document.write( "Question 289435: can anyone show me how to simplify this problem without negative exponents? \"++%28+x%2Ay%5E5+%2F+x%5E-4y%5E2+%29%5E-2+\" \n" ); document.write( "
Algebra.Com's Answer #209636 by Deina(147)\"\" \"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: \"%28x%2Ay%5E5%2Fx%5E%28-4%29%2Ay%5E2%29%5E%28-2%29\" simplifies to \"1%2F%28x%5E%285%29%2Ay%5E%287%29%29%5E2\"
  • Text form: (x*y^5/x^(-4)*y^2)^(-2) simplifies to 1/(x^(5)*y^(7))^2
  • Cartoon (animation) form: \"simplify_cartoon%28+%28x%2Ay%5E5%2Fx%5E%28-4%29%2Ay%5E2%29%5E%28-2%29+%29\"
    For tutors: simplify_cartoon( (x*y^5/x^(-4)*y^2)^(-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 \"%28highlight_red%28+x+%29%2Ay%5E5%2Fhighlight_red%28+x%5E%28-4%29+%29%2Ay%5E2%29%5E%28-2%29\".
Reduce similar several occurrences of \"highlight_red%28+x+%29\" to \"highlight_green%28+x%5E%281-%28-4%29%29+%29\"
It becomes \"%28highlight_green%28+x%5E%281-%28-4%29%29+%29%2Ay%5E5%2Ay%5E2%29%5E%28-2%29\".
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Look at .
Reduce similar several occurrences of \"highlight_red%28+y%5E5+%29\" to \"highlight_green%28+y%5E%285%2B2%29+%29\"
It becomes \"%28x%5E%281-%28-4%29%29%2Ahighlight_green%28+y%5E%285%2B2%29+%29%29%5E%28-2%29\".
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Look at \"%28x%5E%281-highlight_red%28+%28-4%29+%29%29%2Ay%5E%285%2B2%29%29%5E%28-2%29\".
Removed extra sign in front of \"4\"
It becomes \"%28x%5E%281%2Bhighlight_green%28+4+%29%29%2Ay%5E%285%2B2%29%29%5E%28-2%29\".
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Look at \"%28x%5E%28highlight_red%28+1+%29%2Bhighlight_red%28+4+%29%29%2Ay%5E%285%2B2%29%29%5E%28-2%29\".
Added fractions or integers together
It becomes \"%28x%5E%28highlight_green%28+5+%29%29%2Ay%5E%285%2B2%29%29%5E%28-2%29\".
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Look at \"%28x%5E%285%29%2Ay%5E%28highlight_red%28+5+%29%2Bhighlight_red%28+2+%29%29%29%5E%28-2%29\".
Added fractions or integers together
It becomes \"%28x%5E%285%29%2Ay%5E%28highlight_green%28+7+%29%29%29%5E%28-2%29\".
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Look at \"highlight_red%28+%28x%5E%285%29%2Ay%5E%287%29%29%5E%28-2%29+%29\".
Negative power changes multiplication to division
It becomes \"1%2Fhighlight_green%28+%28x%5E%285%29%2Ay%5E%287%29%29%5E2+%29\".
Result: \"1%2F%28x%5E%285%29%2Ay%5E%287%29%29%5E2\"
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Universal Simplifier and Solver

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Done!
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