document.write( "Question 5839: simplify the expression, please.
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Algebra.Com's Answer #3008 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: \"r%5E%28-3%29%2As%5E5%2At%5E2%2Fr%5E2%2Fs%2Ft%5E%28-2%29\" simplifies to \"s%5E%284%29%2Fr%5E5%2At%5E%284%29\"
  • Text form: r^(-3)*s^5*t^2/r^2/s/t^(-2) simplifies to s^(4)/r^5*t^(4)
  • Cartoon (animation) form: \"simplify_cartoon%28+r%5E%28-3%29%2As%5E5%2At%5E2%2Fr%5E2%2Fs%2Ft%5E%28-2%29+%29\"
    For tutors: simplify_cartoon( r^(-3)*s^5*t^2/r^2/s/t^(-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 .
Reduce similar several occurrences of \"highlight_red%28+r%5E%28-3%29+%29\" to \"highlight_green%28+r%5E%28%28-3%29-2%29+%29\"
It becomes \"highlight_green%28+r%5E%28%28-3%29-2%29+%29%2As%5E5%2At%5E2%2Fs%2Ft%5E%28-2%29\".
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Look at .
Reduce similar several occurrences of \"highlight_red%28+s%5E5+%29\" to \"highlight_green%28+s%5E%28-1%2B5%29+%29\"
It becomes \"r%5E%28%28-3%29-2%29%2Ahighlight_green%28+s%5E%28-1%2B5%29+%29%2At%5E2%2Ft%5E%28-2%29\".
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Look at .
Reduce similar several occurrences of \"highlight_red%28+t%5E2+%29\" to \"highlight_green%28+t%5E%282-%28-2%29%29+%29\"
It becomes \"r%5E%28%28-3%29-2%29%2As%5E%28-1%2B5%29%2Ahighlight_green%28+t%5E%282-%28-2%29%29+%29\".
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Look at \"r%5E%28highlight_red%28+%28-3%29+%29-2%29%2As%5E%28-1%2B5%29%2At%5E%282-%28-2%29%29\".
Removed extra sign in front of \"-3\"
It becomes \"r%5E%28-highlight_green%28+3+%29-2%29%2As%5E%28-1%2B5%29%2At%5E%282-%28-2%29%29\".
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Look at \"r%5E%28-3-2%29%2As%5E%28highlight_red%28+-1+%29%2B5%29%2At%5E%282-%28-2%29%29\".
Removed extra sign in front of \"-1\"
It becomes \"r%5E%28-3-2%29%2As%5E%28-highlight_green%28+1+%29%2B5%29%2At%5E%282-%28-2%29%29\".
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Look at \"r%5E%28-3-2%29%2As%5E%28-1%2B5%29%2At%5E%282-highlight_red%28+%28-2%29+%29%29\".
Removed extra sign in front of \"2\"
It becomes \"r%5E%28-3-2%29%2As%5E%28-1%2B5%29%2At%5E%282%2Bhighlight_green%28+2+%29%29\".
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Look at .
Added fractions or integers together
It becomes \"r%5E%28highlight_green%28+-5+%29%29%2As%5E%28-1%2B5%29%2At%5E%282%2B2%29\".
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Look at \"r%5E%28-5%29%2As%5E%28-highlight_red%28+1+%29%2Bhighlight_red%28+5+%29%29%2At%5E%282%2B2%29\".
Added fractions or integers together
It becomes \"r%5E%28-5%29%2As%5E%28highlight_green%28+4+%29%29%2At%5E%282%2B2%29\".
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Look at \"r%5E%28-5%29%2As%5E%284%29%2At%5E%28highlight_red%28+2+%29%2Bhighlight_red%28+2+%29%29\".
Added fractions or integers together
It becomes \"r%5E%28-5%29%2As%5E%284%29%2At%5E%28highlight_green%28+4+%29%29\".
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Look at \"r%5E%28highlight_red%28+-5+%29%29%2As%5E%284%29%2At%5E%284%29\".
Removed extra sign in front of \"-5\"
It becomes \"r%5E%28-highlight_green%28+5+%29%29%2As%5E%284%29%2At%5E%284%29\".
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Look at \"highlight_red%28+r%5E%28-5%29+%29%2As%5E%284%29%2At%5E%284%29\".
Negative power changes multiplication to division
It becomes \"1%2Fhighlight_green%28+r%5E5+%29%2As%5E%284%29%2At%5E%284%29\".
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Look at \"highlight_red%28+1+%29%2Fr%5E5%2As%5E%284%29%2At%5E%284%29\".
Remove extraneous '1' from product \"highlight_red%28+1+%29\"
It becomes \"s%5E%284%29%2Fr%5E5%2At%5E%284%29\".
Result: \"s%5E%284%29%2Fr%5E5%2At%5E%284%29\"
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Universal Simplifier and Solver

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Done!
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