Factor the following expression .
16v^8 x^9 -28v^2x^6y^3

Question

Factor the following expression .
16v^8 x^9 -28v^2x^6y^3

eunice_o · Answer

@Photon336

eunice_o · Answer

do i take the highest exponent or lowest ?

ask_if_im_a_ghost · Answer

The lowest

eunice_o · Answer

when do i ever take the highest exponent ?

decentnabeel · Answer

$$16v^8 x^9 -28v^2x^6y^3$$
$$\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba$$
$$x^9=x^6x^3,\:v^8=v^2v^6$$
$$=16x^6x^3v^2v^6-28y^3x^6v^2$$
$$\mathrm{Factor\:out\:common\:term\:}4v^2x^6$$
$$=4v^2x^6\left(4v^6x^3-7y^3\right)$$

decentnabeel · Answer

@Eunice_O  are you understand

rhondasommer · Answer

Hello :D I can help you go through it step by step. would you like that?

eunice_o · Answer

yes

rhondasommer · Answer

okay great. :D give me one second...(i want to solve it so im sure you dont mess up)

rhondasommer · Answer

$$What~is~the~largest~number~that~divides~evenly~into~16v^8x^9 and −28v^2x^6y^3?$$

eunice_o · Answer

4?

rhondasommer · Answer

yep :D

eunice_o · Answer

but how do i know when to take the highest exponent ?

rhondasommer · Answer

$$What~is~the~highest~degree~of~v~that~divides~evenly~into\16v^8x^9~and~−28v^2x^6y^3$$

eunice_o · Answer

v^8?

rhondasommer · Answer

not quite...
what is the smallest exponent, 2? or 8?

eunice_o · Answer

2? but u asked me the highest degree

rhondasommer · Answer

that will divide evenly with both of them

rhondasommer · Answer

you couldnt divide 8 out of the other one because it only had 2

eunice_o · Answer

okay but can you please help me with this other question i really do not understand it . Please :)?

rhondasommer · Answer

._. do you fully get this one?

eunice_o · Answer

yes

rhondasommer · Answer

post it as a new question