SOLUTION: I am having a hard time with this question, divide m^2 n^3 mp ------- by ------ p^3 n^2 I think the answer is m^3 ------- np^2

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Question 6290: I am having a hard time with this question, divide
m^2 n^3 mp
------- by ------
p^3 n^2

I think the answer is
m^3
-------
np^2
Am I right, Can somone let me know?
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: %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) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

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 .
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 .
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.
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.
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.
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.
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.
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.
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
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.
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.
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.
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

Universal Simplifier and Solver


Done!