Simplifiction of a fraction....?

Question

12x^7y^6 over
3x^4y^3


^= to the power of.

the answer they have is 4x^3y^3.
I have no idea how they got that answer.
my answer was wrong.
really need some help with this equation ...its driving me nuts,

Answer 1

divide 12/3 = 4

x^7/x^4=x^3 (you subtract the exponents)
y^6/y^3=y^3
so answer
4x^3y^3

Answer 2

Okay. You have 12x^7y^6/ 3x^4y^3. When you are dividing variable numbers with exponents, start with one variable, like x here. You have 12x^7 on top and 3x^4 on the bottom. You can do two things to these. 12 is divisible by 3, and they both have common variables so you divide that and get 4. Then since they are both exponents of x, and you are dividing, you subtract the exponents of x. So you have x^7-x^3= x^3. So the first part of the answer is (4x^3). Then you do the same with the next variable. You have y^6/ y^3. You don't have any variables, or it's understood to be 1. You can just subtract the exponents here to get y^3. Put it all together and you have 4x^3y^3. Remember that when you multiply exponents you add, dividing you subtract.

Answer 3

Divide numbers, subtract exponents

4x^7-4y^6-3 = 4x^3y^3

Answer 4

Step 1: Divide the coefficients (The numbers at the front)
12/3=4

Step 2: x^7/x^4 = x^(7-4) = x^3

Step 3: y^6/y^3 = y^(6-3) = y^3

Answer: 4x^3y^3

Answer 5

(12x^7y^6)/(3x^4y^3)=
look at the like variables and collect the terms:
(12/3)(x^7/x^4)(y^6/y^3)=
4x^3y^3

Answer 6

(12x^7y^6 )/(3x^4y^3) = 12/4 *( x^7/x^4)*(y^6/y^3) = 3*x^(7 -3) * (y^(6 - 3) = 3*(x^3)*(y^3)

Answer 7

first, split the eqn into two parts:
Part 1:12(x^7)/3(x^4)
Part 2: (y^6)/(y^3)
For part 1, 12/3=4, (x^7)/(x^4)=(x^3)
For part 2, (y^6)/(y^3)=(y^3)
Combine, answer is 4(x^3)(y^3)...

Answer 8

12x^7y^6/(3x^4y^3=4x^2y^3

Answer 9

4x^3 y^3