document.write( "Question 286726: (3Y^4 n^6)^2/ (Y^2 n^-3)^4 please help me understand this \n" ); document.write( "
Algebra.Com's Answer #207931 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • Graphical form: \"%283Y%5E4n%5E6%29%5E2%2F%28Y%5E2n%5E-3%29%5E4\" simplifies to \"3%2AY%5E2\"
  • Text form: (3Y^4n^6)^2/(Y^2n^-3)^4 simplifies to 3*Y^2
  • Cartoon (animation) form: \"simplify_cartoon%28+%283Y%5E4n%5E6%29%5E2%2F%28Y%5E2n%5E-3%29%5E4+%29\"
    For tutors: simplify_cartoon( (3Y^4n^6)^2/(Y^2n^-3)^4 )
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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 \"%283%2AY%5E4%2An%5E6%29%5E2%2F%28Y%5E2%2Ahighlight_red%28+n%5E-3+%29%29%5E4\".
Negative power changes multiplication to division
It becomes \"%283%2AY%5E4%2An%5E6%29%5E2%2F%28Y%5E2%2Fhighlight_green%28+n%5E3+%29%29%5E4\".
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Look at .
Canceled out common factors (Y-(0)),(Y-(0))
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Look at \"highlight_red%28+%28highlight_red%28+3%2AY%5E2+%29%29%2F%281%29+%29\".
Remove unneeded parentheses around factor \"highlight_red%28+3+%29\",\"highlight_red%28+Y%5E2+%29\"
It becomes \"highlight_green%28+3+%29%2Ahighlight_green%28+Y%5E2+%29%2F%281%29\".
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Look at \"highlight_red%28+3%2AY%5E2%2F%28highlight_red%28+1+%29%29+%29\".
Remove unneeded parentheses around factor \"highlight_red%28+1%2F1+%29\"
It becomes \"3%2AY%5E2%2Fhighlight_green%28+1+%29\".
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Look at \"3%2AY%5E2%2Fhighlight_red%28+1+%29\".
Remove extraneous '1' from product \"highlight_red%28+1%2F1+%29\"
It becomes \"3%2AY%5E2\".
Result: \"3%2AY%5E2\"
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Universal Simplifier and Solver

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Done!
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