What is the simplified form of
of?
I'm going to post the problem
\[\frac{ 8x+3 }{ 12y^4 }\times \frac{ 20y^6 }{ 6x^8 }\]
multiply the top of both terms first, then divide the multiplication of the numerators. Does that make sense?
not at all.... Sorry, it's really late here and I'm so confused...
do it in parts can you simplify \[ \frac{y^6}{y^4} \]
y^2?
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)
5/19?
I get 5/18
my bad, yeah it's 5/18
\[ \frac{ 8x+3 }{ 12 }\cdot \frac{ 20y^2 }{ 6x^8 } \\ \frac{ 8x+3 }{ 1 }\cdot \frac{ 5y^2 }{ 18x^8 } \] we can't do much more
can we do anything else? It's multiple choice and that's not one of the choices...
I was suspicious of this problem. can you post the exact question and choices ?
sure
oh. notice that the question has 8x^3 and you wrote 8x+3 which is *very* different
wow... that wasn't a very intelligent thing to do.... sorry
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 \[ \frac{x^3}{x^8} \]?
wow... that wasn't a very intelligent thing to do.... sorry I would say sloppy... which is different... you can fix sloppy
1/x^5?
yes. remember that \[\frac{x^3}{x^8} = \frac{x \cdot x \cdot x}{x \cdot x \cdot x \cdot x \cdot x \cdot x \cdot x \cdot x } = \frac{ \cancel{x \cdot x \cdot x}}{\cancel{x \cdot x \cdot x}\cdot x \cdot x \cdot x \cdot x \cdot x} \]
8*5/18 simplifies to what ? I would divide top and bottom by 2 to get 4*5/9 which is 20/9
thank you soooooo much
\[ \frac{ 20y^2 }{ 9x^5 } \]
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