Mathematics High School

what laws of exponent they are:

1. (x-²)-³ = x⁶
2. (a^m)^n = a^m^n
3. a⁰ = 0
​

Answers

Answer 1

Answer:

The laws of exponents are:

a)  (x^n)*(x^m) = x^(n + m)

b)  (x^n)/(x^m) = x^(n - m)

c)  (x^n)^m = x^(n*m)

Now, let's see the given equations:

1) (x-²)-³ = x⁶   (true)

Here we se the third law, the "c"

(x^(-2))^(-3) = x^(-2*-3) = x^6

Then this equation is correct.

2)  (a^m)^n = a^m^n   (false)

This law does not exist, this is false.

An example of why this is false is:

Let's use the values:

a = 2, m = 1, and n = 2

then, in the left side we have:

(2^1)^2 = (2)^2 = 4

And in the right side we have:

2^(1^2) = 2^(1) = 2

We can see that we have different things in the left side than in the right side, then that relation is false.

3)  a⁰ = 0  (false)

Let's rewrite this as:

a^0 = a^(n - n)

Now we can use the second law to rewrite this as:

a^(n - n)  = (a^n)/(a^n)

And we have a number divided by the exact same number, we know that this is equal to 1, then:

(a^n)/(a^n) = 1

this means that:

a^0 = 1.

Then this is also false.

The only correct option is the first one.

Related Questions

What is the equation for the line that passes through the point (9,6) and has a slope of -1
y=1x+9
y=1x+15

Answers

Answer:

y=-x+15

Step-by-step explanation:

hope this helps :)

Use the coordinate plane to write the ordered pair for each plotted point. Help fast

Answers

Answer:

a is ( 4,8) B is ( 6,5) and c is ( 2.3)

Step-by-step explanation:

5h=srt solve for t please help

Answers

Answer:

5h/sr=t

Step-by-step explanation:

To get t alone basically all you do is divide 5h by s and r.

So the new equation would be 5h / sr = t

Please help-help-help

Answers

Answer:

both I think hope u get it right

square root of 9 multiplied by square root of 180

Answers

Square root of 9 is 3 square root of 180 is 13.416roundes 3x13.416 is 40.248

Answer:

18√5

Step-by-step explanation:

√9×√180

from √9 we get 3 cause 3² is 9.

from 180 we get 6√5 because √36×5 is √180.

we took 36 out because it gives us a whole number if we square root it.

So √36×5 is 6√5 , because the square root of 36 is 6

then we multiply 3 and 6√5.

3×6 is 18 so we put 18 and put the √5 behind it.

HELP !!!!!!! MAHH HELP PLEASE !!!!

Answers

A. ( 5 , 3 )
B. ( 3 , -1 )
C. ( 1 , 2 )
D. ( 6 , 3 )
E. ( 9 , 2 )
F. ( 2 , -5 )
G. ( 2 , -3 )
H. (-16/11 , 28/11 )


Please mark BRAINLEST


Different cities have different sales tax rates. Here are the sales tax charges on the same items in two different cities.
Complete the tables.

Answers

I think the lamp is 26.5? because maybe it is 25+1.50 since the first one was 8.00+0.48 I'm not sure about the others sorry:( I hope you'll get your answer though!

what is a better deal 12 cans for $0.88 each or 16 cans for $ 0.85 each

Answers

I’ll pay 10.56$ for 12 or 13.60$ for 16... 12 cans is the best option in my opinion

16 cans for .85 cents is a better deal because it is less cents per can than there is in the other deal. May I please be the brainiest? I have never been that and I would love it

50 points!! Look at both pics attached! I need this done ASAP! Put random answers and I will report you

Answers

Answer:

For the first: [tex]x=-23[/tex] and [tex]x=17[/tex]

For the second: [tex]x=5[/tex]

Step-by-step explanation:

Answer:

x=17 for the first and x=5 for the second.

Step-by-step explanation:

First picture

Opposite angles of two intersecting lines are equal.

So the angle opposite the 100 degree angle on line c is also 100.

Since a, b, and c are all parallel, the angles made by the intersecting line r, are also all equal (these are corresponding angles).

So 5x + 15 = 100

5x = 85

x = 17

Second picture

Adjacent angles add up to 180 degrees.  So the angle opposite 52 is 180-52=128.

[tex]2^{2x-3}=128\\\\2x-3 = 7\\2x = 10\\x=5[/tex]

What is the opposite of -1/2

Answers

Answer: 1/2

Step-by-step explanation:

Just remove the negative

1/2? Is the opposite of 1/2?

please help me on this! thank you!

Answers

Answer:

true

equation

equation

expression

Step-by-step explanation:

this is super easy to remember. :)

EQUations have EQUALS

it's that easy :)

The first one is true I thank :)

7/8pq + 5/16pq
someone please help me ​

Answers

19/16 or 1 3/16 :D I hope this helped u

The value of a car decreases by 20% per year Mr sing purchases a $22,000 automobile what is the value of that car at the end of the second year?

Answers

8,900. 20% of 22,000 is 2,400 so multiple that by two and you get 8,900 then y’all subtract 8,900 by the 22,000 and get 13,100

NEED HELP NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Factor completely 5x2 − 5x − 100.

Answers

Answer:

5(x - 5)(x + 4)

Step-by-step explanation:

Given

5x² - 5x - 100 ← factor out 5 from each term

= 5(x² - x - 20) ← factor the quadratic

Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (- 1)

The factors are - 5 and + 4, since

- 5 × 4 = - 20 and - 5 + 4 = - 1, then

x² - x - 20 = (x - 5)(x + 4) and

5x² - 5x - 100 = 5(x - 5)(x + 4)

Answer:

Step-by-step explanation:

here you go mate

step 1

5x2 − 5x − 100  equation

step 2

5x2 − 5x − 100  factor

5x^2 - 5x - 100 = 5

answer

5(x+4)(x-5)

Find the value of x using the pythagorean theorem.

Answers

Answer:

2√13

Step-by-step explanation:

make it braintliest please

Step-by-step explanation:

[tex]\huge\bold\purple{ 7.21 }[/tex]

can someone help me pls

Answers

I shown my work in the picture below along with the answer

Work out the value of (6.8 x 10^2) x (1.3 x 10^-3)

Answers

Answer:

worked it out.

Step-by-step explanation:

0.884

8×84×10-1

Which of the following is the product (3x - 5) and (3x + 5)?

Answers

Answer:

the answer is

....9x^2 - 25

(1 + 2/3)*(1+2/5)*(1+2/7)*(1+2/9)

Answers

Answer:  11/3 or 3.6 or 3 2/3

Step-by-step explanation:

All you have to do is simplify the expression

Solve the inequality. Graph the solution.

5(9 + 4) > 15

Answers

Answer:

barely any pounts, √

Step-by-step explanation:

SYSTEMS OF EQUATIONS- How many solutions?
Sy = 5x + 12
y = 5x + 18
O one solution
O no solution
O many solutions

Answers

Answer:

No solutions

Step-by-step explanation:

They have the same slope(5), meaning that they are parallel. since they are parallel they will never touch, thus there are no solutions

Joey is standing on a diving board that is 5.6 feet above sea level. Joey dives into the water to a depth of -8.6 feet below sea level. Which equation can be used to determine Joey's change in altitude during the dive? 5.6 − (-8.6) = 14.2 5.6 + 3.0 = 8.6 -5.6 + 14.2 = -8.6 5.6 − 8.6 = -14.2

Answers

Answer:

the last one

Step-by-step explanation:

Answer:

1st equation

Step-by-step explanation:

hi, can you please solve that ?
​

Answers

Answer:

A.

Step-by-step explanation:

You need to solve for p on both inequalities.

4 ≤ p - 8

12 ≤ p

p - 14 ≤ 2

p ≤ 16

This means that p is greater than or equal to 12 but less than or equal to 16.

12 ≤ p ≤ 16

Therefore, the answer is A.

The answer is A :)

-hope it helped

There are 372 players in a tennis tournament. In each round, half of the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?​

Answers

Answer:show ur homework page I have the same one I think

Step-by-step explanation:

A metal plate is 8.431 centimeters wide. Which is this measure written in word form?

Answers

Answer:

Eight and one hundred thirty-four thousandths

Step-by-step explanation:

Thats how u write it in word form! i hope this helped :)

The required word form of the measure 8.431  centimeters wide is eight and one hundred thirty-four thousandths centimeters wide.

What is a unit of measurement?

Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.

Here,
The required number is 8.431, which can be written in word form as,
8.431 = Eight and one hundred thirty-four thousandths centimeters wide

Thus, the required word form of the measure 8.431  centimeters wide is eight and one hundred thirty-four thousandths centimeters wide.

Learn more about measurement here:

brainly.com/question/12629581

#SPJ6


MY TEACHER IS ON THIS APP LOL

Answers

Answer:

hijjjhhhhghhhhhhjjiuuuu

Answer:

lol. :-):-):-):-):-):-) ^_^

Melina wants to achieve a race of 22 miles an hour. She completes 10 miles in 30 mins. Did Melina achieve her goal ?

Answers

No. If she went 10 miles in 30 minutes, then she will travel 20 miles in 60 minutes (one hour). Her goal was to achieve 22 miles in an hour, so she came up a little short of her goal.

BRAINLESS




don't answer if you don't know the answer to the question



The triangle is rotated 90° clockwise around the point (0,0). What will be the coordinates of the image of point L after the rotation?

Answers

Answer:

B

Step-by-step explanation:

You see the long side is right on the x axis so the L point will be the same length from itd rotation. Its rotation will have the long side laying along the Y axis and making it (2, 6)

I need helpn asap , i been on this for the longest

Answers

Answer:

12,180g

Step-by-step explanation:

3x7=21

21x580g=12,180g

12.18 kilograms

she used 580 grams each day for each day of the week. so first do 580 X 7 =4060. then multiply 4060 by 3 because it was for three weeks. you then have 12180 grams. to go from grams to kilograms you need to divide the grams by 1000. so 12180/1000=12.18 :) i hope this helped

On a field trip they take busses and vans. Each bus holds 60 people and each van holds 10 people. If 390 people went on the trip and they took a total of 9 vehicles, how many of each type of vehicle did they take?

Answers

Answer:

6 buses and 3 vans

Step-by-step explanation:

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