Mathematics
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OpenStudy (anonymous):
Multiply:
4x^y/12x x 24x^2y^2/6xy
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OpenStudy (anonymous):
\[\frac{4x^y}{12x}\times\frac{24x^2y^2}{6xy}\]?
OpenStudy (anonymous):
Yes :)
OpenStudy (anonymous):
Oh wait no. Hold on.
OpenStudy (anonymous):
\[\frac{4x ^{2}y }{12x } \times \frac{24x^{2}y^{2} }{6xy}\]
OpenStudy (anonymous):
@Peter14 ^^
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OpenStudy (anonymous):
ok, that makes more sense.
Just multiply straight across and simplify
OpenStudy (anonymous):
So \[96x ^{4}y ^{2}\] first line?
OpenStudy (anonymous):
@Peter14
OpenStudy (anonymous):
96 x^4 y^3
OpenStudy (anonymous):
Oh oops. See my mistake.
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OpenStudy (anonymous):
\[72x^{2}y\] second line? @Peter14
OpenStudy (anonymous):
looks right
OpenStudy (anonymous):
\[\frac{ 96x^{4}y^{3} }{ 72x^{2}y }\]
OpenStudy (anonymous):
Now do I simplify?
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
Okay so it goes to \[\frac{ 4 }{ 3 }\] and then..?
OpenStudy (anonymous):
you still have x^2 y^2
OpenStudy (anonymous):
How do I reduce those?
OpenStudy (anonymous):
Can you finish it for me? I still have other questions to ask and it's late. Please & thank you.
OpenStudy (anonymous):
you can represent 96 x^4 y^3/72 x^2 y as
|dw:1366852569947:dw|
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OpenStudy (anonymous):
|dw:1366852672773:dw|
OpenStudy (anonymous):
cancel xs with xs and ys with ys (this works because anything/itself is zero)
and you simplify 96/72 to 4/3
OpenStudy (anonymous):
That makes it much clearer thanks! So \[\frac{ 96x ^{2}y }{ 72 }\]
OpenStudy (anonymous):
4x^2y / 3
OpenStudy (anonymous):
Appreciate it!
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OpenStudy (anonymous):
yes, you're right
hartnn (hartnn):
wouldn't it be y^2 in numerator ?
hartnn (hartnn):
4x^2y^2 / 3
OpenStudy (anonymous):
oh, yes, thank you hartnn
OpenStudy (anonymous):
Thanks!
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hartnn (hartnn):
welcome ^_^