SOLUTION: {{{6^3-7*3^4-2^5*9 / (1-2^3)+7^3}}}

Algebra ->  Equations -> SOLUTION: {{{6^3-7*3^4-2^5*9 / (1-2^3)+7^3}}}       Log On


   

Question 213527: 6%5E3-7%2A3%5E4-2%5E5%2A9+%2F+%281-2%5E3%29%2B7%5E3





Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • 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 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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

Universal Simplifier and Solver


Done!