Mathematics
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OpenStudy (anonymous):
Assuming x ≠ 0 and y ≠ 0, what is the quotient of ...
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OpenStudy (anonymous):
\[24x^6y^2 + 16x^4y^3 + 8x^2y^4 \over 4x^2y\]
OpenStudy (anonymous):
@misty1212
OpenStudy (freckles):
separate the three fractions
OpenStudy (anonymous):
How? Can you walk me through it please? :)
OpenStudy (freckles):
\[\frac{24 x^6y^2}{4x^2y}+\frac{16x^4y^3}{4x^2y}+\frac{8x^2y^4}{4x^2y}\]
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OpenStudy (freckles):
now simplify wach fraction
OpenStudy (freckles):
24/4=?
x^6/x^2=? use quotient rule
y^2/y=?
OpenStudy (anonymous):
Okay, gimme a sec to do this on paper. Please don't leave yet.
OpenStudy (anonymous):
Would we have 6, x^4 and y?
OpenStudy (freckles):
yep
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OpenStudy (anonymous):
Okay. Do you know what to do from here?
OpenStudy (freckles):
\[\frac{24 x^6y^2}{4x^2y}+\frac{16x^4y^3}{4x^2y}+\frac{8x^2y^4}{4x^2y} \\ 6x^4y+\frac{16x^4y^3}{4x^2y}+\frac{8x^2y^4}{4x^2y} \]
OpenStudy (freckles):
you need to do the other two fractions
OpenStudy (anonymous):
Also, I apologize for any delayed replies. My computer is having issues.
OpenStudy (anonymous):
Okay. One minute.
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OpenStudy (anonymous):
Sorry I had something burning in the kitchen.
OpenStudy (anonymous):
Would we have 4, x^2 and y^2?
OpenStudy (anonymous):
For the second fraction
OpenStudy (anonymous):
And for the third fraction would we have 2, x and y^3?
OpenStudy (freckles):
the third fraction is just a lil bit off
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OpenStudy (freckles):
anything not equal to 0
where you have that anything divide by itself is 1
OpenStudy (freckles):
that is like example
5/5=1
6/6=1
-5/-5=1
x not 0
x/x=1
x^2/x^2=1
OpenStudy (anonymous):
I thought that a variable always had ^1 but it was not seen. For example, instead of x^1 it would be x.
OpenStudy (freckles):
x^1 is x
OpenStudy (freckles):
x^0 is 1
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OpenStudy (anonymous):
Oh I understand now! Thank you! :)
OpenStudy (freckles):
np