Simplify the radical expression.

Simplify The Radical Expression.

Answers

Answer 1

Answer:

[tex]xy^3 \sqrt[4]{y^3}[/tex]

Step-by-step explanation:

Recall the exponent property [tex]a^b+a^c=a^{(b+c)}[/tex].

We can use this property to break the problem down:

[tex]\sqrt[4]{x^4y^{15}}=\sqrt[4]{x\cdot x\cdot x\cdot x\cdot y^3\cdot y^3\cdot y^3\cdot y^3\cdot y^3}=\boxed{xy^3 \sqrt[4]{y^3}}[/tex]

Answer 2

Answer:

[tex]xy^3\sqrt[4]{y^3}[/tex]

Step-by-step explanation:

[tex]\sqrt[4]{x^4y^{15}} =\sqrt[4]{x^4}*\sqrt[4]{y^{15}}\\\\=x\sqrt[4]{y^{15}}\\\\=x(\sqrt[4]{y^{12}} *\sqrt[4]{y^3})\\\\=xy^3\sqrt[4]{y^3}\\\\\\\sqrt[4]{y^{12}} =y^{12/4}=y^3 \\\\\sqrt[4]{x^4} =x^{4/4}=x[/tex]


Related Questions

One ounce is approximately 28.3 grams. Write a direct variation equation that relates x ounces to y grams.

An equation is=​

Answers

Answer:

15 oz

Step-by-step explanation:

Which of the following expressions is correctly written in scientific notation?

Answers

Answer:

The 3rd choice.

Step-by-step explanation:

The third choice has what it takes to be a scientific notation.

what is 1,100,000,000 km/h in scientific notation?

Answers

Answer:

1100000000

Step-by-step explanation:

I need the first one ASAP!

Answers

79.023 or 79 cubic inches

What are the domain and range of the function below?

Answers

Answer:

domain = 0 < x < infinity / range = y < 4

Step-by-step explanation:

The admission fee to an amusement park is $27.It cost an additional p dollars to rent a locker to hold your belongings. The total cost for 2 people to enter the amusment park and each rent a locker is 64 how much does it cost for one person

Answers

Answer:

32

Step-by-step explanation:

Express the following division in the form of a + bi: (1+3i)(2+i)

Answers

Answer:

[tex](1 + i\,3) \cdot (2 + i) = -1 + i\,7[/tex]

Step-by-step explanation:

We proceed to present the procedure by algebraic means:

1) [tex](1 + i\,3)\cdot (2 + i)[/tex] Given

2) [tex]2\cdot (1 + i\,3) + i\,(1+i\,3)[/tex] Distributive and Commutative Properties

3) [tex]2 + i\,6 + i + i^{2} \,3[/tex] Distributive, Commutative and Associative Properties

4) [tex]2 + i\,7 -3[/tex] Definition of imaginary number/Distributive, Commutative and Associative Properties

5) [tex]-1 + i\,7[/tex] Commutative and Associative Properties

You have a 3L jug and a 5L jug. You need to fill the 5L jug with exactly 4L of water. Write an algorithm to solve this problem. I will award Brainliest!​

Answers

Fill the 3L jug, then pour its contents into the 5L jug.

Fill the 3L jug again, then pour as much of it (2L) as you can into the 5L jug.

Now the 5L jug is full, and the 3L jug is carrying 1L of water.

Empty the 5L jug.

Pour the 1L of water from the 3L jug to the 5L jug.

Finally, fill up the 3L jug, then transfer its water into the 5L jug. It now has 4L of water.

-16t^2 + 1237t - 33 pls help im short on time and need the answer

Answers

Answer:

1237t - 289

Step-by-step explanation:

PLS HELP ME ANSWER AT LEAST ONE OF THESE QUESTIONS ASAP

What restrictions may be necessary to the domain and range of linear equations?

How can you write the linear function given 2 points?

What restrictions may be necessary to the domain and range of linear equations?

Answers

Answer:

1. If x is under a square root then x cannot equal a negative number. If x is in the denominator of a fraction then x cannot equal zero.

2. ax2 + bx + c

Step-by-step explanation: Hope this helps :)

can someone help me with this?​

Answers

The answer is B
No other point intersects with the line

If you are given two complementary angles with one angle measured at x + 10 degrees and the other angle measured at x - 30 degrees, what is the value of x?

Answers

I believe the answer is X+10

PLSSS HELPPPP PLS need this to pass !!

Answers

the answer is the third one,
disks

HELPPPPPP!! ASAPPP!!! PLEASE!! WILL GIVE EXTRA POINTS!

4.8
4
8
7.2

Answers

Answer:

x = 4

Step-by-step explanation:

180° - 114° = 66°

15x - 6 = 66

15(4) - 6 = 66

60 - 6 = 54      

Statement is wrong because we can see another angle. so...

Final answers: x = 4   while 54 + 114° = 168°  then 180° - 168° = 12°

Answer:

x = 8

Step-by-step explanation:

15x - 6 = 114

Move the constant to the right-hand side and change its sign

15x = 114 + 6

15x = 120

Divide both sides of the equation by 15

x = 8

A swimming pool has a diameter of 24 feet. What is the minimum amount of fabric needed to cover the pool if the cover must hang off by 1 foot all around the pool?

Answers

Answer:

531.167 ft²

Step-by-step explanation:

Given data

Dimension of pool

Diameter =24ft

Radius =12ft

If the cover must hang by 1ft around, then the diameter is 26ft

Radius =13ft

Area of cover = πr²

Substitute

Area = 3.142*13²

Area =3.143*169

Area =531.167 ft²

Hence the minimum area is 531.167 ft²

Consider the functions f(x) = 2x + 10
Which statement is true?

Answers

Answer:

B

Step-by-step explanation:

It is linear and increasing.

If it is linear, it is increasing at a constant rate with a straight line.

Exponential means it is a curved line and would have an equation like f(x)=5^x

If it was decreasing, it would have a negative slope, such as -2x +10

B
It is liner and increases


Plzzzz answer fast it’s for test find the unknown Angle measure

Answers

Answer:

x =180-(90+46)

=180-136

=44

Answer:

44°

Step-by-step explanation:

180-90-46=44

Write the equation of the line that passes through the points (2,-6)and (8,−2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

please help meeee

Answers

Answer:

Step-by-step explanation:

There are ____ legs for every 4 ears

Answers

There are 4 legs for every 4 ears.

Answer:

there are 8 for any four leg creatures : there are 4 for a human

Step-by-step explanation:

ILL GIVE BRAINLY PLEASE HELP

Answers

Answer:

hygiygtuvtyryfyrvvryfyvyvrvfyrvyvrvrvr.

Put the quadratic into vertex form and state the coordinates of the vertex. y= y= \,\,x^2-6x-3 x 2 −6x−3

Answers

Answer:

[tex]y = (x - 3)^2 - 12[/tex]

[tex](3,-12)[/tex]

Step-by-step explanation:

Given

[tex]y = x^2 - 6x - 3[/tex]

Solving (a): In vertex form

The vertex form of an equation is:

[tex]y = a(x - h)^2 + k[/tex]

To do this, we make use of completing the square method.

We have:

[tex]y = x^2 - 6x - 3[/tex]

------------------------------------------------------------------

Take the coefficient of x (i.e. -6)

Divide by 2; -6/2 = -3

Square it: (-3)^2 = 9

Add and subtract the result to the equation

------------------------------------------------------------------

[tex]y = x^2 - 6x - 3[/tex]

[tex]y = x^2 - 6x + 9 - 9 - 3[/tex]

[tex]y = x^2 - 6x + 9 - 12[/tex]

Factorize [tex]x^2 - 6x + 9[/tex]

[tex]y = x^2 - 3x-3x + 9 - 12[/tex]

[tex]y = x(x - 3)-3(x - 3) - 12[/tex]

Factor out x - 3

[tex]y = (x - 3)(x - 3) - 12[/tex]

Express as squares

[tex]y = (x - 3)^2 - 12[/tex]

Hence, the vertex form of [tex]y = x^2 - 6x - 3[/tex] is: [tex]y = (x - 3)^2 - 12[/tex]

Solving (b): State the coordinates of the vertex.

In [tex]y = a(x - h)^2 + k[/tex]; the vertex is: (h,k)

The vertex of [tex]y = (x - 3)^2 - 12[/tex] will be [tex](3,-12)[/tex]

how do i solve this

Answers

Replace g for -2 and h for 5.

(2(-2) + 9(5) -5) - (6(-2) - 4(5) +2)

Taking this one at a time,
2(-2) = -4, and 9(5) = 45.
6(-2) = -12 and -4(5) = -20

(-4 + 45 - 5) - (- 12 - 20 +2)

Let’s distribute the negative symbol to the right side.

(-4 + 45 - 5) + (12 + 20 - 2)

Then, we solve!
(-4 + 40) + (12 + 18)

(36) + (30)

= 66!

Answer:

64

Step-by-step explanation:

Okay, here it goes:

Where there is a g you insert -2 and where there is an h you insert 5

(2(-2)+9(5)-5)-(6(-2)-4(5)+2)

If two numbers are side-by-side with no other sign between them, you multiply

(-4+45-5)-(6(-2)-4(5)+2)

(-4+45-5)-(-12-20+4)

There is a subtraction sign between these equations. That means you must distribute the negative sign to the equation on the right.

Remember:

Negative × Negative = PositiveNegative × Positive = NegativePositive × Positive = Positive

-4+45-5+12+20-4

Now just add them together. I recommend going left to right.

-4+45=41

41-5=36

36+12=48

48+20=68

68-4=64

¿ Cuál es la ecuación de la circunferencia que pasa por punto (-4,2) y
su diámetro es 8 ?

Porfaaaa

Answers

Answer:

(x+4)² + (y-k) ² = 16

Step-by-step explanation:

The equation of the circumference is expressed as;  

(x-h) ² + (y-k) ² = r²

(h,k) is the centre

r is the radius

Given that diameter = 8

radius = 8/2

radius = 4units

Given that h = -4 and k = 2

(x-h) ² + (y-k) ² = r²

(x-(-4)) ² + (y-2) ² = 4²

(x+4)² + (y-k) ² = 16

This gives the required equation

Side AC corresponds to side
.

Angle BAC corresponds to angle

Answers

Answer:

???

Step-by-step explanation:

Where's the image?

How do I find the answer?

Answers

Answer:

ans is nothing

plz its is a jock

In the triangle below, find the value of a/// Please help!

Answers

Answer:

a= 45

Step-by-step explanation:

all angles equal 180 degrees so you take the angle given which is 45 and the other which is a right angle, or 90 degrees and subtract 45 from 90 and you get 45 so a = 45 and you add up 45 + 45 + 90 thats 180!  

The GCF of 28 and 42 is _______.
A:2
B:4
C:7
D:14

Answers

the answer is D = 14

Answer:

the correct answer is 14

Please help 50 point !!

Answers

Answer:

The last one

Step-by-step explanation:

[tex]x^3+1=0[/tex]

Subtract 1 from both sides

[tex]x^3+1-1=0-1[/tex]

simplify

[tex]x^3=-1[/tex]

[tex]\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}[/tex]

[tex]x=\sqrt[3]{-1},\:x=\sqrt[3]{-1}\frac{-1+\sqrt{3}i}{2},\:x=\sqrt[3]{-1}\frac{-1-\sqrt{3}i}{2}[/tex]

simplify

[tex]x=-1,\:x=\frac{1}{2}-i\frac{\sqrt{3}}{2},\:x=\frac{1}{2}+i\frac{\sqrt{3}}{2}[/tex]

(That's basically the last one but in a different way of writing it)

Answer:

The last one

Step-by-step explanation:

Subtract 1 from both sides

simplify

simplify

12- 1/5r = 2r + 1

R=??

Answers

Answer:

r = 5

Step-by-step explanation:

12 - 1/5r = 2r + 1

12 - 0.2r = 2r + 1

12 - 0.2r + 0.2r = 2r + 0.2r + 1

12 = 2.2r + 1

12 - 1 = 2.2r + 1 - 1

2.2r = 11

2.2r ÷ 2.2 = 11 ÷ 2.2

r = 5

Answer:

r = 5

Step-by-step explanation:

12- 1/5r = 2r + 1

12 = 11/5r + 1

5(11) = (11/5r)5

55 = 11r

r = 5

find the distance,(-1,2)(4,1)

Answers

Finding the area between two points

Answer:
√26
Decimal Form:
5.09901951

Answer:

2√2 I think

Step-by-step explanation:

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