Complete the explanation for why 2−3 is the same as 1 23 . Look at the pattern below. As the exponent goes down by , the value is of what it was before. 23 = 8, 22 = 4, 21 = 2, 20 = 1, x−x = 1 2 , x−x = 1 4 , x−x = 1 8 = 1 23

Answers

Answer 1

[tex]2^{-3}[/tex] is the same as [tex]\frac{1}{2^3}[/tex] because of the rule [tex]x^{-k} = \frac{1}{x^k}[/tex]

The negative exponent says to take the reciprocal of the base to make the exponent positive. The original base is 2, of which the reciprocal is 1/2.


Related Questions

Complete each step in the following solution.

Answers

Answer:

-6 and -10

Step-by-step explanation:

Three times negative two equal to negative six

Negative two plus negative eight equal to negative ten

-6 -10 is the answer your welcome!

simplify the ratio 15:27​

Answers

Answer:

Step-by-step explanation:

15/27

15 divide by 3 out of 27 divide by 27

5/9= 5:9

Ratio = 15 : 27

= 5 : 9

( just divide both by 3 )

What is -4x^5+10x-9-9x^4+5x+10 simplified

Answers

Answer:

I think it is −4x

5

−9x

4

+15x+1

Step-by-step explanation:

Ok so I copy and pasted this try to squish that together lol

Answer:

simplified, it would be: -4x^5-9x^4+15x+1

Step-by-step explanation:

just add like terms.

Clear x in the next ecuation 6x+2y=528

Answers

The correct answer should be x=43

Olam, como staaaaaaaaaa¿

Can someone explain how to do this?

Answers

Answer:

ok so basically the points need to be graphed on a map and to do that you need to know the x and the y axis.x axis is horizontal and y is verticle.So look at -3,-5 the x is -3 and the y is -5 so you go left -3 and then down -5

Edward has deposited $847 in a savings account that earns interest at a rate of 2.2% compounded daily. What will the account balance be in 18 years

Answers

Answer:

$1,257.63

Step-by-step explanation:

A= p(1+r/n)^nt

P = principal = $847

r= interest rate = 2.2%

n= 360 per year

t= 18 years

A= p(1+r/n)^nt

= 847(1+0.022/360)^360*18

= 847(1+0.000061)^6,480

= 847(1.000061)^6,480

=847(1.4848)

= $1,257.63

Total balance in 18 years = $1,257.63

The Table Below shows the survey results from seven randomly selected probability and statistics students in one high school classroom.

Answers

Answer:

B) Students

Step-by-step explanation:

They are the ones being surveyed .

Why can't you use algebra tiles to modle the multiplication of a linear polynomial by a quadratic polynomial

Answers

Multiplying a linear polynomial by a quadratic polynomial would equal a cubic polynomial. Algebraic tiles do not model cubic functions. Explanation: x * x2 = x3 ; using tiles for 2x is simple enough (2 tiles), 2x2 would be 2x2 tiles.

Please help me! I will mark you brainliest! Thank you!

Answers

Answer:

multiplacation and repeated addition

Step-by-step explanation:

multiply and add repeatly.

Compare and contrast the following diagrams by creating a list of at least
five complete sentences.

Answers

Answer:

The similarities are

1) Both diagrams consists of an horizontal line l for the upper diagram and k for the lower diagram

2) Both diagrams have a vertical plane Z for the upper diagram and A for the lower diagram

3) Both diagrams have rays, which are C for the upper diagram and G and H for the lower diagram

The differences are

1) The upper diagram has only one plane, while the lower diagram has two planes, seemingly rotated at an angle of about 90° to each other

2) The upper diagram has only one line, l, while the lower diagram has two lines, l and GH

Step-by-step explanation:

Given that 2 x − 2 y = 23 Find x when y = 9

Answers

Answer:

[tex]x=41/2=20.5[/tex]

Step-by-step explanation:

So we have the equation:

[tex]2x-2y=23[/tex]

And we want to find x when y is 9.

So, substitute y for 9 and solve for x:

[tex]2x-2(9)=23[/tex]

Multiply:

[tex]2x-18=23[/tex]

Add 18 to both sides:

[tex]2x=41[/tex]

Divide both sides by 2:

[tex]x=41/2=20.5[/tex]

So, our answer is 20.5

Answer:

20.5

Step-by-step explanation:

2x - 2y = 23

2x - 2(9) = 23

2x -  18 = 23

2x = 23 + 18

2x = 41

x = 20.5

If six times a number is decreased by fourteen, the result is 124. What is the number

Answers

Answer:

[tex]\large\boxed{23}[/tex]

Step-by-step explanation:

Six times a number is decreased by fourteen, the result is 124.

Write an equation that represents this

(6 * x) - 14 = 124

Multiply 6 by x to remove the parenthesis

6x - 14 = 124

Add 14 to both sides of the equation

6x = 138

Divide both sides of the equation by 6

x = 23

The unknown number is [tex]\large\boxed{23}[/tex]

Hope this helps :)

Answer:

138

Step-by-step explanation

6x-14=124

6x=124+14

x=138/6        138/6=23

X=23

   

4xy - 6xy + 5y - 9y Please also include the steps to solving it.

Answers

Answer:

-2xy -4y

Step-by-step explanation:

Combine like terms:

Subtract 6xy from 4xy: 4xy-6y = -2xy

Combine Like terms:

Subtract 9y from 5y: 5y-9y= -4y

Ans: -2xy -4y

The width of a rectangle measures (4.4d-4.3)(4.4d−4.3) centimeters, and its length measures (7.6d+4.7)(7.6d+4.7) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answers

Answer:

Perimeter, P = (24d+0.8) cm

Step-by-step explanation:

Given that,

Width of rectangle, B = (4.4d−4.3) cm

Length, l = (7.6d+4.7)

Perimeter is equal to the sum of all sides. A rectangle have 4 sides. The opposite sides of a rectangle are equal. So,

Perimeter = 2(L+B)

P = 2[(7.6d+4.7)+(4.4d−4.3)]

Collecting like terms

P = 2[(7.6d+4.4d)+(4.7−4.3)]

P=2(12d+0.4)

P = 24d+0.8

So, the expression for the perimeter of the rectangle is (24d+0.8) cm.

Question time pls help me

Answers

The answer is four cubed

Answer: 4 squared

Step-by-step explanation:

Solve each inequality.
6i - 54 > 6 (3 - 2i)

Answers

Answer:

i > 4

Step-by-step explanation:

6i - 54 > 6 (3 - 2i)

6i - 54 > 18 - 12i

6i + 12i > 18 + 54

18i > 72

i > 4

Find the opposite and reciprocal of 1.2 *
1 point
Opposite: -1.2, Reciprocal: 1/1.2
Opposite: -1.2, Reciprocal: 5/6
Opposite: -1.2, Reciprocal: 6/5
Opposite: -1.2, Reciprocal: 25x3
Write a simplified expression for the perimeter of the shape *
1 point
dtc

Answers

Answer:

Dtidgjxjgसमदफछघबथधम छधढधदबम

I need help on what to write exactly

Answers

Answer:

Step-by-step explanation:

the equation could model a scenario determining the number of players on each team in a league of five teams, if 2 players have to be taken out of the possible players to be referees and to keep score. there will be 11 on each team

yes 7:8 are not cause yeah baby lol x

what is the product of (-4)(-2)(-1)

Answers

Answer:

-8

Step-by-step explanation:

multiply -4 and -2= 8

then 8x-1= -8

when multiplying a positive by a negative it will always be a negative

Multiply -4 by -2 -4x-2=8
8x-1=-8
Your 100% correct answer is -8

A full-time employee who works 40 hours per week earns $20.50 per hour. Estimate that person's income. Round 52 weeks to 50 weeks per year, and round the hourly wage to the nearest dollar for the estimate. What is the estimated of annual income?

Answers

Given :

Full-time employee who works 40 hours per week earns $20.50 per hour.

To Find :

The weekly income and annual income after round off .

Solution :

Weekly income is given by :

[tex]C =40\times 20.50\\\\C=\$ 820[/tex]

Now , round off of hourly in come to nearest dollar is $21 .

So , new weekly income is :

[tex]C'=40\times 21\\\\C'=\$ 840[/tex]

Now , annual income is :

[tex]A=C'\times 50\\\\A=\$840\times 50\\\\A=\$42000[/tex]

Therefore , weekly income and estimated of annual income is $42000 .

Hence , this is the required solution .

Nevaeh drove 324 miles in 6 hours. If she continued at the same rate, how far would
she travel in 5 hours?

Answers

Step-by-step explanation:

324miles= 6 hours

?? 5hours

6/5 × 324 = 388.8 miles

Answer:

270 miles in 5 hours.

Step-by-step explanation

in one hour she drove 54 hours, so multiply that by 5 and you get 270 miles.

What is the solution to this equation?
-8x + 4 = 36
O A. x= -4
O B. x = 4
O c. x= -5
O D. x = 5

Answers

Answer:

A

Step-by-step explanation:

So we have the equation:

[tex]-8x+4=36[/tex]

Subtract 4 from both sides:

[tex]-8x=32[/tex]

Divide both sides by -8:

[tex]x=-4[/tex]

And we're done!

The answer is A

Answer:

A. x = -4

Step-by-step explanation:

We are given the equation:

-8x+4=36

We want to solve for x. Therefore, we must isolate x on one side of the equation.

4 is being added to -8x. The inverse of addition is subtraction. Subtract 4 from both sides of the equation.

-8x+4-4=36-4

-8x=36-4

-8x=32

x is being multiplied by -8. The inverse of multiplication is division. Divide both sides of the equation by -8.

-8x/-8=32/-8

x= 32/-8

x=-4

Let’s check our solution. Plug -4 in for x and solve.

-8x+4=36

-8(-4)+4=36

32+4=36

36=36

This checks out, so we know our solution is correct.

The solution to the equation is A. x=-4

A 525 gram rock contains 25.0% gold.How many grams are gold?

Answers

Answer:

131.25 gram is gold

Step-by-step explanation:

Rock = 525 gram

Gold = 25.0% of the rock

To determine how many grams of the rock are gold,

Find 25.0% of 525 gram

= 25/100 × 525

= 0.25 × 525

= 131.25 gram

Gold = 131.25 gram of the rock

Therefore,

131.25 gram of the rock is gold

Which number line shows the solution to −6 − (−2)?

Answers

Answer:

the 2nd one

Step-by-step explanation:

BIG BRAIN

plzz help me ill mark you as branlets

Answers

Answer:

option c p= -9

P= -63/7

-9

List the single-digit numbers that are divisors of 420.

Answers

Answer:

It is divisible by 1,2,3,4,5,6 and 7.

wjat is the answer for this equation ​

Answers

Answer: 22

17 1/2= 17.5

4 1/2= 4.5

17.5 + 4.5 = 22

Answer:

22

Step-by-step explanation:

Firstly you should convert the mixed fraction in inproper fraction. So in this question the denominator are same thus, we can add the in proper fractions and we will get our answer.

Which equation has the solution x = 6? One-sixth x = three-fourths x + 2 One-fourth x + one-half = one-third x One-half x + 3 = three-fifths x + 3 Four-fifths x minus 1 = three-fourths x

Answers

Answer:

x = 6

One-fourth x + one-half = one-third x

Step-by-step explanation:

1/4 x + 1/2 = 1/3 x

1/4 x - 1/3 x = - 1/2

(3x - 4x)/12 = -1/2

-x/12 = -1/2

-x = -12/2

-x = -6

x = 6

Answer:

The answer is B

Step-by-step explanation:

Don't listen to the guy above me

As the owner of a pastry shop, you decide to have a sale on brownies. You price each brownie at 37 cents. At the end of the sale, you have sold 10 trays of brownies, with 12 brownies in each tray.

How much money did you receive from selling the brownies?

Answers

Answer:

4440

Step-by-step explanation:

10×12= 120 so you would 120 brownie.

so 120 × 37 for each is 4440 so your answer would be 4440. I used desmos.com, it is very helpful. You should give it a try!

Answer:

$44.40

Step-by-step explanation:

Each tray has 12 brownies, And you sold 10 trays

calculate total amount of brownies

10 × 12 = 120 brownies

37 cents = 0.37

multiply them together

120 × 0.37 = 44.40

Thus, you recieve 44.40

Given h(x)= 4x^2, find h(3) Help me pleasee asap

Answers

Answer:

Given the problem, I believe your answer would be:

h(3)=144

h=48

Hope this helps!

Answer: h(3) = 36

Explanation:
h(x) = 4x^2
h(3) = 4(3)^2
h(3) = 4(9)
h(3) = 36
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