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Temka [501]
4 years ago
14

(3xy)^2x^4y simplifying an expression

Mathematics
1 answer:
DerKrebs [107]4 years ago
8 0

Answer:

36x^6y^3

Step-by-step explanation:

The problem needs application of law of indices

1. (xy)^m = x^my^m

This means common power for terms can be applied to each term individually.

x^a x^b = x^(a+b)\\

Separate power for the terms having  same base can be added together.

_______________________________________________________

we will be using these law of indices in the problem

(3xy)^2x^4y \\=> 3^2x^2y^2x^4y

applied the first rule of indices as mentioned above

3^2x^2y^2x^4y\\=>9*x^(2+4)4y^(2+1)\\=>9*4x^6y^3\\=>36x^6y^3

applied the second rule of indices as mentioned above

Thus, simplified form of (3xy)^2x^4y  is 36x^6y^3.

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Kara counted 32 red pens, 25 blue pens, 7 black pens, and 24 green pens. How many pens did Kara count?
motikmotik

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Which algebraic expression represents the phrase “the quotient of negative eight and the sum of a number and three”?
morpeh [17]

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Step-by-step explanation:

8 0
3 years ago
A train traveled 63.75 miles at a rate of 85 miles per hour. Which equation can be used to find h, the number of hours it took t
sashaice [31]

Answer:  63.75 = 85h

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Step-by-step explanation:

we now that speed = distance / time

therefore time will be Distance / speed

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Time(h) = 63.75miles/ 85.---- equation 1

But from the options given, the equation that can also  be used to find number of hours is

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8 0
3 years ago
A college some completed some courses worth 3 credits and some courses worth 4 credits. The students earned a total of 59 credit
Law Incorporation [45]

The student completed 13 courses with 3 credit hours.

Step-by-step explanation:

Total credit hours = 59 credits hours

Total courses = 18

Let,

3 credit hours courses = x

4 credit hours courses = y

According to statement;

x+y=18     Eqn 1

3x+4y=59   Eqn 2

Multiplying Eqn 1 by 3

3(x+y=18)\\3x+3y=54\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(3x+4y)-(3x+3y)=59-54\\3x+4y-3x-3y=5\\y=5

Putting y=5 in Eqn 1

x+5=18\\x=18-5\\x=13

The student completed 13 courses with 3 credit hours.

Keywords: linear equation, elimination method

Learn more about linear equations at:

  • brainly.com/question/12764620
  • brainly.com/question/12791734

#LearnwithBrainly

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