SOLUTION: Simplify (-2*x^3)^2 * x * (3*x^-2)

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Question 282259: Simplify (-2*x^3)^2 * x * (3*x^-2)
Answer by Deina(147)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
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YOUR ANSWER


  • Graphical form: simplifies to
  • Text form: (-2*x^3)^2*x*(3*x^-2) simplifies to 12*x^5
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (-2*x^3)^2*x*(3*x^-2) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at .
Remove unneeded parentheses around factor highlight_red%28+3+%29,highlight_red%28+x%5E-2+%29
It becomes .

Look at .
Reduce similar several occurrences of highlight_red%28+x+%29 to highlight_green%28+x%5E%281%2B-2%29+%29
It becomes .

Look at .
Removed extra sign in front of -2
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -1
It becomes .

Look at .
Negative power changes multiplication to division
It becomes .

Look at .
Removing power of one highlight_red%28+1+%29

Look at .
Canceled out common factors (x-(0))

Look at .
Remove unneeded parentheses around factor highlight_red%28+4+%29,highlight_red%28+x%5E5+%29
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+1%2F1+%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!


So
(-2*x^3)^2*x*(3*x^-2) simplifies to 12*x^5 and bob's your uncle!

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