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Mathematics 18 Online
OpenStudy (anonymous):

What is the simplified form of

OpenStudy (♪chibiterasu):

of?

OpenStudy (anonymous):

I'm going to post the problem

OpenStudy (anonymous):

\[\frac{ 8x+3 }{ 12y^4 }\times \frac{ 20y^6 }{ 6x^8 }\]

OpenStudy (anonymous):

multiply the top of both terms first, then divide the multiplication of the numerators. Does that make sense?

OpenStudy (anonymous):

not at all.... Sorry, it's really late here and I'm so confused...

OpenStudy (phi):

do it in parts can you simplify \[ \frac{y^6}{y^4} \]

OpenStudy (anonymous):

y^2?

OpenStudy (phi):

yes. that means your problem \[ \frac{ 8x+3 }{ 12y^4 }\cdot \frac{ 20y^6 }{ 6x^8 } \\ \frac{ 8x+3 }{ 12 }\cdot \frac{ 20y^2 }{ 6x^8 } \] now simplify 20/(12*6)

OpenStudy (anonymous):

5/19?

OpenStudy (phi):

I get 5/18

OpenStudy (anonymous):

my bad, yeah it's 5/18

OpenStudy (phi):

\[ \frac{ 8x+3 }{ 12 }\cdot \frac{ 20y^2 }{ 6x^8 } \\ \frac{ 8x+3 }{ 1 }\cdot \frac{ 5y^2 }{ 18x^8 } \] we can't do much more

OpenStudy (anonymous):

can we do anything else? It's multiple choice and that's not one of the choices...

OpenStudy (phi):

I was suspicious of this problem. can you post the exact question and choices ?

OpenStudy (anonymous):

sure

OpenStudy (anonymous):

OpenStudy (phi):

oh. notice that the question has 8x^3 and you wrote 8x+3 which is *very* different

OpenStudy (anonymous):

wow... that wasn't a very intelligent thing to do.... sorry

OpenStudy (phi):

so what you have is \[ \frac{ 8x^3 }{ 1 }\cdot \frac{ 5y^2 }{ 18x^8 } \] now we can simplify the numbers: 8*5/18 simplifies to what ? can you simplify \[ \frac{x^3}{x^8} \]?

OpenStudy (phi):

wow... that wasn't a very intelligent thing to do.... sorry I would say sloppy... which is different... you can fix sloppy

OpenStudy (anonymous):

1/x^5?

OpenStudy (phi):

yes. remember that \[\frac{x^3}{x^8} = \frac{x \cdot x \cdot x}{x \cdot x \cdot x \cdot x \cdot x \cdot x \cdot x \cdot x } = \frac{ \cancel{x \cdot x \cdot x}}{\cancel{x \cdot x \cdot x}\cdot x \cdot x \cdot x \cdot x \cdot x} \]

OpenStudy (phi):

8*5/18 simplifies to what ? I would divide top and bottom by 2 to get 4*5/9 which is 20/9

OpenStudy (anonymous):

thank you soooooo much

OpenStudy (phi):

\[ \frac{ 20y^2 }{ 9x^5 } \]

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