Simplify each expression.
ab
Q=0,b=0
-222
4
0
55
6
6
57
00
8
Q
10
1
8 2.10

Simplify Each Expression.abQ=0,b=0-22240556657008Q1018 2.10

Answers

Answer 1

Step-by-step explanation:

remember that x^-n means 1/(x^n).

x^a × x^b = x^(a+b)

x^a / x^b = x^(a-b)

(x^a)^b = x^(a×b)

(x×y)^n = x^n × y^n

so,

a^2 / a^-2 = a^(2 - -2) = a^4

and

b^-3 / b^2 = b^(-3 - 2) = b^-5 = 1/(b^5)

that means we have then :

(a^4 × b^-5)^2 = (a^4)^2 × (b^-5)^2 = a^8 × b^-10 =

= a^8 / b^10 = a⁸/b¹⁰


Related Questions

A scale model of a football stadium has a scale of 1 : 360.

a. The actual length of the football field including the end zones is

120 yards. How long in inches is the football field in the model?



b. How many times the length of the model is the length of the

actual stadium?

show work

Answers

The length of the model is 3 times that of the actual stadium

Scale model of an object

Given the scale model of a football stadium to be 1:360

If the actual length is 120yards, the length of the football field will be expressed as:

L = 120/360

L = 1/3 yards

L = 1/3 * 36 = 12 inches

Length of the actual stadium = 40 yards

Length of the new stadium = 120 yards

Let x be the multiply

40x = 120

x = 3

Hence the length of the model is 3 times that of the actual stadium

Learn more on scale model here: https://brainly.com/question/261465

I am Pat, Good Legs Lance, and Colorado Bronze are horses in a horse race. Their probabilities of winning the race are as follows:
\text{P(I Am Pat wins}) = \dfrac{3}{10}P(I Am Pat wins)=
10
3

start text, P, left parenthesis, I, space, A, m, space, P, a, t, space, w, i, n, s, end text, right parenthesis, equals, start fraction, 3, divided by, 10, end fraction
\text{P(Good Legs Lance wins}) = 0.6P(Good Legs Lance wins)=0.6start text, P, left parenthesis, G, o, o, d, space, L, e, g, s, space, L, a, n, c, e, space, w, i, n, s, end text, right parenthesis, equals, 0, point, 6
\text{P(Colorado Bronze wins}) = 10\%P(Colorado Bronze wins)=10%start text, P, left parenthesis, C, o, l, o, r, a, d, o, space, B, r, o, n, z, e, space, w, i, n, s, end text, right parenthesis, equals, 10, percent
Put the following events in order from least to most likely.

Answers

B can’t stop to get me

Answer: Colorado Bronze wins , I am pat wins , Good legs Lance Wins

Step-by-step explanation:

A dinner plate has a circumference of 113.04 cm. What is the area of the dinner plate? (Use 3.14 for pi)
A.
56.52 cm2
B.
2,034.72 cm2
C.
226.08 cm2
D.
1,017.36 cm2

Answers

Answer:

D

Step-by-step explanation:

Please help I need it

Answers

Answer:

35<A<36

Step-by-step explanation:

i dont understand the second question we study in french :(

Step-by-step explanation:

look at the green point.

what is the closest whole number to the green point ?

to me it is very clearly 35.

you understand what a whole number is ?

it is a number without any fractional part.

so, like 1, 2, 3 ...

and not like 1.5, 0.33, 17.892 ...

and the nearest ten (number)?

what that means is something like 10, 20, 30, ...

so, clearly, from the position of A, it is closer to 40 than to 30 (as it is right of the middle 35).

therefore, A rounded to the nearest ten is 40.

Can someone who understands this help me?????? Thank you so much!!!!!!!!

Find f(-3)

Please someone help me I don't get it!!!!!!!!!!! *LOTS OF POINTS*

NO RANDOM ANSWERS PLEASE
I RLLY NEED UR HELP!!!!!!!

Answers

what is f(-3) is another way to say "what is the value of f(x) when x = -3?", well for that we can simply look at the piece-wise function graphed, Check the picture below.

Elsa got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 17 cents per yard. If after that purchase there was $19.05 left on the card, how many yards of ribbon did Elsa buy?

Answers

Answer:

The answer is 35 yards

Step-by-step explanation:

25-19.05 = 5.95

5.95/0.17 = 35 yards

1/5 (4x-2.5) = 5(0.4+10)+ 3 1/2

Answers

Answer:

x = 70

Step-by-step explanation:

To solve, we need to get x all by itself. The right side can be simplified by adding 0.4 and 10 first. Then multiply by 5, then add 3 1/2. See image. You get 277.5 on the right.

To get rid of the 1/5, i think its easier to multiply both sides by 5. (Another way is to distribute the 1/5, but i didn't do it that way)

Then add 2.5.

Then divide by 4.

see image.

an outdoor swimming pool costs $9 per day to visit during the summer. there is also a $25 yearly registration fee. is the total proportional to the number of days visited? make a table then explain why or why not this proportional relationship

Answers

Answer:

No

Step-by-step explanation:

cost=25+8d

To be proportional you'd have to have no flat fee: cost=8d

1 day = $8

2 days = $16

5 days = $40

10 days = $80, etc.

I hope I helped.

Answer:

no

Step-by-step explanation:

Since there is a $25 yearly registration fee, the total price will never be directly proportional to the number of days visited because if the number of days visited is multiplied by 9, it will have a leftover yearly registration fee, which cannot be accounted for unless written with a function. See the attached image for a table.

Find the value of x I need to know

Answers

Answer:

x = 28

Step-by-step explanation:

The angle is 90 degrees. (right angle)

Based on the information given, part of the angle is 33 degrees.

Given this information, 2x + 1 = 90 - 33

90 - 33 = 57

2x + 1 = 57

2x + 1 - 1 = 57 - 1

2x = 56

56 / 2 = 28

Answer:

x=28

Step-by-step explanation:

1) 2x+1+33= 90

2) 2x+34=90

3) 2x= 56

4) x= 28

There are 21 flowers. If 9 of the flowers
are yellow, what fraction of the flowers is
yellow?

Answers

Answer:

3/7

Explanation:

9 yellow flowers / 21 number of flowers

9/21 = 3/7

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP

Answers

The first one false and the second one true so sorry if it's wrong-

Factorise fully 9x^2 + 6x

Answers

answer is 3x(3x+2) as they are factor of 3

The requried, 9x² + 6x can be fully factorised as 3x(3x + 2).

What are the factors?

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,

To factorize fully 9x² + 6x, we can factor out the most significant common factor of the two terms, which is 3x:

9x² + 6x = 3x(3x + 2)

Therefore, 9x² + 6x can be fully factorised as 3x(3x + 2).

Learn more about Factors here:

https://brainly.com/question/24182713

#SPJ2

1
Which choice best represents the slope-intercept form of a straight line?
Ay=mx – 6
B x = my + b
Cy= mx + b
D b= mx + y

Answers

The answer is C, y=mx+b ! i thinkkk lolll

Which equation should be used to calculate the 43rd partial sum for the arithmetic sequence.

Answers

Answer: First Option : Sₙ= n/2(a₁ + aₙ)

Step-by-step explanation:

The nth partial sum of an arithmetic sequence or the sum of the first n terms of the arithmetic series can be defined as the sum of a finite number of term in an arithmetic sequence.

It is calculated using the formula:

Sₙ= n/2(a₁ + aₙ)

Where :

a₁ = First term

aₙ = last term

n = number of terms

a pizza has a diameter of 16 inches what is the area of the pizza leave answer in terms of pie

Answers

Answer:

201 square inches

Step-by-step explanation:

Area= πr^2=3.14x64=201 inches

Does the line passing through the points (-3, -6) and (1, 2) intersect the line passing through the points (-4, -1) and (-2, 3)?

Answers

Answer:

no, because when we draw then in grpah the two lines don't intersect.

Answer:

Nope they don't intersect or bisect each other

hope it helps you :)

(brainiest) I just need help with the last question please!
In training for a swim meet, Logan swam 750 meters in of an hour. His swimming partner, Mila, swam of Logan's distance in of an hour.
Fill in the blanks to compare Mila's and Logan’s swimming speeds.

1. What is Logan's average swimming speed?
answer:
2.25 kilometers per hour

2. What is Mila's average swimming speed?
answer:
34.44 m/min

HELP ME WITH THIS QUESTION:
3. Compare Mila's and Logan’s swimming speeds.

Answers

3. Other ways to compare Mila's and Logan's swimming speed is to find out the difference of the distance of how long they swam.

Use Mila's average swimming speed and find out how much metres she would swim if she swam for 20 minutes.

33.33 metres x 20 minutes = 666.6 metres

A cylinder has a radius of 3 cm. Sand is poured into the cylinder to form a layer 2 cm deep. What is the volume of sand in the cylinder?.

Answers

Answer:

Volume=56.54cm³

Step-by-step explanation:

[tex]Solution,\\\\Radius(r)=3cm\\\\Height(h)=2cm\\\\Now,\\\\Volume=\pi r^{2} h\\\\Volume=\pi *(3cm)^{2} *2cm\\\\Volume=18\pi cm^{3} =56.54cm^{3}[/tex]

I need answer now please its missing now asap :D you will be marked brainliest

Answers

Answer:

Step-by-step explanation:

The key is what makes 9?

The left side should be 3 * 3 / 4 * 3 or

3 * 3              9

-------     =    -------

4 * 3              12

Karissa paid $16 per hour , and she worked 38 hours each week.
1)How much does she receive each week?

2) if she was paid bi-weekly, how much would she receive every two weeks?

Answers

Answer:

The first one

she works 38 hours in a week and for each hour she gets $16 so 38×16= 608

she gets paid $608 each week

If you answer I will give your brainliest just plz help me ok so which answer choice is correct?

Answers

Answer:

it would be A and C

Step-by-step explanation:

I used photo math and it used C as its answer, but answer A simplifies to answer C therefore meaning they are both your answers! I hope this helped!

Heeelppp please is for today

Answers

Answer:

x = −2 or x = 4.23606797749979 or x = −0.2360679774997898

Step-by-step explanation:

Subtract x^3-2x^2-9x-2 from both sides.

0 − (x3−2x2−9x−2) = x3−2x2−9x−2 − (x3−2x2−9x−2)

−x3+2x2+9x+2=0

Factor left side of equation.

(−x−2)(x2−4x−1)=0

Set factors equal to 0.

−x−2=0 or x2−4x−1=0

This picture shows how to think and answer.

What is the distance between (2,-9) and (-1,4)

Answers

Answer:

34 because

Step-by-step explanation:

Mark brainliest

The inner and outer walls of a 30 cm long pipe have a diameter of 15 cm and 17 cm, respectively. Find the volume of the material used in the pipe (use π = 3.14). ​

Answers

Answer:

The volume of material used in the pipe is 1507.2 cm³.

Step-by-step explanation:

As per the provided information in the question, we have :

➛ Height of wall = 30 cm➛ Diameter of inner wall = 15 cm➛ Diameter of outer wall = 17 cm➛ Radius of inner wall = 15/2 = 7.5 cm➛ Radius of outer wall = 17/2 = 8.5 cm

Here's the required formula to find the volume of material used in the pipe :

[tex]\quad{\longrightarrow{\pmb{\sf{ V = \pi h\Big(Outer}^{2} - {Inner}^{2}\Big)}}}[/tex]

↝ V = Volume ↝ π = 3.14 ↝ h = height ↝ Outer = Outer radius ↝ Inner = Inner radius

Substituting all the given values in the formula to find the volume of material used in the pipe :

[tex]\quad{\twoheadrightarrow{\sf{ V =\pi h\Big({Outer}^{2} - {Inner}^{2}\Big)}}}[/tex]

[tex]\quad{\twoheadrightarrow{\sf{ V =3.14 \times 30\Big({(8.5)}^{2} - {(7.5)}^{2}\Big)}}}[/tex]

[tex]\quad{\twoheadrightarrow{\sf{ V =94.2\Big((8.5 \times 8.5) - (7.5 \times 7.5)\Big)}}}[/tex]

[tex]\quad{\twoheadrightarrow{\sf{ V =94.2\Big((72.25) - (56.25)\Big)}}}[/tex]

[tex]\quad{\twoheadrightarrow{\sf{ V =94.2\Big(72.25 - 56.25\Big)}}}[/tex]

[tex]\quad{\twoheadrightarrow{\sf{ V =94.2\Big( \: 16 \: \Big)}}}[/tex]

[tex]\quad{\twoheadrightarrow{\sf{ V =94.2 \times 16}}}[/tex]

[tex]\quad{\twoheadrightarrow{\sf{ V =1507.2}}}[/tex]

[tex]\quad\star{\underline{\boxed{\sf{\red{ V =1507.2 \: {cm}^{3}}}}}}[/tex]

Hence, the volume of material used in the pipe is 1507.2 cm³.

[tex]\rule{300}{2.5}[/tex]

The volume of the material used is 1507.2cm^3

Data;

height = 30cminner diameter = 15cm; radius = 7.5cmouter diameter = 17cm; radius = 8.5cm π = 3.14

Volume of a Cylinder

The formula of volume of a cylinder is given as

[tex]v = \pi r^2 h[/tex]

But in this case, we have to find the difference between the outer radius and the inner radius.

[tex]v = \pi h(r_2^2 - r_1^2)\\[/tex]

Let's substitute the values and solve.

[tex]V = 3.14 * 30 * (8.5^2 - 7.5^2)\\v = 94.2 * (16\\v = 94.2 * 16\\v = 1507.2cm^3[/tex]

The volume of the material used is 1507.2cm^3

Learn more on volume of a cylinder here;

https://brainly.com/question/2965150

when a 6-foot tall fence post castes a 10 foot shadow, a pine tree castes a 45 foot shadow how tall is the tree

Answers

Answer:

27 FEET TALL

Step-by-step explanation:

If a 6 foot fence casts a 10 foot shadow then you need to find the ratio 6/10. (This is my method) Now you are trying to find the numerator for  X/45.. you need to find what number equals .6 you can use Symbolab as a calculator I typed 6/10 = X/45 and I got 27.

Answer: if the 6 foot fence post castes a 10 foot shadow          6-10=4  then 45-4=41

Step-by-step explanation: sorry if its wrong

Calculate the area shaded

Answers

Answer:

7.722 cm^2

Step-by-step explanation:

Step 1: Find the area of the square.

Area of square = s^2, where s = side6^2 = 36 cm^2

Step 2: Find the area of the circle.

We are given the diameter of the circle as 6 cm, so the radius must be 3 cm.Area of circle is [tex]\pi r^2[/tex], so now we plug in and simplify.[tex]3.142 * 3^2[/tex] [tex]3.142 * 9[/tex] [tex]28.278[/tex]

Step 3: Subtract area of circle from area of square.

[tex]36 - 28.278[/tex] [tex]7.722[/tex]

Therefore, the area of the shaded region is 7.722 cm^2.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Complete the statements based on the dotplots.

The highway MPG values vary _____
the city MPG values. Average highway MPG values tend to be ______
average city MPG.

Answers

Answer:

less than

higher than

Step-by-step explanation:

I got it correct on edg

Answer:

less than, higher than

Step-by-step explanation:

A secret number was unearthed in the Mayan ruins. When the number was increased by 5 and this sum
multiplied by -2, the result was 18 greater than 6 times the opposite of the number. What was the secret
number found in the ruins?

Answers

Answer:

The secret number is 7

Step-by-step explanation:

Let the number is x.

We got the following equation according to the given details:

(x + 5)(- 2) = (-x)*6 + 18

Solve for x:

- 2x - 10 = - 6x + 186x - 2x = 18 + 104x = 28x = 7

Solve the math problem

Answers

Answer:

Below!

Explanation:

Exponents are small numbers that defines how many times does the base needs to multiply itself. Two exponents can also be classified in words. 'Squared' defines a number multiplying itself two times. 'Cubed' defines a number multiplying itself three times. If there is a zero as the base's exponent, this means that the result will always be 1. Now, let's solve all the problems together.

2¹ = 23⁵ = 3 x 3 x 3 x 3 x 3 = 2434³ = 4 x 4 x 4 = 646⁴ = 6 x 6 x 6 x 6 = 12567⁴ = 7 x 7 x 7 x 7 = 24011⁶ = 1 x 1 x 1 x 1 x 1 x 1 = 18² = 8 x 8 = 642³ = 2 x 2 x 2 = 84⁴ = 4 x 4 x 4 x 4 = 25610³ = 10 x 10 x 10 = 100012² = 12 x 12 = 1445⁴ = 5 x 5 x 5 x 5 = 6256² = 6 x 6 = 363⁶ = 3 x 3 x 3 x 3 x 3 x 3 = 7297³ = 7 x 7 x 7 = 3432⁴ = 2 x 2 x 2 x 2 = 1611⁰ = 14³ = 4 x 4 x 4 = 641¹² = 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1

Hoped this helped!

The policyholder is really tight on cash and wants to trim down their insurance premiums so they can devote more of their budget to paying off a large credit card debt. Which coverage makes the most sense to eliminate?

A.) Liability coverage, because it is the most expensive part of their bill
B.) Collision coverage, because their car is quite old and the deductible is relatively high
C.) Uninsured motor vehicle coverage, because they already have car insurance, so they won’t ever be uninsured
D.) They cannot eliminate any of this coverage -- it is all required by Federal law

Answers

Answer:

Considering the available options, the coverage that makes the most sense to eliminate is the "Collision coverage, because their car is quite old and the deductible is relatively high."

What is Insurance Premium?

The insurance premium is the money by an individual or company to insure some specific properties. Insurance premium usually covers healthcare, auto, home, and life insurance.

However, one of the ways to reduce the mount paid on insurance premiums is to reduce coverage on older cars.

It is believed that if the car is worth less than 10 times the premium, paying for the coverage is not cost-effective.

Hence, in this case, it is concluded that the correct answer is option A. "Collision coverage because their car is quite old and the deductible is relatively high."

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