document.write( "Question 6290: I am having a hard time with this question, divide\r
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\n" ); document.write( "\n" ); document.write( "I think the answer is \r
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Algebra.Com's Answer #3362 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: \"%28m%5E2%2An%5E3%2Fp%5E3%29%2F%28m%2Ap%2Fn%5E2%29\" simplifies to \"m%2An%5E%285%29%2Fp%5E4\"
  • Text form: (m^2*n^3/p^3)/(m*p/n^2) simplifies to m*n^(5)/p^4
  • Cartoon (animation) form: \"simplify_cartoon%28+%28m%5E2%2An%5E3%2Fp%5E3%29%2F%28m%2Ap%2Fn%5E2%29+%29\"
    For tutors: simplify_cartoon( (m^2*n^3/p^3)/(m*p/n^2) )
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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+m%5E2%2An%5E3%2Fp%5E3+%29%29%2F%28m%2Ap%2Fn%5E2%29+%29\".
Remove unneeded parentheses around factor \"highlight_red%28+m%5E2+%29\",\"highlight_red%28+n%5E3+%29\",\"highlight_red%28+1%2Fp%5E3+%29\"
It becomes .
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Look at \"highlight_red%28+m%5E2%2An%5E3%2Fp%5E3%2F%28highlight_red%28+m%2Ap%2Fn%5E2+%29%29+%29\".
Remove unneeded parentheses around factor \"highlight_red%28+1%2Fm+%29\",\"highlight_red%28+1%2Fp+%29\",\"highlight_red%28+n%5E2+%29\"
It becomes .
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Look at \"highlight_red%28+m%5E2+%29%2An%5E3%2Fp%5E3%2Fhighlight_red%28+m+%29%2Fp%2An%5E2\".
Reduce similar several occurrences of \"highlight_red%28+m%5E2+%29\" to \"highlight_green%28+m%5E%28-1%2B2%29+%29\"
It becomes \"highlight_green%28+m%5E%28-1%2B2%29+%29%2An%5E3%2Fp%5E3%2Fp%2An%5E2\".
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Look at \"m%5E%28-1%2B2%29%2Ahighlight_red%28+n%5E3+%29%2Fp%5E3%2Fp%2Ahighlight_red%28+n%5E2+%29\".
Reduce similar several occurrences of \"highlight_red%28+n%5E3+%29\" to \"highlight_green%28+n%5E%283%2B2%29+%29\"
It becomes \"m%5E%28-1%2B2%29%2Ahighlight_green%28+n%5E%283%2B2%29+%29%2Fp%5E3%2Fp\".
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Look at \"m%5E%28-1%2B2%29%2An%5E%283%2B2%29%2Fhighlight_red%28+p%5E3+%29%2Fhighlight_red%28+p+%29\".
Reduce similar several occurrences of \"highlight_red%28+1%2Fp%5E3+%29\" to \"highlight_green%28+p%5E%28-1-3%29+%29\"
It becomes \"m%5E%28-1%2B2%29%2An%5E%283%2B2%29%2Ahighlight_green%28+p%5E%28-1-3%29+%29\".
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Look at \"m%5E%28highlight_red%28+-1+%29%2B2%29%2An%5E%283%2B2%29%2Ap%5E%28-1-3%29\".
Removed extra sign in front of \"-1\"
It becomes \"m%5E%28-highlight_green%28+1+%29%2B2%29%2An%5E%283%2B2%29%2Ap%5E%28-1-3%29\".
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Look at \"m%5E%28-1%2B2%29%2An%5E%283%2B2%29%2Ap%5E%28highlight_red%28+-1+%29-3%29\".
Removed extra sign in front of \"-1\"
It becomes \"m%5E%28-1%2B2%29%2An%5E%283%2B2%29%2Ap%5E%28-highlight_green%28+1+%29-3%29\".
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Look at .
Added fractions or integers together
It becomes \"m%5E%28highlight_green%28+1+%29%29%2An%5E%283%2B2%29%2Ap%5E%28-1-3%29\".
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Look at \"m%5Ehighlight_red%28+%281%29+%29%2An%5E%283%2B2%29%2Ap%5E%28-1-3%29\".
Removing power of one \"highlight_red%28+%281%29+%29\"
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Look at \"m%2An%5E%28highlight_red%28+3+%29%2Bhighlight_red%28+2+%29%29%2Ap%5E%28-1-3%29\".
Added fractions or integers together
It becomes \"m%2An%5E%28highlight_green%28+5+%29%29%2Ap%5E%28-1-3%29\".
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Look at \"m%2An%5E%285%29%2Ap%5E%28-highlight_red%28+1+%29-highlight_red%28+3+%29%29\".
Added fractions or integers together
It becomes \"m%2An%5E%285%29%2Ap%5E%28highlight_green%28+-4+%29%29\".
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Look at \"m%2An%5E%285%29%2Ap%5E%28highlight_red%28+-4+%29%29\".
Removed extra sign in front of \"-4\"
It becomes \"m%2An%5E%285%29%2Ap%5E%28-highlight_green%28+4+%29%29\".
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Look at \"m%2An%5E%285%29%2Ahighlight_red%28+p%5E%28-4%29+%29\".
Negative power changes multiplication to division
It becomes \"m%2An%5E%285%29%2Fhighlight_green%28+p%5E4+%29\".
Result: \"m%2An%5E%285%29%2Fp%5E4\"
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Universal Simplifier and Solver

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Done!
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