Simplify. (Assume all variables represent positive real numbers). Leave answer in radical form.


[tex]\sqrt128a^{6}b^{13}[/tex]

Answers

Answer 1

Answer:

[tex]\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{128a^{6}b^{13}}[/tex]

Required

Solve

[tex]\sqrt{128a^{6}b^{13}}[/tex]

The expression can be split to:

[tex]\sqrt{128a^{6}b^{13}} = \sqrt{128} * \sqrt{a^{6}} * \sqrt{b^{13}}[/tex]

[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64 * 2} * \sqrt{a^{6}} * \sqrt{b^{13}}[/tex]

[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{13}}[/tex]

[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12 + 1}}[/tex]

[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12}} * \sqrt{b}[/tex]

So, we have:

[tex]\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{6/2} * b^{12/2} * \sqrt{b}[/tex]

[tex]\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{3} * b^{6} * \sqrt{b}[/tex]

Rewrite as:

[tex]\sqrt{128a^{6}b^{13}} = 8 * a^{3} * b^{6}* \sqrt{2} * \sqrt{b}[/tex]

[tex]\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6}* \sqrt{2b}[/tex]

[tex]\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}[/tex]


Related Questions


Dr. Seals borrows $15,000 to remodel her backyard. The interest rate is 3%. The interest is compounded twice a year for two years.

Answers

Answer:

what is the question?

Step-by-step explanation:

Hey please help with this one I promise I’ll mark you brainliest real anwsers tho :3

Answers

Answer:

Area is 364

Step-by-step explanation:

A parallelogram's area is equal to base times height. So it doesn't depend on the angle at all, as long as the base and height are constant.

That means that the area of the parallelogram on the left is the same as if it was a rectangle (an extension of the rectangle part on the right).

This brings us to the answer - the area is the same as the area of a 14x26 rectangle.

14*26=364

Alternatively, let's compute the area of the rectangle on the right:

18*14 = 252

And the area of the parallelogram

14 * (26-18) = 14*8 = 112

And the area of the composite figure is 252+112 = 364

Help please lost on this question

Answers

Answer:

First one is 6

Second one is 4

Step-by-step explanation:

Right on egg

Plz hurry 100 points

Answers

Answer:

Step-by-step explanation:

1575 ÷ 14 = 112 remainder 7

Answer:

The manager can fill 112 bags with 7 rocks leftover

Step-by-step explanation:

The equation is 1575/14 or 1575 divided by 14. This is equal to 112 remainder 7. Therefore, the answer  the manager can fill 112 bags with 7 rocks leftover.

which event is unlikely, but not impossible?
A. spinning a spinner split into a 16 equal sections labeled 1-16 and landing on a 3

Answers

Is there supposed to be more answer choices ?
I only see A

helpp i beg u its due in one hour!!! plz ​

Answers

Answer:

113.1 cm²

Step-by-step explanation:

we are given the diameter of the circle (length is 12 cm), and the formula for the area of the circle, which is πr², where r is the radius

so first, we need to find the radius

the length of the radius is half the length of the diameter

so that means that r=d/2

r=d/2

r=12/2

r=6

therefore the length of the radius is 6

now square 6, which is the same as multiplying it by itself

6²=36

now, multiply the radius squared by π, which is often substituted for as 3.14 or 22/7  

so if we were to do 22/7 for instance,

36*22/7≈113.14

round that to 113.1

there's your answer :)

Hope this helps!

Which of the following is the equation represented from the graph?

1. y = -2x + 3

2. y = 3x

3. y = -2x

4. y = 3x + 2

pls hellp​

Answers

Answer:

1. y = -2x + 3

Step-by-step explanation:

Your friend Shawn tells you that he had been practicing flipping coins so that they will land on heads more frequently than tails. He claims that he can now flip a coin and the probability it will land on heads is 9/10.

PART A
Do you believe him?


A
yes
B
no

Answers

Answer:

Yes because I believe my friend

Step-by-step explanation:

B no because there will always be a 50/50 or 1/2 chance of the coin landing on heads. This will only be the probability if he flips the coin correctly

If f(x) = 3x + 2 and g(x) = -x^2 + 1, which is f(g(x))?

Answers

Answer:

-3x^2+5

Step-by-step explanation:

f(g(x)) = 3(g(x))+2 = 3(-x^2)+3+2 = -3x^2 +5

A normal six sided die is thrown once the number of outcomes in the sample is

Answers

Answer:

1/6

Step-by-step explanation:

Since it's a six sided die there's 6 different sides the die could land on the probability of landing on certain number depends on how much you roll the die.

For example: you roll the die 10 times and you land on 3, 5 times. the probability landing on 3 was 5/10 or 50%

Find the surface area of the prism

Answers

Answer:

192 km²

Step-by-step explanation:

Surface Area of the triangular prism = 2(Base Area) + Perimeter of Base*height of the prism

✔️Base Area = ½*bh

b = 6 km

h = 8 km

Base area = ½*6*8 = 24 km²

✔️Perimeter of base = 6 + 8 + 10 = 24 km

✔️Height of prism = 6 km

Plug in the values into the equation:

Surface area = 2(24) + 24*6 = 48 + 144

Surface area = 192 km²

12 + 22 u = PLS HELP

Answers

Answer:

34

Step-by-step explanation:

The weight of an object on the moon, m, is about of the object's weight on Earth, e
Which equation represents the approximate weight of an object on the moon in terms
of the object's weight on Earth?
A m =
Bm
8
Gm6e
Dm66
Students crew anywhere on this side

Answers

Answer:

wdDW

Step-by-step explanation:

WDDwdWD

Find the measure of <5.
45 = [?]
699
45
Enter

Answers

Answer:

Step-by-step explanation:

Answer:

Solution given:

<5+69°=180°[co- interior angle]

<5=180°-69°=111°

<5=111°

7a+5a^2+6a^0-3a^2-4a

Answers

3a +2a^2+6
Notes that a^0=1

Please help, test due in 2 hours! Will give good review and brainliest. :)

Answers

Please mark me brainliest!!!!

It would be 86.283616915 but rounded, would be 86.

Hope this helps!

****For density you would divide mass by volume

PLEASE hURRY The population, P, of six towns with time t in years are given by the following exponential equations: (i) P = 1000 (1.08) Superscript t (ii) P = 600 (1.12) Superscript t (iii) P = 2500 (0.9) Superscript t (iv) P = 1200 (1.185) Superscript t (v) P = 800 (0.78) Superscript t (vi) 2000 (0.99) Superscript t Which towns are growing in size? a. i, ii, and iv c. i, ii, and iii b. iii, v, and vi d. vi, i, and ii

Answers

Answer:

Its A

Step-by-step explanation:

I got it right on Edge Test

The function that depicts town that is growing in size are  P = 1000 (1.08)^t and 1200 (1.185)^t

Expoenential functions

The standard exponential function is expressed as:

y = ab^x

The value of b will determine whether the towns are growing in size or not, For instance;

If b > 1 then the town is growing, else it is declining

From the given exponential functions, the function that depicts town that are growing in size are  P = 1000 (1.08)^t and 1200 (1.185)^t

Learn more on exponential function here; https://brainly.com/question/12940982

1. Find the area
13 ft
3 ft

Answers

Answer: you just need to do A=bh

Step-by-step explanation:

So you need to multiply the base by the height

Find the function rules.

Answers

2.01) y= x times 3 plus one
2.02) y= x plus 7

Hope this helps!

Answer:

2.01) Multiply x by 3 and add 1 (x*3+1)

2.02) Add 7 to x (x+7)

Step-by-step explanation:

2.01:

2*3+1=7

4*3+1=13

6*3+1=19

8*3+1=25

2.02:

-2+7=5

0+7=7

2+7=9

Cole threw 50 darts. Here are his results Orange 29, Green 15, Blue 5, and Red 1 Calculate the experimental probability for each color. PLEASEEEE HURRYYY​

Answers

Answer:

Orange 29/50, or 58%

Green 3/10, or 30%

Blue 1/10, or 10%

Red 1/50, or 2%

QUICK BRAINLIEST

Find the x-intercept of y = -x - 20

Answers

Answer:

(-20, 0)

Step-by-step explanation:

to find x intercept we have to substitute 0 into y and solve for x

0 = -x - 20

rewriting the equation

-x - 20= 0

-x = 20

Find the area of this triangle.
Round to the nearest tenth.
12 cm
33°
5.5 cm
[?] cm2

Answers

Answer:

1/2 ab sinC =1/2(5.5×12)sin33 = 17.97

Step-by-step explanation:

Put the numbers in the equation ,a calculator will be better.

The area of the triangle is 18.0cm².

What is the sine rule for the area of the triangle?

The sine rule for the area of the triangle is defined as the area of the triangle that can be calculated by the product of the half of the two sides of the triangle and the sine of the angle between the two sides.

Area= Δ= (1/2)*a*b*sinC

where a and b are the length of the side BC and AC respectively. And angle C is the angle between the sides BC and AC.

Here given in the figure the triangle has two sides of lengths 12cm, and 5.5cm.

The angle between the sides is 33°.

Then using the sine rule for the area of the triangle

The area of the triangle= (1/2)*a*b*sinC

=(1/2)*12*5.5*sin 33°

=17.97≅ 18.0 cm²

Therefore the area of the triangle is 18.0cm².

Learn more about the sine rule

here: https://brainly.com/question/27174058

#SPJ2

what does a value of 8 in 589310 compare yo the value of the 8 ine 598301​

Answers

Answer:

10

Step-by-step explanation:

It is 10 times as much

Please help me I'm so bad at math and doing AFDA really doesn't help.. Its quadratic equations matching solution sets.

Answers

Answer:

[tex](a)\ x + 4 = \±\sqrt9[/tex] ---- [tex]x =\{-7,- 1\}[/tex]

[tex](b)\ x - 4 = \±\sqrt9[/tex] ---- [tex]x = \{1,7\}[/tex]

[tex](c)\ x + 3 = \±\sqrt{16}[/tex] ----- [tex]x = \{-7,1\}[/tex]

[tex](d)\ x - 3 = \±\sqrt{16}[/tex] ---- [tex]x = \{-1,7\}[/tex]

Step-by-step explanation:

Given

The attached equations

Required

Match each with the solution

[tex](a)\ x + 4 = \±\sqrt9[/tex]

Take the square root of 9

[tex]x + 4 = \±3[/tex]

Solve for x

[tex]x =- 4 \±3[/tex]

Split

[tex]x =\{- 4 -3,- 4 +3\}[/tex]

[tex]x =\{-7,- 1\}[/tex]

[tex](b)\ x - 4 = \±\sqrt9[/tex]

Take the square root of 9

[tex]x - 4 = \±3[/tex]

Solve for x

[tex]x = 4 \±3[/tex]

Split

[tex]x = \{4 -3,4+3\}[/tex]

[tex]x = \{1,7\}[/tex]

[tex](c)\ x + 3 = \±\sqrt{16}[/tex]

Take the square root of 16

[tex]x + 3 = \±4[/tex]

Solve for x

[tex]x =- 3 \±4[/tex]

Split

[tex]x = \{-3-4,-3+4\}[/tex]

[tex]x = \{-7,1\}[/tex]

[tex](d)\ x - 3 = \±\sqrt{16}[/tex]

Take the square root of 16

[tex]x - 3 = \±4[/tex]

Solve for x

[tex]x =3 \±4[/tex]

Split

[tex]x = \{3-4,3+4\}[/tex]

[tex]x = \{-1,7\}[/tex]

you pick random 6,7,8,9 what is P(9)

Answers

Step-by-step explanation:

There are a total of 4 numbers to pick.

P(9) means is the probability of you picking the number 9.

Since you are only picking one number, the probability will be 1/4 or 0.25

la expecion del volumen​

Answers

Answer:

no hay imagen lo siento

Step-by-step explanation:

In a rectangular prism, given a base area of 64 cm2 and a
height of 7.2 cm, what would be the volume of the
figure?

Answers

Answer:

46.8 cm^3

Step-by-step explanation:

0=12X²-64X+20 quie me puede hacer el favor de realizarmelo​

Answers

Answer:

x = 1/3 , 5

Step-by-step explanation:

Factoriza y establece cada factor igual a cero.

Rafael's salary last year was $49,500 and he took home
$38,610. What was his federal income tax withholding
rate?

Answers

can you give more information ?

teacher was comparing two sets of quis scores shown below.
Quiz Scores
Quiz 1
70
Quiz 2
75
82
91
85
87
%一一一一
74
77
What reasonable conclusion can be drawn from the data?
The mean of Quiz 1 scores is greater than the mean of Quiz 2 scores, but the variability is the same.
The mean of Quiz 2 scores is greater than the mean of Quiz 1 scores, but the variability is the same
The variability of Quiz 1 scores is greater than the variability of Quiz 2 scores, but the mean is the same.
The variability of Quiz 2 scores is greater than the variability of Quiz 1 scores, but the mean is the same.
Jjjj

Answers

Don’t listen to those people that put those things down to say open the file it’s a scam
Other Questions
can someone help me with this?????? Jazzmine took out a loan of $17,500 to buy a new car. She received a 3.5% interest rate compounded annually and paid $3,274.50 in interest. How long did it take Jazzmine to pay off the loan? HELP ON BOTH HAVE 2 MINUTE'S LEFT. NO LINKS. I JUST NEED SIMPLE ANSWERS ( NO LINKS BESTYS- ) Describe the benefits of:Robert Fultons Steamboat- ANDSteam Powered locomotive- question on picture: What is one of the Four Modernizations? Landmark Supreme Court Cases - Name the Case: In this case a teenager was denied his due process" rights to a lawyer, to call witnesses, and to confront his accuser. The court said that even juveniles deserve due process rights. Read the sentence below and answer the question that follows.Hutu supremacy over Tutsi people contributed to the ethnic conflict between the two groups.The word underlined in the sentence above can best be defined as __________.A.the state of being the most powerfulB.the intentional and organized killing of a group of people based on their ethnicity, race, religion, nationality, or other traitC.the extension of power of one nation over another, often by territorial acquisitionD.patriotism or devotion to one's countryPlease select the best answer from the choices providedABCD PLS ANSWER ASAP NEED HELP!!!!!! Which sentence has an inappropriate shift in number?Every boy decided to enter his own competition.Each girl wanted to have her own phone.Many of us hope that our futures will be kind to us.Some of the students brought his or her own lunch. HELPPPPP its geometry and i have no clue how to do it Find the product of 7 7/10 and 10/11 ? If is in Quadrant II and sin = 3/2 what is the cos ?A. -3/2B. -1/2C. 1/4D. 1/2E. 3/2 How many grams of carbon are found in3.50 atoms of carbon? How are reflexive verbs used the same or differently in German and English? Can governments punish people for hate speech? What types of speech have strong protection? What types of speech have less or no protection? Which measurement is most accurate to describe the weight of an adult?1.5 tons50 lb.160 oz.180 lb. xample 2Find the median, lower quartile, and upper quartile of the numbers.2 4 32 9 12 22 18 20 16 24 28 111 - Arrange the numbers in order from least to greatest.249 11 12 16 18 20 22 24 28 3216 182-median (second quartile) =2.34= 172.2 4 9 11 12 16 18 20 22 24 28 32second our Plz help nerd's 3. What does the difference in force depend on? 1 kg block slides down a frictionless inclined plane that makes an angle of 300 with respect to the ground. The total length of the plane is 2 m, but midway down it collides with a second block, weighing 0.5 kg. The two blocks stick together and travel as one unit the rest of the way down the ramp. What is the kinetic energy of the combined 1.5 kg block when it reaches the bottom of the plane