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
Aeg = 10 solve for g
Volgvan
^ is correct ! the person above
3 0
3 years ago
John went shopping and bought each of his 5 nephews a gift, either a video costing $14.95 or a CD costing $16.88. He spent $76.6
marysya [2.9K]
John bought 1 CD. $16.88
And he bought 4 videos. $14.95
8 0
3 years ago
HELP<br> I also need the answer to this
ser-zykov [4K]

Hey!

To divide fractions, you have to keep, change, flip.

Keep 3 1/2(7/2)

Change ÷ to ×

Flip 2 1/4(9/4) = 4/9

Now multiply the improper fractions

\frac{7}{2} \times \frac{4}{9} = \frac{28}{18} = 1 \frac{10}{18} = 1 \frac{5}{9}

<em>The 1st choice matches the answer. The answer is the 1st choice.</em>

Good luck and hope this helps! :)

5 0
3 years ago
Choose the number that has a 5 with a value 10 times less than the value of the 5 in the number in 54,271
Zigmanuir [339]
The answer is 500,000 because you have add a zero sense it's times 10
6 0
3 years ago
Find the solutions to the equation below 6x^2+5-4=0
Kipish [7]

Answer:i√6/6 ,  -i√6/6

Step-by-step explanation:

6x^2+5-4=0

6x^2=-5+4

x=√-1/6

x=±i√1/60=±i√1/√6*(√6/√6)=±i√6/6

3 0
3 years ago
Other questions:
  • Finding Account Balances In Exercise,complete the table to determine the table A for P dollars invested at rate r for t years,co
    8·1 answer
  • Your baseball team has won 6 games and lost 4 games. If the team does not lose any more games, how many games must the team win
    15·1 answer
  • If y varies inversely with x and y = 6 when x = 3, then what is y when x = 2?
    15·1 answer
  • Pls answer this question ​
    8·2 answers
  • The temperature of a city B (x) last week was lesser than or equal to - 9°C.
    7·1 answer
  • Use the formula to compute Isabel’s monthly loan payment, assuming that she makes a down payment of $5,000. Recall that the tabl
    14·1 answer
  • Hi. I need help with these questions (see image)<br>Please show workings.<br>​
    15·1 answer
  • Please help if u do You will get 10 Pts so Please it will mean allot to me if u do
    11·2 answers
  • I will fail if i dont pass this test plzz help!!​
    8·1 answer
  • Solve the following the inequality: 12 &lt; 4x - 16 &lt; 16
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!