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
Darya [45]
3 years ago
15

Write as a monomial in standard form (−4x^2ya^3)^2

Mathematics
2 answers:
ZanzabumX [31]3 years ago
8 0

Answer:

16x⁴y²a⁶

Step-by-step explanation:

(−4x²ya³)^2

(-4)² × (x²)² + (y)² × (a³)²

16 × x⁴ × y² × a⁶

16x⁴y²a⁶

svetoff [14.1K]3 years ago
7 0

The given monomial in standard form is 16a^6x^4y^2

<em><u>Solution:</u></em>

A Monomial in standard form is the product of one or more factors: a constant coefficient and one factor for each variable in the expression.

<em><u>Given monomial is:</u></em>

(-4x^2ya^3)^2

We use the following law of exponents to solve the above monomial:

(ab)^n = a^nb^n\\\\(a^n)^m = a^{mn}

Using these in given monomial, we get

(-4x^2ya^3)^2 = (-4)^2(x^2)^2(y)^2(a^3)^2

Now applying the law of exponent (a^n)^m = a^{mn} we get,

(-4)^2(x^2)^2(y)^2(a^3)^2 = 16x^{2 \times 2}y^2a^{3 \times 2} = 16x^4y^2a^6

A monomial is in standard form when its term of highest degree is first, its term of 2nd highest is 2nd etc

Writing in standard form we get,

\rightarrow 16a^6x^4y^2

Thus the given monomial is written in standard form

You might be interested in
Use the formula for computing future value using compound interest to determine the value of an account at the end of 6 years if
nadezda [96]

Answer: the value of the account at the end of 6 years is is $8577

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 6000

r = 6% = 6/100 = 0.06

n = 4 because it was compounded 4 times in a year.

t = 6 years

Therefore,.

A = 6000(1+0.06/4)^4 × 6

A = 6000(1+0.015)^24

A = 6000(1.015)^24

A = $8577

5 0
3 years ago
An elevator starts at the basement with 8 people (not including the elevator operator) and discharges them all by the time it re
Rus_ich [418]

Answer:

1287

Step-by-step explanation:

Number of people in elevator , n = 8

Number of floors, r = 6

Since they all look alike, arrangement doesn't matter, the we use combination :

(n+r-1 r - 1) = (8+6-1 C 6-1) = 13C5

Recall:

nCr = n! / (n-r)!r!

13C5 = 13! / (13-5)!5!

13C5 = 13*12*11*10*9 / 5*4*3*2*1

= 1287

4 0
2 years ago
Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x). f(x) = 6 cos
meriva

Answer:

  Vertical stretch by a factor of 6

Step-by-step explanation:

Multiplying the function value by a constant moves its y-coordinate farther away from the x-axis by that factor. It causes a vertical stretch. Here, ...

  the vertical stretch factor is 6

7 0
2 years ago
A toy's store percent of markup is 35%.a model train costs 100$.what is the markup
Semenov [28]
Markup =35%
Model train cost =100
So 135%=100
1%=100/135
100%=100/35)*100=74.07
Original cost =74.07
7 0
3 years ago
Read 2 more answers
Carl is going to make a frame for a picture. The dimensions of the frame need to be 2 feet by 18 inches. How long must the board
MArishka [77]
The perimeter of an object is found by adding all of the sides.  The sides of his frame would be 2 ft, 2 ft, 1.5 ft (18 inches / 12 inches per foot = 1.5 feet), 1.5 feet.  Adding these together we get a total length of 7 feet.  However, he may want to use a slightly longer board to account for any errors!
4 0
2 years ago
Other questions:
  • PLEASE HELP!!! QUICK MATH QUESTION!!! :(((
    11·2 answers
  • Solve for w.<br> -4(11 + 1) = –24<br> W=
    7·2 answers
  • Which value is a solution to the inequality 9 – y &gt;12?
    8·2 answers
  • PLEASE HELP ASAP WORTH 30 POINTS Between which two whole numbers is ⎯⎯⎯⎯√square root of 12 ?
    9·1 answer
  • Solve the equation. 4(x − 7) − 128 = 9x − 5(x + 6)
    10·1 answer
  • 5x+2y=9, and 5x+10y=75,
    9·1 answer
  • At the kennel, there are 6 dogs for every 5 cats.
    14·2 answers
  • Zoey walked from school to the grocery store, and then to her house. The diagram shows the top view of the three locations and s
    12·1 answer
  • Barry collects comic books. He currently has 350 comic books and plans to buy 10 comic books each month. Which equation represen
    12·1 answer
  • Find the volume of the right triangular prism.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!