Could someone help me?

Why does x^4 * x^-4 = 1?

Answers

Answer 1

Answer:

Step-by-step explanation:

when you have a negative exponent, you are going to have a fraction. Example: 2^4 * 2^-4= 2^4 is 16 2^-4 is 1/16.

You get the 16 but because it was a negative exponent, the 16 goes on the bottom. 16 as a fraction is 16/1.

When you multiply 16/1 and 1/16. It comes up to 16/16 or 1.

Does this help?

Answer 2

Answer:

below

Step-by-step explanation:

We can use the product rule of exponents to solve [ x^y * x^z = x^y+z ].

x^4 * x^-4 = 1

x^4+(-4) = 1

x^0 = 1

1 = 1

Best of Luck!


Related Questions

all you need is in the photo ​

Answers

Answer:

Bottom to top -

0,-3

0,1

1,2

g(x)=x^2-2,find the range for the domain​

Answers

Range:[-2,8)
That’s the range for the domain down below

4 consecutive integers have a sum of 22. What is the least of the 4 integers?

Answers

Answer:

The least of the four integers is 4.

Step-by-step explanation:

Let x be the first integer.

x + (x + 1) + (x +2) + (x + 3) = 22

4x + 6 = 22

4x = 16

x = 4

4 + 5 + 6 + 7 = 22

PLEASE HELP ME ARRAGE THESE I WILL GIVE YOU THE BRAINLIEST!!!!!!!!!!!!
The average low temperatures in January are given for a few cities. Arrange the cities in increasing order of their temperatures. Littlefork -9°F Boston 22°F Barrow -19°F Topeka 20°F Chicago 18°F

Answers

Answer:

Step-by-step explanation:

-22 -20 -19 -9

Answer: Barrow -19F < Littlefork -9F < Chicago 18F < Topeka 20F < Boston 22FStep-by-step explanation:Got it correct on plato!!

i need help to solve please

Answers

Step-by-step explanation:

4x+3+63+90=180°

4x+156=180°

4x=180-156

4x=24°

x=24

4

x=12° ans

hope it is correct.

Answer:

6!

Step-by-step explanation:

I'm not as sure about this answer, but I got it like this!

We know that a triangle adds up to 180. Two of our given measurements are 90 and 63. Adding those together we get 153. To solve for x, you'd have to subtract that from 180.

From there, you get 27! That's the answer to the equation, but not the value of x.

4 time 6 ( which is x) is 24, plus 3 is 27, so we know that x is 6!

I hope this helped, and made sense!!

The leg of a right triangle are 3 units and 7 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth.

Answers

Step-by-step explanation:

Can you show the picture then i will edit it

Answer:

7.62 units

Step-by-step explanation:

c=a2+b2=32+72≈7.61577

Google is still your Best friend.

Charlie deposited $115 in a savings account. Each week thereafter, he deposits $35 into the account. How much money has Charlie deposited after 30 weeks

Answers

$1,165
35 x 30= 1,050 + 115= 1,165

Use the graph to answer the following questions.

Answers

Input is 4
X=10y
f(x)=100

Ramon earns $1,880 each month and pays $53.20 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Ramon spends % of his earnings on electricity each month.

Answers

Answer:

my buttholw

Step-by-step explanation:

does anyone know any simpler ways of doing long division?
( ̄▽ ̄*)ゞ​

Answers

Answer: calculator?

Step-by-step explanation:

I need help ASAP NO ROCKY!!!!

Answers

Answer:

a: 10% b: 25/100 c: 1/2

Step-by-step explanation:

Answer:

10% for A  25/100 For B 1/2 for C

Step-by-step explanation:

I need help with this one

Answers

Answer:

r = I/P*t

Step-by-step explanation:

So I dont know how to explain it but to show you how to do it.

I = Prt

Divide both sides by Pt to get r alone

[tex]\frac{I}{Pt} = r[/tex]

Therefore your answer is r = I/P*t

Hopes this help :)

Mrs. Taylor wanted the chocolate ice cream. Ms. Pellegrino wanted the strawberry ice cream. While Mrs. Armstrong wanted the mint ice cream. They all knew that the cones had a diameter of 10 cm but they wanted to know the area of all of the ice creams combined. The total area of the ice cream is
_______cm2

Answers

Answer:

The surface area of each ice cream of the three ice cream  is approximately 706.86 cm²

Step-by-step explanation:

The given parameters are;

The diameter of the cones = 10 cm

The radius of the cone, r = 5 cm

The assumption of the shape of the capping of the ice cream = Hemisphere

The surface area of an hemisphere = 3·π·r²

The surface area of each ice cream = 3 × π × (5 cm)² ≈ 235.62 cm²

The surface area of each ice cream of the three ice cream  = 3 × 235.62 ≈ 706.86 cm²

The surface area of each ice cream of the three ice cream  ≈ 706.86 cm².

what are 2 possible values for x and y.

Answers

Answer:

A

Step-by-step explanation:

Answer:

it's answer is X=5 and y=6 because A is in continuous so B must be the same

Given the two points (3,7) and (-2,3) write the equation of the line. Enter in the form y=mx+b (do not put any spaces)

Answers

can I see a picture or sm?

what is .....”36 x 10/7 x 21/8=?”

Answers

it is 135 and just use Photomatix on your phone

This year, a herd of bison had 10% increase in population. If there was 550 bison in the herd last year, how many are in the herd this year?

Answers

Answer: 605

Step-by-step explanation:

Last year            This year

550 x 1.1      =     605

The answer I got is 605

Question 12 (1 point) Saved An angle measuring 28.3 radians is drawn in standard position? In what quadrant will the terminal side of this angle lie? Express your answer as a Roman numeral. I III IV​

Answers

Answer:

Answer: III

Step-by-step explanation:

Quadrants

Given an angle in degrees, if its value is:

Between 0° and 90°, it lies in the first quadrant ( I )

Between 90° and 180°, it lies in the second quadrant ( II )

Between 180° and 270°, it lies in the third quadrant ( III )

Between 270° and 360°, it lies in the fourth quadrant ( IV )

We are given an angle of 28.3 radians. Converting to degrees:

[tex]28.3*180/\pi=1621^\circ[/tex]

To convert the angle to its standard position, we divide it by 360° and take the remainder:

1621/360 = 4 (integer part)

Remainder= 1621 - 4*360 = 181°

Since its value is between 180° and 270°, it lies in the third quadrant ( III )

Answer: III

2. What are the solutions to the quadratic equation
x? - 25 = 0

x = 5 and x = -5
x = 25 and x = -25
x = 125 and x = -125
no real solution

Answers

Answer:

The answer is x=5 and x=−5

x² - 25 = 0

(x-5)(x+5)=0

x²-5x+5x-25=0

x-5=0 x+5=0

x=5 or x=-5

6. A tank is being filled with water. The graph shows the
amount of water over time as the tank is being filled.
Water in a Tank
90
60
Water (gal)
30
O
1 2 3
Time (min)
Date:
Class:
Complete the statement to best describe the rate of change
for this situation.
gallons per
The amount of the water increases
minute
1

Answers

Answer:

30 gallons per minute

Step-by-step explanation:

the answer is 30 gallons per minute

Find the 5th term of the
sequence: -8,-1, 6, 13...

Answers

Answer:

20

Step-by-step explanation:

you add 7 each time

Answer:

20

Step-by-step explanation:

Find the pattern: +7. so the next one is 13+7 which is 20.

Hope this helps plz mark brainliest :D


The office manager of a small office ordered 180 packs of printer paper. Based on average daily use,
she knows that the paper will last about 40 days. How many packs of printer paper should the manager
expect to have after 35 days?

Answers

Answer:

22.5 packs of printer paper

Step-by-step explanation:

180/40 = 4.5

at a use of 4.5 per day over a period of 35 days, you have used 157.5

180-157.5 = 22.5

The number of packs of printer paper left after 35 days is given by the equation A = 27.5 packs of printing paper

What is an 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.

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 data ,

Let the number of packs of printer paper left after 35 days be A

Now , the equation will be

The total number of paper packs = 180 packs

The total number of days for the 180 packs of paper = 40 days

So , the number of packs of paper for 1 day = total number of paper packs / total number of days for the 180 packs of paper

Substituting the values in the equation , we get

The number of packs of paper for 1 day = 180 / 40

The number of packs of paper for 1 day = 4.5 paper packs a day

Now , the number of packs of paper for 35 days = 35 x number of packs of paper for 1 day

Substituting the values in the equation , we get

The number of packs of paper for 35 days = 35 x 4.5

The number of packs of paper for 35 days = 157.5 packs of paper

So , the number of packs of printer paper left after 35 days = total number of paper packs - number of packs of paper for 35 days

Substituting the values in the equation , we get

The number of packs of printer paper left after 35 days A = 180 - 157.5

The number of packs of printer paper left after 35 days A = 22.5 packs

Therefore , the value of A is 22.5 packs of paper

Hence , the number of packs of paper remaining is 22.5 packs

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Convert the following equation into Standard Form. ​

Answers

Answer:

answer

Step-by-step explanation:

5y=6y+5 thanks

Answer:

Look It Up

Step-by-step explanation:

Hellooo is this true or false? Ill give brainliest if its right

Answers

Answer:

its true

Step-by-step explanation:

so we have the values of y its 4 and 2 we dont have a vlaue for x because its 0

hope this helps mark brainlest if so please and thank you

Answer:

false

Step-by-step explanation:

there is a y intercept but the x is not at zero

The regular price of a baseball hat is 14.45$. If Carlos buys the baseball hat on sale for 20% off the regular price, how much change will he receive after paying with 20$

Answers

Answer:

$8.44

Step-by-step explanation:

To find the 20%

x/14.45=20/100

14.45×20=289

289÷100=2.89

We then subtract 2.89 from 14.45 to get the selling price.

14.45-2.89=11.56

$11.56 is the price of the baseball hat on sale.

To get the change

20-11.56=8.44

$8.44 is the change

I hope this helped! :)

If PQR ≈ STU complete each part

Answers

Answer:

3 = 21 degrees

5 = 21 degrees

1 = 60 degrees

2 = 39 degrees

4 = 39 degrees

Step-by-step explanation:

This problem is really quite easy once you break it down. I assume you want an answer based on the attachment. If a triangle is Isosceles, then its bottom two angles are congruent, so angle 3 = angle 5.

Then, 138 degrees + x * 2 = 180 degrees.

x * 2 = 42 degrees

x = 21 degrees

So 3 and 5 are each 21 degrees

If a triangle is equilateral, then it is also equiangular, meaning each of its angles are equal to each other, and they are each 60 degrees. Then, we know angle 1 is 60 degrees. For 2 and 4, we want to take the measure of the combination of 2 and 3 (the full 60 degrees), and subtract it by the measure of angle 3 to get the measure of angle 2. 60 - 21 = 39 degrees. Angle 2 is 39 degrees. The same can be done with angle 5 and 4 because they are the same measurements.

In the diagram, ∠AOB and ∠COB form a linear pair. Which statement must be true about the angles?
A. ∠AOB and ∠COB are supplementary to each other.
B. ∠AOB and ∠COB are supplementary to the same angle.
C. ∠AOB and ∠COB are complementary to each other.
D. ∠AOB and ∠COB are complementary to the same angle.
Please give me a serious answer, and if you don't know what to answer then don't, please.

Answers

Answer:

[tex]{{\underline{\textsf{\textbf{A. ∠AOB and ∠COB are supplementary to each other. }}}}}[/tex]

Step-by-step explanation:

As in the question given that, ∠AOB and ∠COB are linear pair and being theses angles are supplements it will form 180°. Hence, option A is the correct ✔️

∠AOB and ∠COB forms a linear pair

∠AOB and ∠COB are supplementary to each other

Given :

In the diagram, ∠AOB and ∠COB form a linear pair.

∠AOB and ∠COB forms a straight line . the sum of angles in a straight line is 180 degrees.

When the sum of angles is equal to 180 degree then they are called as supplementary angles.

∠AOB and ∠COB form a linear pair.

[tex]<AOB +<COB =180[/tex]

the sum of both the angles are equal to 180 degrees .

So, ∠AOB and ∠COB  are supplementary to each other.

Learn more :  brainly.com/question/1793236

The temperature is dropping at a rate of 2 1/2 degrees each hour for 4 1/4 hours how much did the temperature change?

Answers

Answer:

-10.625°C

Step-by-step explanation:

-2.5 each hour

4.25hours in total

-2.5*4.25= -10.625

Desiree created a website with separate pages for videos, games, photos and poems. She made the table below to
show how many clicks each of these pages got on Tuesday. What is the ratio of clicks on the game page to clicks
on the video page in simplest form?

Answers

Answer: 3 to 2

Step-by-step explanation:

You simplify the ratio :)

find the zeros of f(x)= x⁴-2x³+10x²-18x+9, given a zero at x=1

Answers

Answer: f(1)=0

Step-by-step explanation:

replace x by 1

[tex]f(1)=1^{4}-2(1)^{3}+10(1)^{2}-18(1)+9[/tex]

f(1)= 1-2(1)+10(1)-18+9

f(1)= 1-2+10-18+9

f(1)= 1+10+9-2-18

f(1)= 20-20

f(1)= 0

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