Why does the base matter when simplifying negative exponents?

Answers

Answer 1

Answer:

A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side. For instance, "x–2" (pronounced as "ecks to the minus two") just means "x2, but underneath, as in 1 x 2 \frac{1}{x^2} x21 ".

Step-by-step explanation:


Related Questions

A triangle has an area of 12 square units and a height of 8 units. Find its base.

Answers

Answer:

3

Step-by-step explanation:

b= 2 [tex]\frac{A}{Hb}\\[/tex] =   2 · [tex]\frac{12}{8}[/tex] = 3

Answer:

base= 3

Step-by-step explanation:

You need to work backwards to solve this problem

A= 1/2bh

with the information given, the equation should look like this:

12= 1/2b8

To get rid of the fraction, you flip it, and you multiply both sides by that (1/2 fliped is 2)

so  2* 12= 1/2b8 *2

-----------------------------------------------------------------------------

** You can see that the 1/2 and the two cancel each other out. This is why:

1/2* 2/1= 2/2

2/2=1

1 * b8 is just b8

----------------------------------------------------------------------------

So now you have:

24= b8

you want to get b by itself, so you use inverse operations ( you divide both sides by 8)

24/8= b8/8

your final answer is 3=b

you can plug in 3 into the original equation to check your answer!!!

Harvey flew south 300 miles. He changed planes and then flew east 500 miles. If he travels a straight path back home, how many miles will he fly? Round to the nearest mile.

Answers

Answer:

583 miles

Step-by-step explanation:

Let's draw this out (see attachment).

The straight line path creates the hypotenuse of a right triangle with legs of lengths 300 and 500. So, we use the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:

a² + b² = c²

Here, a = 300 and b = 500. Then:

300² + 500² = c²

90000 + 250000 = c²

340000 = c²

c = √340000 ≈ 583.1 ≈ 583 mi

Thus, the answer is 583 miles.

~ an aesthetics lover

What is the angle relationships

Answers

They are same side interior!! Not alternate, they’d be on opposite sides of the line

Graph 1
Parallel
Perpendicular
Neither

Answers

Graph 1 is parallel
Let me know if you need the other 3

SOLVE NUMBER TWO I WILL GIVE BRAINLIST!! USE PIE PLEASE.

Answers

Answer:

see explanation

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = πd ( d is the diameter )

Here C = 32π , thus

πd = 32π ( divide both sides by π )

d = 32

Thus a coin with diameter 32 mm should fit through a slot of 35 mm

Hello! I have no idea why im writing this, but whoever sees this and is reading this please know that i have no idea who u are but just keep in mind that i hope you have a happy year filled with joy and happiness!!!!!! If ur feeling down please make sure to ask ur friends to cheer u up !! I dont want u to feel sad :(. Anyways, have a good day. My Question is, How has ur day been today? What did u do today that u wanted to do? What did u do that u didnt want to do? Well GOODBYE!

Answers

Answer:

Step-by-step explanation:

The day is beautiful, encountered traffic at some point while going out but eventually came out of it after some minutes. It was caused by some hoodlums trying to collect money from drivers.

Research

I took out time to search out some vital information, compiled it to make a single thought that is useful to explain the research topic

I did was what I intend doing today nothing was done out of place.

Answer:

Hi! Thanks so for taking the time to write this beautiful message! So my day was great! But I have a project due at 11:59 that I don’t want to do but other than that it was great!! I am doing okay, how about you? Today I went to school (online) and it was fun since it was Friday I got to play kahoot and I had dance (as a strand) do that was fun as well. Anyways enough about me how are you and how was your day?! Hope you have a great day, bye! :D

Step-by-step explanation:

positive vibes

hehe :))

Help me with my math question im gonna give you 10 points just to answer that thankkkkkkkkkkkkkkkkkk you

Answers

Which one you need help with

What’s the diameter of a circle 5in

Answers

Answer:

About 1.591 in

Step-by-step explanation:

diameter

=

5

π

1.59

to 2 dec. places

Explanation:

the circumference (C) of a circle is

x

C

=

π

d

d is the diameter

here

C

=

5

π

d

=

5

divide both sides by

π

π

d

π

=

5

π

d

=

5

π

1.59

to 2

The diameter is

35

22

.

Explanation:

The diameter of a circle is twice its radius.

We can find the radius of the circle by the equation

circumference

=

2

π

r

Now, just plug it in as

5

=

2

π

r

5

=

2

(

22

7

)

r

r

=

5

(

1

2

)

(

7

22

)

r

=

35

44

Since the diameter is twice the radius,

d

=

35

44

2

d

=

35

22

Which one should I choose

Answers

Answer:

x<10

Step-by-step explanation:

I’ll give brainliest

Answers

Answer:

The graph of the system of equations solves the equation  [tex]\frac{1}{2}[/tex] x - 4 = -2x + 1 ⇒ D

Step-by-step explanation:

Let us revise some important notes about the slope and y-intercept of a line

The form of the linear equation is y = m x + b, where m is the slope and b is the y-intercept

If the line has a positive slope then its direction will be to the rightIf the line has a negative slope then its direction will be to the left

The y-intercept (0, b) is the the point of intersection between the line and the y-axis

If the line cuts the y-axis at a point above the x-axis, then b is positiveIf the line cuts the y-axis at a point down the x-axis, then b is negative

To solve our question without any calculation, let us find the direction of the slopes and their y-intercepts

∵ The direction of the blue line is to the left

→ That means m in the equation is negative

∴ Its slope is negative

∵ The line intersects the y-axis at point (0, 1)

→ That means b in the equation = 1

∴ The number in the equation is 2

→ Look at the answer we have only one answers have negative slope and

   y-intercept = 1 in the right hand side ⇒ D

∴ The equation of the blue line is represented by the left side -2x + 1

→ That means the equation of the red line is represented by the left side

∵ The direction of the red line is to the right

→ That means m in the equation is positive

∴ Its slope is positive

∵ The line intersects the y-axis at point (0, -4)

→ That means b in the equation = -4

∴ The number in the equation is -4

→ Only D has a positive slope and y-intercept = -4 in the left side

∴ The equation of the red line is represented by [tex]\frac{1}{2}[/tex] x - 4

The graph of the system of equations solves the equation  [tex]\frac{1}{2}[/tex] x - 4 = -2x + 1

Another way:

You can solve each equation to find the value of x, then substitute it in one side of the equation to find y , the values of x and y must be (2, -3) as the point of intersection of the two lines in the graph

You are creating a business to earn some extra income over the summer. You decide to sell one product that costs you $2.50 to make. You have a total of $2,000 to put towards the cost of starting your business.


(Q1.) Does the inequality below represent the above business? Yes No


(Q2.) 2.50a 2,000 where a represents the number of $2.50 items manufactured.


If you selected no, explain why:


(Q3.) How would you go about solving the inequality to know how many items you can manufacture while staying within your $2,000 budget?

Please Help!!!

Answers

Answer:

Step-by-step explanation:

I think this sample work is due today 0^0 but I got yes for the first part and I would  divide 2000 by 2.5 and get get 800 items  please put this in your own words  and I hope this helped you  get the right answer

Raju’s father’s age is 5 years more than three times Raju’s age. Find Raju’s age,

if his father is 44 years old. ( 13 years)
please help​

Answers

Answer:

Step-by-step explanation:

In order to find the answer, let's work backwards to find the original. We have to do the opposite to get to the Raju's age. We will start with his fathers age. (44) Then we will subtract five from it so that it will be divisible by three.

44 - 5 = 39

Then we just have to divide by 3.

44/3 = 13

His age is 13 years old.

plz help!! polynomial long division (level 1)

Answers

Answer: this is the answer--->[tex]4x^2+3x+10[/tex]

48 divided by what equals eight

Answers

Answer:

6

Step-by-step explanation:

6 is the answer because 6 times 8 equals 48, so if you divide 48 by 8 then the quotient would equal 6.

The number 48 should be divided by 6 to equal eight is 48 ÷ 6 = 8

To find what number 48 should be divided by to equal eight, we can set up the division equation and solve for the unknown value.

Let's represent the unknown number by 'x':

48 ÷ x = 8

Now, to find the value of 'x,' we can isolate it by performing the inverse operation of division, which is multiplication. We can multiply both sides of the equation by 'x':

x * (48 ÷ x) = x * 8

On the left side, 'x' cancels out with the 'x' in the denominator, leaving us with:

48 = 8x

Next, we can solve for 'x' by dividing both sides by 8:

48 ÷ 8 = 8x ÷ 8

6 = x

Therefore, the number 48 should be divided by 6 to equal eight:

48 ÷ 6 = 8

To know more about divided:

https://brainly.com/question/15381501


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Frank and Jasmine use the same trail for their Saturday walk. Frank walks at an average pace of 2 miles per hour. Jasmine starts when Frank is at the 3 mile marker and walks at an average pace of 4 miles per hour. Write an algebraic equation that could be used to determine how many hours Jasmine will walk before she catches up to Frank.

Answers

Answer:

Jasmine will walk 1hr:30min before she catches up to Frank

Step-by-step explanation:

let the distance of the trail be x

and let the time be t

given that franks average speed is 2 miles per hour

the distance covered by Frank is x-3

the time taken by Frank to cover the distance is

we know that speed=distance/time

2=x-3/t

2t=x-3  

x=2t+3---------1

Jasmine speed= 4 miles per hour

speed=distance/time

4=x/t

x=4t--------2

equating 1 and 2 above we have

2t+3=4t

solving for t we have

4t-2t=3

2t=3

t=3/2

t=1.5

That is 1hr 30 min

 

Page No.
Date :
/
The sum of the digits of two number is 7. The product
the number and its reverse number formed by Interchanging the digits
is 976. find the number.

Answers

Answer:

awd

Step-by-step explanation:

The given conditions can be satisfied by the numbers 16 and 61.

What is place value?

The foundation of our entire number system is place value. In this approach, the value of a digit in a number is determined by where it appears in the number.

Given, The sum of the digits of two numbers is 7. The product the number and its reverse number are formed by Interchanging the digits is 976.

Let "xy" be the given two-digit number.

Thus,

x +y =7....(1)

and (10x+y)(10y + x) = 976

100xy + 10y² + 10x² + xy = 976

101xy + 10y² + 10x² = 976

From equation 1

707x - 101x² + 490 +10x² - 140x + 10x² = 976

-81x² + 567x = 486

x² - 7x + 6 = 0

Thus x = 1, 6

y = 6,1

Therefore, The number that satisfies the given conditions is 16 or 61.

Learn more about place value here:

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Please help I’ve been stuck on this for over 20 mins!

Answers

Answer:

5 1/3

Step-by-step explanation:

2÷3/8=

2*8/3=5 1/3

Answer:

The quotient is 5 and 1/3

Step-by-step explanation:

2 ÷ 3/8 = 2/1 × 8/3[tex]\frac{2}{1}[/tex] × [tex]\frac{8}{3} = \frac{16}{3}[/tex]  [tex]\frac{16}{3} = 5\frac{1}{3}[/tex]  

I hope this helps!

find the 20th term from the last term of the AP:3,8,13,............,253​

Answers

Answer:

THE ANSWER IS 198

I HOPE THIS MAY HELP YOU

Answer:

3,8,13,198,253

Hope this helps

What is the product of 6s and (-2s²+4s-10)?

A)4s²+4s-10
B)-2s²+10s-10
C)-12s³+24s-60
D)-12s³+24s²-60s

Answers

Answer:

D

Step-by-step explanation:

Product means multiplication. Since we are multiplying 6s to (-2s²+4s-10), we will use the distributive property to solve.

6s(-2s² + 4s - 10)

-12s³ + 24² - 60

Best of Luck!

D

Step-by-step explanation:

Product means multiplication. Since we are multiplying 6s to (-2s²+4s-10), we will use the distributive property to solve.

6s(-2s² + 4s - 10)

-12s³ + 24² - 60

Best of Luck!

Weatherman Glenn Burns predicts there to be 4.25 inches of rain on Saturday. On Saturday, it actually rains 6.5 inches. How much percent error was Glenn Burns from being accurate?

Answers

Answer:

  the prediction was about 35% too low

Step-by-step explanation:

We generally define percent error as the difference between a measurement and an actual value, as a fraction of the actual value. Here, the actual value is 6.5 inches, so we can compute the error to be ...

  (4.25 -6.5)/6.5 × 100% = -34.6%

Burns' prediction was about 35% too low.

5.505, 5.55, 0.555, 5.005 from greatest to least.

Answers

Answer:

5.555

Step-by-step explanation:

because this is big then other no

PLEASE HELP ME
WILL AWARD BRAINLIEST

Answers

Answer:

I think the answer is b

Step-by-step explanation:

there are the same number of squares in both shapes.

The answer is B

Because they have the same number of boxes, they are just rearranged in the second picture.

Help Asap !Solve For X In The Diagram.

Answers

Answer:

X = 5

Step-by-step explanation:

suppose that angle TSU is y so

23x+5+y = 180

23x+y = 175

now again in traingle TSU

55+14x-5+y = 180

x = 130-y /14

substitute the value of x in 1st equation

ans will be 5

Answer:

x = 6.111

Step-by-step explanation:

The supplement of <AST = 180 - (23x - 5) That supplement is inside the triangle.

Solution

Add the three angles together to get 180

180-(23x - 5) + 14x-5 + 55 = 180         Remove the brackets

180 - 23x + 5 + 14x - 5 + 55 = 180      Combine

-9x + 55 + 180 = 180                        Subtract 180 from both sides.

-9x + 55 = 0                                     Subtract 55 from both sides

-9x = - 55                                         Divide by -9

x = -55/-9

x = 6.111

Check

180 - (23*6.111 - 5) + 14*6.111 - 5 + 55= 180

180 - 140.555 + 5 + 85.555 -5  + 55 = 180

39.445 + 85.555 + 55 = 180

180 = 180

Question 1
Use the figure below for questions 1 – 4.
1. Name a plane parallel to plane DEF.
2. Name a segment parallel to FC.
3. Name a segment parallel to AB.
4. Name a segment skew to DE.

Answers

Answer:

1. plane parallel- ABC

2. segment parallel- DA

3. segment parallel- DE

4. segmney skew- FC

The required answers are,

1. A plane parallel to plane DEF is ABC.

2. A segment parallel to FC is AD.

3. A segment parallel to AB is DE.

4. A segment skew to DE is FC.

What are segments and planes?

A segment is a set of points consisting of two points of the line called the endpoints, and all of the points of the line between the endpoints.

In mathematics, a plane is a flat, two-dimensional surface that extends indefinitely.

Now from the given figure following information can be extracted-

Plane of DEF is parallel to plane ABC,

Segment FC is parallel to segment AD,

Segment AB is parallel to segment DE,

Segment DE is skew to segment FC.

Thus, the required answers are,

1. A plane parallel to plane DEF is ABC.

2. A segment parallel to FC is AD.

3. A segment parallel to AB is DE.

4. A segment skew to DE is FC.

To learn more about segments and planes :

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-5f - 3=7 what does f equal

Answers

Answer:

-2

Step-by-step explanation:

First, add 3 to both sides

-5f-3+3=7+3

Simplify

-5f=10

Then, isolate the variable by dividing both sides by -5

-5f/-5=10/-5

Simplify

f=-2

PLZ HELP! PART OF A UNIT TEST IN K12! MARKING BRAINLIEST FOR CORRECT ANSWER! simplify: (√−27) * (√−32)

Answers

This might be the answer: -12/6
(I don’t have that sign on my phone but I tried to make it accurate)
If I’m wrong then sorry

Someone please help me

Answers

Answer: 102 degrees

Answer:

102

Step-by-step explanation

A straight line is 180, half of 360. So if you have 78, you subtract it from 180 to get 102.

Are there more elderly men or women around the world? Why might that be the case?

Answers

The evidence is limited and we only have partial answers. We know that biological, behavioral and environmental factors all contribute to the fact that women live longer than men; but we don’t know exactly how strong the relative contribution of each of these factors is.

-3≤2x-3≤3 solve the inequality and graph

Answers

Answer:

Solve for the inequality 0≤x≤3

Step-by-step explanation:

The lengths of the sides of a triangle are 7. and 10. If the length of the longest side of a similar triangle is 25. what is the length of the shortest side of this triangle?

Answers

Answer: 17.5

Step-by-step explanation:

7:10 = x:25

times both sides by 25

25(7/10) =x

than solve for x

X = 25 × (7/10)

X = 17.5

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Problem 4:The hypotenuse of a right angled triangle is 20 cm. The difference between its other two sides is 4 cm. Find the length of the sides. Please help!!What does the poster exemplify?A.) historical contextB.) hagiography C.) hypothesisD.) propaganda E.) historiography Jason Day Company had bonds outstanding with a maturity value of $300,000. On April 30, 2020, when these bonds had an unamortized discount of $10,000, they were called in at 104. To pay for these bonds, Day had issued other bonds a month earlier bearing a lower interest rate. The newly issued bonds had a life of 10 years. The new bonds were issued at 103 (face value $300,000). Required:Compute the gain or loss. To which planet do scientists compare Kepler-10b? A plane ticket to New York costs 120 the tax is 9.5 what is the cost of the flight could someone tell me if im correct what was the purpose behind Chief Ackowanothie's Speech Which event is caused by gravity According to dimensional analysis, which of the following is the correct set-upfor the problem "How many milligrams are there in 67 kiolgrams?"1 mga) 67 kg x1 g10 kg10 g108b) 67 kg x1mgX1 kg10 g10 mg(102c) 67 kg xg71 kg1 mg10-3 kg1 mgd) 67 kg x10 kgA aBbC C Please help me I cant figure it out random greentext that I found lol Which choice best expresses the meaning of the simile "His claws peep through like Rays of Light" in the second stanza?a The shape of the cat's claws are similar to light rays.b The claws are the sun's rays that shine light at the break of dawn.c The cat uses his claws to block lights that are too bright.d The sun radiates light and sunshine on everything. 1) The Boateng family has a sickening house whose layout is shownabove. They would like to renovate just bedrooms #2 and 3. Because youare a contractor, you receive 20% off from Home Depot whenever youmake any purchases. If Home Depot sells your client's ideal wool carpetfor $8.99 per square foot, how much will it cost to carpet bothbedrooms? (Keep in mind that 10'8" would be written as a decimalapproximation of 10.67 ft. Think about why this is.)a) How many total square feet of carpeting will you need? Last Friday Mary had $28 over the weekend she received some money for washing the dog she now has $42 how much money does she receive Help me out thankkk you After transcription, the new mRNA strand travels to the cytoplasm and over to the ___________ where the genetic code will be translated into amino acids.nucleuscell membraneribosomesgolgi bodies What can you infer from the fact that the first Civil War battles had spectators?A People enjoyed spending time outdoorB People did not realize how serious the war would become C People did not know that war could be violent D People realized that the war would last for years Solve the inequality. c + 5 10 if something is difficult,do you give up 4x-5x+7-9y+2x+34(Simply)