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
Anvisha [2.4K]
3 years ago
13

Which of the following is equivalent to the expression (9x^2y^3)(12x^-3y^5)(2xy)?

Mathematics
2 answers:
VladimirAG [237]3 years ago
6 0

Answer:

\large\boxed{(9x^2y^3)(12x^{-3}y^5)(2xy)=216y^9}\to\boxed{B.}

Step-by-step explanation:

(9x^2y^3)(12x^{-3}y^5)(2xy)=(9\cdot12\cdot2)(x^2x^{-3}x)(y^3y^5y)\\\\\text{Use}\ a^n\cdot a^m=a^{n+m}\\\\=216x^{2+(-3)+1}y^{3+5+1}=216x^0y^9\\\\\text{Use}\ a^0=1\ \text{for any value of}\ a\ \text{except 0}\\\\=216y^9

Luden [163]3 years ago
3 0

Answer:

=216y^9

Step-by-step explanation:

the expression is:

(9x^2y^3)(12x^{-3}y^5)(2xy)

the first step is to multiply all the coefficients:

9*12*2=216

and as for the variables, to multiply them we must add the exponents, that is, the result for x will be:

x^{2-3+1}=x^0=1

so there will be no x in our result.

adding the exponents for the y variable:

y^{3+5+1}=y^9

The result is the multiplied coefficients and the variables after we add the exponents they in the original expression:

(9x^2y^3)(12x^{-3}y^5)(2xy)=216y^9

which is option B

You might be interested in
What is the length of segment DB?
tatyana61 [14]
I believe it’s 82

8x=3x+8+4x+10
x=18

4•18+10=72+10=82
3 0
3 years ago
Function 1: y = 4x + 5
vlabodo [156]
Y=mx+b
m=slope

given
y=4x+5
m=4=slope

2.
for the points (x1,y1) and (x2,y2), the slope of the line passing trhough those points is (y2-y1)/(x2-x1)
given
(1,6) and (3,10)
slope=(10-6)/(3-1)=4/2=2


function 1 slope is 4
function 2 slope is 2
4>2

the first one has greater rate of change
6 0
3 years ago
Read 2 more answers
Allison plays basketball and last season she made a total of 87 shots (two- or three- point shots). Her points total was 191. Ho
yarga [219]

Answer:

17

Step-by-step explanation:

Let the number of 2 point shots be t.

Let the number of 3 point shots be h.

Allison made 87 shots and scored 191 total points. This implies two things:

t + h = 87 ________(1)

2t + 3h = 191 ______(2)

Let us eliminate t by multiplying (1) by 2 and subtracting from (2):

=> 2t + 3h = 191

 -  <u>2t + 2h = 174</u>

     <u>          h  = 17 </u>

<u />

Therefore, she made 17 three point shots.

4 0
3 years ago
What is the opposite of taking a power of a number called
frutty [35]
Square rooting a number
3 0
2 years ago
There were n votes cast in an election. Ms. Gordy received 32% of the votes. Which expression represents the number of votes Ms.
Mamont248 [21]

Answer:

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Help me with number 2 please!!!
    11·1 answer
  • PLEASE HELP WILL MARK BRAINLIEST <br>27+y=14 y=3x²-4​
    13·1 answer
  • Need help from the same last question. (I dont need to do #10)
    13·1 answer
  • Write a word phrase for the following algebraic expression. 3(p + 5)
    13·1 answer
  • Two pumps are filling a pool. One of them is high power and can fill the pool alone in 2 hours less time than the other can do s
    5·1 answer
  • A box has 16 balls, of which 8 are green, 6 are red, and 2 are blue. if you draw 2 balls with replacement, what is the probabili
    9·1 answer
  • Explain how you can use a quick picture to find 3x2.7
    13·1 answer
  • Analyzing Dialogue
    13·2 answers
  • For a Saturday matinee, adult tickets cost $4.50 and kids under 12 pay only $2.00. If 100 tickets are sold for a total of $350,
    6·1 answer
  • Help me with this asap right now please i will mark brainlest
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!