document.write( "Question 303060: Will someone help me with ths last homework question? Thank you.\r
\n" ); document.write( "\n" ); document.write( "Divide if possible, Simplify
\n" ); document.write( "10a^9/2 divided by 9a^4/6 \n" ); document.write( "
Algebra.Com's Answer #217225 by Deina(147)\"\" \"About 
You can put this solution on YOUR website!
If I understand you correctly, we are looking at:
\n" ); document.write( "\"+%2810a%5E9%2F2%29+%2F+%289a%5E4%2F6%29+\"

\n" ); document.write( "In standard notation it would be: (10a^9/2) / (9a^4/6)
\n" ); document.write( "Is that correct?
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\n" ); document.write( "\n" ); document.write( "If so:
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • Graphical form: \"%2810a%5E9%2F2%29%2F%289a%5E4%2F6%29\" simplifies to \"10%2Aa%5E%285%29%2F3\"
  • Text form: (10a^9/2)/(9a^4/6) simplifies to 10*a^(5)/3
  • Cartoon (animation) form: \"simplify_cartoon%28+%2810a%5E9%2F2%29%2F%289a%5E4%2F6%29+%29\"
    For tutors: simplify_cartoon( (10a^9/2)/(9a^4/6) )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"highlight_red%28+%28highlight_red%28+10%2Aa%5E9%2F2+%29%29%2F%289%2Aa%5E4%2F6%29+%29\".
Remove unneeded parentheses around factor \"highlight_red%28+10+%29\",\"highlight_red%28+a%5E9+%29\",\"highlight_red%28+1%2F2+%29\"
It becomes .
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Look at \"highlight_red%28+10%2Aa%5E9%2F2%2F%28highlight_red%28+9%2Aa%5E4%2F6+%29%29+%29\".
Remove unneeded parentheses around factor \"highlight_red%28+1%2F9+%29\",\"highlight_red%28+1%2Fa%5E4+%29\",\"highlight_red%28+6+%29\"
It becomes .
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Look at \"highlight_red%28+10+%29%2Aa%5E9%2Fhighlight_red%28+2+%29%2F9%2Fa%5E4%2A6\".
Factors 10 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes \"highlight_green%28+5+%29%2Aa%5E9%2Fhighlight_green%28+1+%29%2F9%2Fa%5E4%2A6\".
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Look at \"5%2Aa%5E9%2F1%2Fhighlight_red%28+9+%29%2Fa%5E4%2Ahighlight_red%28+6+%29\".
Factors 6 and 9 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes \"5%2Aa%5E9%2F1%2Fhighlight_green%28+3+%29%2Fa%5E4%2Ahighlight_green%28+2+%29\".
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Look at \"highlight_red%28+5+%29%2Aa%5E9%2F1%2F3%2Fa%5E4%2Ahighlight_red%28+2+%29\".
Multiplied numerator integers
It becomes \"highlight_green%28+10+%29%2Aa%5E9%2F1%2F3%2Fa%5E4\".
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Look at \"10%2Aa%5E9%2Fhighlight_red%28+1+%29%2Fhighlight_red%28+3+%29%2Fa%5E4\".
Multiplied denominator integers
It becomes \"10%2Aa%5E9%2Fhighlight_green%28+3+%29%2Fa%5E4\".
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Look at \"10%2Ahighlight_red%28+a%5E9+%29%2F3%2Fhighlight_red%28+a%5E4+%29\".
Reduce similar several occurrences of \"highlight_red%28+a%5E9+%29\" to \"highlight_green%28+a%5E%289-4%29+%29\"
It becomes \"10%2Ahighlight_green%28+a%5E%289-4%29+%29%2F3\".
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Look at \"10%2Aa%5E%28highlight_red%28+9+%29-highlight_red%28+4+%29%29%2F3\".
Added fractions or integers together
It becomes \"10%2Aa%5E%28highlight_green%28+5+%29%29%2F3\".
Result: \"10%2Aa%5E%285%29%2F3\"
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Universal Simplifier and Solver

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Done!
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