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Mathematics 18 Online
OpenStudy (jravenv):

Would someone kindly give their help? screencap in comments.

OpenStudy (jravenv):

OpenStudy (kropot72):

To solve this, you need to remember that when dividing powers of terms with the same base you need to subtract the indices. For example \[\large \frac{w^{6} x^{4}}{w^{2} x^{3}}=w^{(6-2)}x^{(4-3)}=w^{4}x\]

OpenStudy (jravenv):

I don't know how to do that :/

OpenStudy (kropot72):

\[\large \frac{4x^{3} y^{4}}{-8xy^{2}}=\frac{4}{-8} \times x^{(3-1)}y^{(4-2)}=?\]

OpenStudy (jravenv):

This is too complicated for me, can you help me break it down?

OpenStudy (kropot72):

Can you subtract 1 from 3, and subtract 2 from 4?

OpenStudy (jravenv):

2 and 2 so yes

OpenStudy (kropot72):

Correct. And what is 4/-8?

OpenStudy (jravenv):

-1/2

OpenStudy (unklerhaukus):

yeah, and what isare (3-1) ? , (4-2) ?

OpenStudy (unklerhaukus):

yeah you had 2 and 2, so... \[\large \frac{4x^{3} y^{4}}{-8xy^{2}}\\ =\frac{4}{-8} \times x^{(3-1)}y^{(4-2)}\\ =\frac{-1}2x^2y^2\]

OpenStudy (jravenv):

I don't get that :( I'm sorry I have a horrible instructor

OpenStudy (kropot72):

What part don't you get? You have correctly answered the sections that were broken down for you.

OpenStudy (jravenv):

The formatting makes my brain shut down

OpenStudy (jravenv):

I don't get it

OpenStudy (kropot72):

So the correct choice has -1/2, x^2 and y^2.

OpenStudy (anonymous):

4x3y4/8xy2 Reduce the expression by cancelling the common factors. More Steps Factor 4 out of 4x3y4. 4(x3y4)−8xy2 Rewrite the expression. x3y4−2xy2 x3y4−2xy2 Reduce the expression by cancelling the common factors. More Steps Factor x out of x3y4. x(x2y4)−2xy2 Rewrite the expression. x2y4−2y2 x2y4−2y2 Reduce the expression by cancelling the common factors. More Steps Factor y2 out of x2y4. y2(x2y2)−2y2 Rewrite the expression. x2y2/-2 x2y2/-2 Move the negative in front of the fraction. −x2y2/2

OpenStudy (jravenv):

Thank you all so much. I get it so much more now.

OpenStudy (kropot72):

You're welcome :)

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