
17
20

Answers

Answer:

14

.........................

Answer:

14

Step-by-step explanation:

Distribute the right hand side of the equation to get 10x +14. To have infinitely many solutions, the left hand side would be the same so the answer is 14.

HELPPPPPPPPP MATH PLEASE

Answers

Answer: 14

Step-by-step explanation:

Answer:

12 units^2

Step-by-step explanation:

The triangle on the left has an area of 2, the square has an area of 4 and the triangle on the right has an area of 6.

Add these up to get 2+4+6 = 12

help please i’ll give extra points

Answers

Answer:

P would be reflected into quadrant 4.

Step-by-step explanation:

Answer:

Quadrant 4

Step-by-step explanation:

The quadrant under P is quadrant 4. Imagine putting a mirror on the x-axis, where would P be? It would be on the fourth quadrant, the quadrant underneath P.

Have a nice day!

can somebody help me with math I have 3 more questions OWO:

If Jeff drives 200 miles per hour in his race car, and this relationship is graphed, which ordered pair would not be on the graph?

1. (2, 400)
2. (0, 0)
3. (8, 1,600)
4. (5, 1,200)

please don’t steal all my points UwU :( :’)

Answers

4. If he had driven for 5 hours the X coordinate would be 1000.

The ordered pair would not be on the graph is (5, 1200)

The correct option is (4).

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. LHS = RHS is a common mathematical formula.

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:

If Jeff drives 200 miles per hour in his race car.

So, if we denote the distance by y and time by x then relation is

y = 200x

For x = 0

y=0

and, x= 2

y= 400

and, x= 8

y= 1600

and, x= 5

y = 1000

Hence, the point not on the graph is (5, 1200)

Learn more about Equation here:

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x over 8 = 10?
i just need to solve for x

Answers

X =80 you just have to multiply 8x10

1. Quadrilateral ABCD has AB = x+3 and CD= 5x –7. What is the length of x
for which the quadrilateral is a parallelogram?​

Answers

Answer:

x = 2.5

Step-by-step explanation:

since it's a parallelogram, AB = CD so:

x + 3 = 5x - 7

subtract x from each side of the equation:

3 = 4x - 7

add 7 to each side:

4x = 10

divide both sides by 4:

x = 2.5

Triangle XYZ has vertices X(1, –1), Y(3, 4), and Z(5, –1). Nikko rotated the triangle 90° counterclockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?

X’(1, 1), Y’(-4, 3), Z’(1, 5)
X’(1, 1), Y’(–3, –4), Z’(–1, –5)
X’(–1, 1), Y’(–3, –4), Z’(–5, 1)
X’(–1, –1),Y’(4, –3), Z’(–1, –5)

Answers

Answer:

When a figure is rotated counterclockwise about the origin, its original coordinates of point P (x,y) will now be positioned as P' (-y,x).

X (1,-1) --> X' (1,1)

Y (3,4) --> Y' (-4,3)

Z (5,-1) --> Z' (1,5)

The correct set of image points for triangle X'Y'Z' is X'(1,1), Y'(-4,3), and Z'(1,5).

Step-by-step explanation:

Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

If a point A(x, y) is rotated 90° counterclockwise the new point is A'(-y, x).

Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)

Find out more on Transformation at: https://brainly.com/question/26092237

A rectangular poster has an area of 38 square feet. It is 4 3/4 feet wide at its base. What is the height of the poster

Answers

Answer: The height is 8

Step-by-step explanation:

4.75 x 8 = 32

nine divided by n plus two

Answers

Answer:

whats n?

Step-by-step explanation:

im guessing 9/1=9+2=11 idek bc u didnt give n

Does anyone know the answer to this?

Answers

Try photo math
It help u

please help me ahh!!!!!! (question in picture)

Answers

Answer:

A. -3

Step by Step:

Answer: The answer is 1/3 hope it helps :)

WILL MARK BRAINLIST JUST HELP ME
What is the volume of the triangular prism?
A) 15 cm3
B) 18 cm3
C) 21 cm3
D) 24 cm3

Answers

Answer:

A

Step-by-step explanation:

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