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
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.

You might be interested in
Jason's insurance company pays 80% of the cost of an ambulance ride, after he pays a $200 deductible. The ambulance ride costs $
Y_Kistochka [10]
Jason's insurance pays 80% of the cost after he pays a $200 deductible. The deductible is Jason's responsibility. The insurance does not pay this and calculates the 80% AFTER it is subtracted from the total cost.

That's 1200 - 200 = 1000.

The insurance pays 80% of 1000. Percent means "out of 100" (per means "for every" and "cent" means 100 --> think CENTury...100 years). So 80% means 80 out of 100. That is, \frac{80}{100}. To find 80% of 1000 we multiply: (\frac{80}{100})( 1000) =  \frac{80000}{100}=800


If decimals are more your thing then represent 80% as .80 and multiply (1000)(.80) = 800.

Now, that's what the insurance pays. So out of that $1,000 the insurance pays $800 leaving Jason with a bill of $200 plus the deductible (another $200). That means Jason pays $400.
6 0
3 years ago
Read 2 more answers
Anyone know this??????
IrinaK [193]
3333333333 is 3333333
6 0
4 years ago
1.) In \large 10^5 the "10" is the exponent/power and the "5" is the base. Is this true or false?
Over [174]

Answer:

False.

Step-by-step explanation:

10 is the base and 5 is the exponent

10^{5}

4 0
3 years ago
During the month of April, Dora kept track of the bugs she saw in her garden. She saw a ladybug on 23 days of the month. What is
Vinvika [58]
D. 23/30 This is saying that out of 30 days, 23 of them she saw a ladybug, which means that each day, there is a 23/30 chance of finding one. 
4 0
4 years ago
How many cm make 1m? Can some pls tell me from mm to km
Alborosie

Answer:

100cm= 1m

100000mm= 1km

5 0
3 years ago
Other questions:
  • Does the information help you prove that ABCD is a parallelogram? Explain
    5·1 answer
  • A quarter of the sum of a number and 20 is equivalent to 30. Find the number.
    12·1 answer
  • Choose the correct graph of the function y= -8(2^x)
    8·1 answer
  • Mckenzie bought 1.2 pounds of coffee for 11.82 what was cost of per pound
    10·1 answer
  • Which two numbers are solutions of 2n - 15≤ = -3 <br><br> ×║thank you║×
    11·2 answers
  • If the pacific ocean is represented by the square with 3 cm sides what is the area of this square
    10·2 answers
  • Estimate.<br> 15 = 2.57 ~
    6·2 answers
  • Can someone tell me what 800/600+700-2300*32234 equals?
    10·1 answer
  • Can somebody help me plz
    10·1 answer
  • Please help me and explain well!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!