1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vikentia [17]
3 years ago
5

Simplify. Assume that all variables represent positive real numbers. sqrt[45][x]^[7][y]^[8]

Mathematics
2 answers:
Lisa [10]3 years ago
4 0

Answer:

3 x^3 y^4 sqrt(5x)

Step-by-step explanation:

sqrt(45x^7y^8)

We know that sqrt(ab) = sqrt(a)sqrt(b)

sqrt(45)sqrt(x^7) sqrt(y^8)

sqrt(9*5) sqrt(x^2 *x^2 * x^2* x) sqrt(y^2 *y^2 *y^2 *y^2)

We know that sqrt(ab) = sqrt(a)sqrt(b)

sqrt(9)sqrt(5) sqrt(x^2)sqrt(x^2) sqrt(x^2) sqrt(x) sqrt(y^2)sqrt(y^2)sqrt(y^2)sqrt(y^2)

3 sqrt(5) x*x*x sqrt(x) y*y*y*y

3 x^3 y^4 sqrt(5)sqrt(x)

3 x^3 y^4 sqrt(5x)

AVprozaik [17]3 years ago
3 0

Answer:

3 x^3 * y^4*√(5x)

Step-by-step explanation:

Factor

45: <u>3 * 3</u> * 5

y^8 = <u>y * y</u> * <u>y * y</u> *<u>y * y</u> * <u>y * y</u>

x^7 = <u>x *x</u> *<u>x *x </u>*<u>x *x</u> *x

Now underline every pair.

Rule: for every pair, take 1 outside the square root sign and throw the other one away. If any of the bases are left over, leave them under the square root sign.

3 * y * y * y * y * x * x * x *  √ (5 * y)

Answer: 3 x^3 * y^4*√(5x)

You might be interested in
Five consecutive two-digit positive integers, each less than 30, are not prime. What is the largest of these five integers?
Grace [21]

five numbers: 24, 25, 26, 27, 28

the largest is 28

3 0
3 years ago
Read 2 more answers
How can 5/16be written as a decimal
juin [17]

Answer:

5/16 as a decimal is 0.3125.

5 0
2 years ago
Read 2 more answers
For the differential equation dy/dt=ky, k is a constant, y(0)=24, and y(1)=18. What is the value of k?
Gre4nikov [31]

The equation is separable, so solving it is trivial:

\dfrac{\mathrm dy}{\mathrm dt}=ky\implies\dfrac{\mathrm dy}y=k\,\mathrm dt

Integrating both sides gives

\ln|y|=kt+C\implies y=e^{kt+C}=Ce^{kt}

Given y(0)=24 and y(1)=18, we find

24=C

18=Ce^k=24e^k\implies e^k=\dfrac34\implies k=ln\dfrac34

so the answer is E.

8 0
3 years ago
Read 2 more answers
a textbook company ships its books in boxes that can hold 30 pounds. one particular order calls for a shipment of 800 books. if
Pachacha [2.7K]

83 boxes are required to carry 800 books.

According to the question:

One Box can hold weight = 30 pounds

We know that ,  1 pound= 0.45 kg

hence, 30 pounds = 30 x 0.45 = 13.5kg  

hence,  one box can carry 13.5 kg of weight.

Now,

Weight of 1 book = 1.4 kg

So, Total Weight of 800 books= 1.4 x 800 kg

And , No. of boxes required to carry 800 books = (1.4 x 800)/13.5 = 82.96

                                                                             or approximately 83 boxes

Hence, 83 boxes are required to carry 800 books.

Learn more about Unitary Method at :

brainly.com/question/19423643

#SPJ4

4 0
1 year ago
Using number line what is 4-5​
Vinil7 [7]

Answer:

<h2>-1</h2>

Step-by-step explanation:

4 - 5 = -1

Count:

4, 3, 2, 1, 0, <u>-1</u>

6 0
2 years ago
Other questions:
  • What are the properties are these??? A+1a
    7·1 answer
  • Please help !!!!!!!!!!!!!
    7·1 answer
  • Choose Yes or No to tell whether each number is rational.
    7·1 answer
  • The slope of the line that passes through the point (2,4) and (3,8) is?
    15·1 answer
  • I want solution...please help me
    7·1 answer
  • 4(x+8)+9(6-2x)<br>plz explain me step by step plz answer me fast​
    9·2 answers
  • The ratio of cheese burger lunch orders to
    9·1 answer
  • How many 1/8-foot pieces of ribbon can be cut from a roll of ribbon that is 2 1/2
    11·2 answers
  • I need help with this. I'm so lost..​
    8·2 answers
  • Complete the solution of the equation. Find th<br> value of y when x equals -8.<br> -x - 4y = 16
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!