document.write( "Question 213527: \"6%5E3-7%2A3%5E4-2%5E5%2A9+%2F+%281-2%5E3%29%2B7%5E3\"\r
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Algebra.Com's Answer #161430 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: \"6%5E3-7%2A3%5E4-2%5E5%2A9%2F%281-2%5E3%29%2B7%5E3\" simplifies to \"33.1428571428571\"
  • Text form: 6^3-7*3^4-2^5*9/(1-2^3)+7^3 simplifies to 33.1428571428571
  • Cartoon (animation) form: \"simplify_cartoon%28+6%5E3-7%2A3%5E4-2%5E5%2A9%2F%281-2%5E3%29%2B7%5E3+%29\"
    For tutors: simplify_cartoon( 6^3-7*3^4-2^5*9/(1-2^3)+7^3 )
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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+6+%29%5Ehighlight_red%28+3+%29-7%2A3%5E4-2%5E5%2A9%2F%281-2%5E3%29%2B7%5E3\".
Replace constants in factor: \"highlight_red%28+6+%29\",\"highlight_red%28+3+%29\" with \"highlight_green%28+216+%29\"
It becomes \"highlight_green%28+216+%29-7%2A3%5E4-2%5E5%2A9%2F%281-2%5E3%29%2B7%5E3\".
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Look at \"216-7%2Ahighlight_red%28+3+%29%5Ehighlight_red%28+4+%29-2%5E5%2A9%2F%281-2%5E3%29%2B7%5E3\".
Replace constants in factor: \"highlight_red%28+3+%29\",\"highlight_red%28+4+%29\" with \"highlight_green%28+81+%29\"
It becomes \"216-7%2Ahighlight_green%28+81+%29-2%5E5%2A9%2F%281-2%5E3%29%2B7%5E3\".
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Look at \"216-7%2A81-highlight_red%28+2+%29%5Ehighlight_red%28+5+%29%2A9%2F%281-2%5E3%29%2B7%5E3\".
Replace constants in factor: \"highlight_red%28+2+%29\",\"highlight_red%28+5+%29\" with \"highlight_green%28+32+%29\"
It becomes \"216-7%2A81-highlight_green%28+32+%29%2A9%2F%281-2%5E3%29%2B7%5E3\".
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Look at \"216-7%2A81-32%2A9%2F%281-highlight_red%28+2+%29%5Ehighlight_red%28+3+%29%29%2B7%5E3\".
Replace constants in factor: \"highlight_red%28+2+%29\",\"highlight_red%28+3+%29\" with \"highlight_green%28+8+%29\"
It becomes \"216-7%2A81-32%2A9%2F%281-highlight_green%28+8+%29%29%2B7%5E3\".
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Look at \"216-7%2A81-32%2A9%2F%28highlight_red%28+1+%29-highlight_red%28+8+%29%29%2B7%5E3\".
Added fractions or integers together
It becomes \"216-7%2A81-32%2A9%2F%28highlight_green%28+-7+%29%29%2B7%5E3\".
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Look at \"216-7%2A81-32%2A9%2F%28-7%29%2Bhighlight_red%28+7+%29%5Ehighlight_red%28+3+%29\".
Replace constants in factor: \"highlight_red%28+7+%29\",\"highlight_red%28+3+%29\" with \"highlight_green%28+343+%29\"
It becomes \"216-7%2A81-32%2A9%2F%28-7%29%2Bhighlight_green%28+343+%29\".
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Look at \"highlight_red%28+216+%29-7%2A81-32%2A9%2F%28-7%29%2Bhighlight_red%28+343+%29\".
Added fractions or integers together
It becomes \"highlight_green%28+559+%29-7%2A81-32%2A9%2F%28-7%29\".
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Look at \"559-7%2A81-32%2A9%2F%28highlight_red%28+-7+%29%29\".
Removed extra sign in front of \"-7\"
It becomes \"559-7%2A81-32%2A9%2F%28-highlight_green%28+7+%29%29\".
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Look at \"559-7%2A81-highlight_red%28+32%2A9%2F%28-7%29+%29\".
Removed extra sign in front of \"41.1428571428571\"
It becomes \"559-7%2A81%2Bhighlight_green%28+41.1428571428571+%29\".
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Look at \"559-highlight_red%28+7+%29%2Ahighlight_red%28+81+%29%2B41.1428571428571\".
Multiplied numerator integers
It becomes \"559-highlight_green%28+567+%29%2B41.1428571428571\".
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Look at \"highlight_red%28+559+%29-highlight_red%28+567+%29%2B41.1428571428571\".
Added fractions or integers together
It becomes \"highlight_green%28+-8+%29%2B41.1428571428571\".
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Look at \"highlight_red%28+-8+%29%2B41.1428571428571\".
Removed extra sign in front of \"-8\"
It becomes \"-highlight_green%28+8+%29%2B41.1428571428571\".
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Look at \"-highlight_red%28+8+%29%2Bhighlight_red%28+41.1428571428571+%29\".
Replace constants in expression: \"highlight_red%28+-8+%29\",\"highlight_red%28+41.1428571428571+%29\" with \"highlight_green%28+33.1428571428571+%29\"
It becomes \"highlight_green%28+33.1428571428571+%29\".
Result: \"33.1428571428571\"
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Universal Simplifier and Solver

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Done!
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