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

PLEASE HELP! CHOOSE ONE OF THE ANSWER CHOICES AND SHOW YOUR WORK. Don’t put a link as the answer.

Answers

Answer:B 4

Step-by-step explanation:

its asking which given expression is equivalent to 48 IF you do the correct math you should end up with 4 hope i helped

3
4× 20=
3 × 20
4 =


please help fast

Answers

Answer:

[tex]680, 612[/tex]

Step-by-step explanation:

[tex]34[/tex]×[tex]20=680[/tex]

[tex]3[/tex]×[tex]204=612[/tex]

Solve for x using
cross multiplication.
x =
3x
4
2x + 7
5
x = [?]

Answers

Answer:

1.8 + 0.75

Step-by-step explanation:

1.80

+0.75

= 2.55

I think. :)

What is the slope of the line that passes through the points (-5, -7)(−5,−7) and (4, -1) (4,−1)

Answers

Answer:

2/3

Step-by-step explanation:

REmember that the slope of a line is y/x. To find this, we must use the formula:

y2-y1/x2-x1=y/x

So this is -1 - -7/4- -5. The  -1 -- 7 is actually -1+7. This is 6, meaning y equals 6.

The x is 4 - - 5 is actually 4+5. This is 9, meaning x is equal to 9.

We can now write this as y/x. This would be 6/9.

Once we simplfy this, we get 2/3.

Answer:

2/3

5. Consider kite HIJK. If HK = 8 and HP = 5, find KP.
H
К.
Р

Answers

Answer:

Step-by-step explanation:

KP²+HP²=KH²

KP²+5²=8²

KP²=64-25=39

KP=√39

A circular mirror has a diameter of 12 inches. And a circular frame that is 3 inches wide surrounds the mirror. What is the combined area, in square inches, of the circular mirror and the frame? *

Answers

Answer:

254.5 in.^2

Step-by-step explanation:

diameter of mirror = 12 in.

radius of mirror = diameter/2 = 13 in. / 2 = 6 in.

frame width = 3 in.

radius if combined mirror and frame = 6 in. + 3 in. = 9 in.

A = (pi)(r^2)

A = 3.14159 * (9 in.)^2

A = 3.14159 * 81 in.^2

A = 254.5 in.^2

Status
Recovery
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
7D
110%
AK
B.
→C
Angles are not drawn to scale.
Enter

Answers

Answer:

jhbujnhjnv

Step-by-step explanation:

vnjhbjhbjmb

Answer:

x=70°

Step-by-step explanation:

x+110=180 linear pair

x=180-110=70

Can you Please help due in LESS THAN 1 MIN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

35, 5

Step-by-step explanation:

-47 + 35 = -12

35/7 minutes = 5

The blank Freshmen Team scored a total of 78 points in a game against the blank(2). Blank made a total of 31 two-point and three-point baskets. How many two-point baskets did the blank make? How many three-point baskets did blank make?

Answers

Answer:5.3

Step-by-step explanation: you multiply 31 by 2 then you subtract the product of 31×2 from 78 then you divide that by three

Halla el MCM de 42 y 70. ​

Answers

Answer:

mcm= 210

Step-by-step explanation:

We decompose into its prime factors

42- 70 | 2

21 - 35 | 3

7 - 35 | 5

7 - 7 | 7

1 - 1

mcm= 210

Greetings!

zoom in to see the numbers and rotate to see the green and yellow parts

Answers

The first one is less

A fair number cube and a spinner are used in a game. The faces of the number
cube are labeled 1 through 6. The spinner has an equal chance of landing on 1 of 5
colors: red, green, blue, yellow or black. What is the probability of a player rolling an
even number and then spinning green?

Answers

Answer:

1 /10

Step-by-step explanation:

Fair cube ; numbered (1 - 6)

Spinner ; (red, green, blue, yellow or black)

Even numbers = (2, 4, 6)

Probability of obtaining an even number on rollin g a fair cube :

Probability = required outcome / Total possible outcomes

P(even number) = 3 /6 = 1/2

P(green color on spinner) = 1 /5

P(even number and green color) = 1/2 * 1/5 = 1/10

x - 75 = 200

whats the answer make sure to do a explanation

Answers

Answer:

275

Step-by-step explanation:

x- 75 = 200

add 75 to both sides of equation

x = 275

find the volume of a rectangular prism with a base area of 13 ft.² and a height Of 7 feet

Answers

Answer: 91 ft

V = b x h

V = 13 x 7

V = 91

fill in the blank. principal: $300 Rate: 3% Time: 4 years Interest Earned: ? New Balance: ?​

Answers

Answer:

300x.03 all divided by 4

Step-by-step explanation:

help me...............

Answers

Answer:

1. Hundredths

2. Thousandths

3. Tenths

I agree with this person!
1.Hundreths
2.Thousandths
3.tenths

Find the equation of the circle with center at (3, -2) and radius of 3.

Answers

Formula to help you get the answer:

(x - h)² + (y - k)² = r²

hope this helps!

y = 4x + 8 when x = 3y

Answers

Answer:

-8/11

Step-by-step explanation:

what are you trying to isolate

what is the value of the digit 8 in the number 78000? please no links​

Answers

Answer:

The value of eight in the number 78000 is 8000.

Step-by-step explanation:

70,000+8,000=78,000

PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.

Answers

Answer:

OPS and TSP,

QPS and PSR

Step-by-step explanation:

The alternate interior angles look like the picture provided below. Next time, don't clickbait with the wrong amount of points.

QPS is included but isn't one of the answers because they it's not a multiple choice question.

Find the midpoint of the segment with endpoints of (1,-6) and (-3, 4) and
enter its coordinates as an ordered pair. If necessary, express coordinates as
fractions, using the slash mark ( / ) for the fraction bar.

Answers

Answer:

Mid point = (–1 , –1)

Step-by-step explanation:

From the question given above, the following data were obtained:

(1, –6)

(–3, 4)

x₁ = 1

x₂ = –3

y₁ = –6

y₂ = 4

Mid point = (X, Y)

X = (x₁ + x₂)/2

X = (1 + –3)/2

X = (1 – 3)/2

X = –2/2

X = –1

Y = (y₁ + y₂)/2

Y = (–6 + 4)/2

Y = –2/2

Y = –1

Mid point = (X, Y)

Mid point = (–1 , –1)

Who has walked closer to 1 mile than to 0 miles?

Answers

Answer: Mr. Nunez

Hope this helps :)

URGENT PLEASE HELP !!!

Answers

It’s 36 all you need to do is add both

Answer:

36

Step-by-step explanation:

AB=AC+BE

AB=10+26

AB=36

Finish the problem yourself :) What is the length of the c? 225 = c^2

Answers

Answer:

c= 15

Step-by-step explanation:

c^2 = 225

(square root both sides)

c= square root of 225

c= 15

A line has a slope of -5 and includes the points (-1,r) and (-2,-2). What is the value of r?

Answers

Answer:

-7

Step-by-step explanation:

14.2 as a mixed number.
I need help on how to understand this, not just the answer. Please and thank you!

Answers

i think its 14 1/5 (?)

Answer:

14 1/5

Step-by-step explanation:

okay so first we will convert the decimal to fraction

14.2= 142/10= 71/5

now we convert improper fraction to mixed fraction:

71/5= long division method

14

5 |71

-5

21

20

1

quotient=14 remainder=1

now the remainder is gonna be as the numerator, the number which we divide the other number (5) would be denominator and the quotient is gonna be on the side

so...... 14 1/5

How would you describe the tick marks on the number line between the tenths?

Answers

Answer:

millimeters....

what would been the volume?

Answers

Answer:

960 cm²

Step-by-step explanation:

Volume = height x length x width

Volume = 16 x 12 x 10

Volume = 1920 cm²

Since this prism is half

Volume = 1/2 ( 1920)

Volume = 960 cm²

In 1906, Colombia experienced an intense earthquake with a magnitude of 8.8 on the Richter scale. In 1995, Egypt experienced an earthquake that measured 7.3 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.

Answers

Answer:

The intensity of the 1906 earthquake was about 32 times the intensity of the 1995 earthquake.

Step-by-step explanation:

The earthquake with a magnitude of 8.8 is 178 times stronger than the earthquake that measured 7.3.

What is logarithm?

A logarithm is the power to which a number must be raised in order to get some other number.

Given that, there are two earthquakes of magnitude 8.8 and 7.3

The energy released is given by:

[tex]log_{10} E = 4.4+1.5M[/tex]

For 8.8

E1 = 3.981071705534X10^17

For 7.3

E2 = 2.238721138568X10^15

E1/E2 = 3.981071705534X10^17/2.238721138568X10^15 ≈ 178

Hence, The earthquake with a magnitude of 8.8 is 178 times stronger than the earthquake that measured 7.3.

For more references on logarithm, click;

https://brainly.com/question/28346542

#SPJ2

PLEASE HELP! I WILL GIVE YOU BRAINLIEST

Answers

Answer:

A(-3,-4)

B(-1,-2)

C(-4,-1)

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