Describe why the expression 2^-4
is equivalent to the expression 1/2^4

Answers

Answer 1

Answer:

Because when a number is raised to negative indice, it automatically becomes a fraction of 1, with the number raised to the positive indice. If the original expression becomes the other..its still equivalent and equal to the same value-just changed to make solving more easier

Answer 2

Answer:

see expression

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex] , then

[tex]2^{-4}[/tex]

= [tex]\frac{1}{2^{4} }[/tex]

Thus

[tex]2^{-4}[/tex] and [tex]\frac{1}{2^{4} }[/tex] are equivalent expressions


Related Questions

I just need help with this one problem

Answers

Nicole is 36 years old

Answer:

Age of Nicole x= 24 years

Age of Donald = y = 48 years

Step-by-step explanation:

Suppose x represents Age of Nicole in years and y represents age of Donald in years

Sum of their ages is 72, therefore

[tex]x+y=72[/tex] -------------- (1)

Nicole is half as old as Donald

[tex]x= \frac{y}{2}[/tex]   ------------------ (2)

Substitute x=y/2 in equation (1)

[tex]\frac{y}{2} +y = 72 \\3y = 2(72) \\y = \frac{144}{3} \\y= 48 \ years[/tex]

Now put y=48 in equation (2)

[tex]x =\frac{48}{2} \\x=24[/tex]

if tan theta= -0.87, find cot

Answers

Answer:

Step-by-step explanation:

[tex]cot(\frac{\pi }{2} -\theta)=tan \theta=-0.87[/tex]

or second method

[tex]\cot(\frac{\pi }{2} -\theta)=\frac{1}{\tan(\frac{\pi }{2} -\theta)} =\frac{1}{\frac{\tan\frac{\pi }{2} -\tan \theta}{1+\tan \frac{\pi }{2 } \tan \theta} } =\frac{1+\tan\frac{\pi }{2} \tan \theta}{\tan\frac{\pi }{2} -\tan \theta} \\(divide~the~numerator~and~denominator~by~\tan\frac{\pi }{2} )[/tex]

[tex]=\frac{\cot\frac{\pi }{2} +\tan\theta}{1-\cot\frac{\pi }{2} \tan\theta} \\=\frac{0+\tan \theta }{1-0*\tan\theta} \\=\tan \theta\\=-0.87[/tex]

Please help me with acellus

Answers

Answer:

66

Step-by-step explanation:

angle 1 and 4 are supplementary so the 2 added together equal 180. 180-124=56.

The sum of the triangles angles equal 180

180-56-58=66 which is the value of angle 2

the answer is 66 hope this helpss

a car travels 120 km in one and a half hours. what is the average speed

Answers

Answer:

The speed would be 60kph.

Answer:

80 mph (average)

Step-by-step explanation:

Split 120 into thirds, each one being half an hour.

120/3=40

Add two of them together, getting 80.

40x2(or 40+40)=80

Since the car travels 80 miles in one hour, 80 mph is the average speed.

Lupe is the manager of the football team, and she has to plan a team dinner for Saturday night. She knows that one large pizza can feed 3 players and one sandwich tray can feed 4 players. Lupe needs to order enough food for the 72 players on the team. (a) Write a linear equation to represent the number of pizzas (x) and the number of sandwich trays (y) she could purchase to feed the football players.

Answers

Answer:

3x + 4y = 72

Step-by-step exlanation:

Number of pizzas = x

Number of sandwich trays = y

one large pizza can feed 3 players

one sandwich tray can feed 4 players

Total players = 72

The linear equation is

3x + 4y = 72

Find the slope of the line passing through the points (-2, -7) and (3, 5).

Answers

Answer: The slope is 12/5

Step-by-step explanation:

You go up 12 from the point ( -2, -7) and then go over 5

dos números que
tengan una diferencia
de 8.

Answers

Answer:

10-2

Step-by-step explanation:

El número 10 y 2 tienen la diferencia de 8.

HELP PLEASE
Write an equation for the line in slope-intercept
form.

Answers

Answer:

y=2x+5

Step-by-step explanation:

slope intercept form is represented by: y=mx+ c

where, m is slope

c is y intercept.

solve for extra points and brainlist

Answers

Answer:

ポイント

Step-by-step explanation:

ポイント

Answer and explanation.

Answers

Answer:

you have to change the 145* to 110* and flip it to the idol point in x

Step-by-step explanation:

hope this helps, I was just doing this

Answer:

The polygon is a pentagon and it has 5 sides so use the formula to find the sum of the interior angles that is (n-2)×180°.so,

(5-2)×180 = 540°

540-145-110-105-100 = 80°

so the answer is 80°

Help pleasssseeee????

Answers

C) $625 is your answer!
the answer is 625 hope this helps

predicate pattern for 6,11,1,3,13,18,8,10,20,25

Answers

The next number would be 15. The pattern is +5, -10, +2, +10.

how do you answer this angle problem?

Answers

Answer:

H

Step-by-step explanation:

y=30

z=30

I hope it helps

need hep wit this thx

Answers

Answer:

answer is 3

Step-by-step explanation:

n+1=3+2/2=3

The number is 3 and it is a odd number.

I hope it's helpful!

Which statement from "Ain't I a Woman?" is an example of pathos?

Well, children, where there is so much racket there must be something out of kilter.
That man over there says that women need to be helped into carriages, and lifted over ditches, and to have the best place everywhere.

I have borne thirteen children, and seen most all sold off to slavery, and when I cried out with my mother’s grief, none but Jesus heard me!

If my cup won’t hold but a pint, and yours holds a quart, wouldn’t you be mean not to let me have my little half-measure full?

Answers

Answer:

The answer is C

Step-by-step explanation:

I just took the test, got it wrong, just so I could answer this, I answered b, but it's c

Answer:

C is the answer  :)

Step-by-step explanation:

got it right on the test

Solve the expression x=2

Answers

Answer:

-2

Step-by-step explanation:

Answer:

X = 2

Step-by-step explanation:

Help plz:):):):):)):):):):):)

Answers

Answer:

The answer is 60%

Step-by-step explanation:

12+8 = 20

12/20 = 0.6

which equation is true? 0.9 = 9/100 , 1.9 = 9/100 , 12/10 = 1.2 , or 18/9 = 0.2?

Answers

Answer:

12/10=1.2

Step-by-step explanation:

You just move the decimal one place value to the left. so 12÷10=1.2 which is the same as 12/10=1.2

Answer:

12/10

I'm pretty sure that's the answer

Which of the following graphs is not a function?
a.
On a coordinate plane, a parabola opens up and goes through (negative 2, 1), has a vertex at (0, 0), and goes through (2, 1).
c.
On a coordinate, a cubic root function approaches y = negative 3 and y = 3.
b.
On a coordinate, plane a cubic root function approaches x = negative 3 and x = 3.
d.
On a coordinate plane, a parabola opens to the right and goes through (1, 1), (0, 0) and (1, negative 1).

Answers

Answer: x=1

Step-by-step explanation:


What is the value of x?
12 units
10
15 units
20 units
24 units

Answers

Answer:

x = 20 units

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

( leg of Δ SRQ )² = (part of hypotenuse below it ) × ( whole hypotenuse ), so

x² = 16 × (16 + 9) = 16 × 25 = 400 (take the square root of both sides )

x = [tex]\sqrt{400}[/tex] = 20

giving away big points

Which set of directions correctly describes how to plot the point (8, 4) on the coordinate plane?
O Start at the origin. Move 8 units to the right, then move 4 units up.
O Start at the origin. Move 8 units up, then move 4 units to the right.
O Start at the origin. Move 8 units to the left, then move 4 units up.
O Start at the origin. Move 8 units up, then move 4 units to the left.

Answers

Answer:

1st option. (x, y). The x - coordinate comes first and describes the horizontal (right and left) plane. The y - coordinate describes vertical (up, down) movement.

Step-by-step explanation:

i did test on edg.

Answer:

the first one

Step-by-step explanation:

The expanded form of 128,005

Answers

Answer:

(100,000 x 1) + (10,000 x 2) + (1,000 x 8) + ( 1 x 5)

Step-by-step explanation:

At 4:00 AM, the temperature is – 12 °F. If the temperature drops 3 °F per hour, what will the temperature be at 6:00 AM?

Answers

Answer:

-18°F

Step-by-step explanation:

Starting temp = -12

Every hour temp drops by 3

Total elapsed hours = 2

3(2) = 6 total degrees dropped

-12 - 6 = -18 degrees F

Answer:

it will be -6f at 6:00am

Step-by-step explanation:

Please help me ASAP... ​

Answers

Answer:  20% of the teachers are from district M

There are 50 teachers from district M, so bar M is 50 units tall.

=======================================================

Work Shown:

Let's add up the bar heights of the bars shown in the chart.

J+K+L+N = 50+80+30+40 = 200

So 200 teachers are from districts J,K,L, or N.

We're told that 250 total teachers attended. This must mean M = 50. We're effectively solving 200+M = 250.

So you'll need to draw a bar over M such that it is 50 units tall. This will complete the chart.

Because there are 50 teachers from district M, out of 250 total, we can then compute the percentage to get

50/250 = 0.20 = 20%

So 20% of the teachers are from district M.

A group of nine friends go to a baseball game. The group buys 6 hotdogs and 3 hamburgers for a total of $27.75. A hamburger costs $1.75 more than a hot dog. What is the cost of a hamburger?

Answers

Answer:

let x be cost of a hotdog

let y be cost of hamburger

so,

5x + 4y = 17.75                    eq. 1

4x + 5y = 18.25                    eq. 2

manipulate eq. 1 so solve for x:

5x = 17.75 - 4y

x = 17.75/5 - (4/5)y

x = 3.55 - (4/5)y                  eq. 3

substitute eq. 3 to eq. 2:

4(3.55 - (4/5)y) + 5y = 18.25

14.2 - (16/5)y + 5y = 18.25

14.2 + (9/5)y = 18.25

(9/5)y = 18.25 - 14.2

4.05= (9/5)y

y = 2.25

x = 3.55 - (4/5)(2.25)

x = 1.75

hotdog costs $1.75

hamburger costs $2.25

Step-by-step explanation:

What's the answer - 0.5(4x - 5) > 7 Pls.

Answers

Answer:

-2x+2.5 > 7

Step-by-step explanation:

Im not sure what you mean by the answer because there are no answer choices so i jus simplified for you

A video store’s regular price of a video is $25.95, and it’s on sale for 25% off. What is the cost of the video after the discount is applied?
A.$32.44
B.$6.49
C.$19.46
D.$25.75
Hurry Please!

Answers

Answer:

Hi there, Your answser will be C

Hope this helps

please help me!!!!.......

Answers

Answer:

1.7%

Step-by-step explanation:

Simple interest (I) is calculated as

I = [tex]\frac{PRT}{100}[/tex] ← substitute values for I, P and T

17 = [tex]\frac{500(2)R}{100}[/tex] ( multiply both sides by 100 to clear the fraction )

1700 = 1000R ( divide both sides by 1000 )

1.7 = R

The rate of interest is 1.7%

What is the next step to inscribe a regular hexagon in Circle O below?

Answers

Answer:

draw diameter of the circle

The option second “with compass point at A, construct an arc of length OA intersecting the circle” is correct.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

To construct a regular hexagon in Circle O first mark point A then, with compass point at A, construct an arc of length OA intersecting the circle.

Thus, the option second “with compass point at A, construct an arc of length OA intersecting the circle” is correct.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

Jacob went shopping to buy a new pair of jeans. After paying an 8% sales
tax the total bill was $64.80. What were the price of the pants before the
sales tax was added? Hint: This is a working backwards problem.
What was the original price of the jeans?

Answers

64.80-0.08=59.62

59.62 is the original price of the pants
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