SOLUTION: I am suppose to reduce 15x^3/6x^-3 Would the answer be 5x^6/2 ?

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Question 520600: I am suppose to reduce
15x^3/6x^-3
Would the answer be 5x^6/2 ?
Found 2 solutions by edjones, Maths68:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
15x^3/6x^-3
=15x^3 / 6/x^3
=15x^3 * x^3/6
=15x^6/6
=5x^6/2
.
Ed

Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, you are right.
Answer is 5x^6/2

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: 15x%5E3%2F6%2Fx%5E-3 simplifies to 5%2Ax%5E%286%29%2F2
  • Text form: 15x^3/6/x^-3 simplifies to 5*x^(6)/2
  • Cartoon (animation) form: simplify_cartoon%28+15x%5E3%2F6%2Fx%5E-3+%29
    For tutors: simplify_cartoon( 15x^3/6/x^-3 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+15+%29%2Ax%5E3%2Fhighlight_red%28+6+%29%2Fx%5E-3.
Factors 15 and 6 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes highlight_green%28+5+%29%2Ax%5E3%2Fhighlight_green%28+2+%29%2Fx%5E-3.
Look at 5%2Ahighlight_red%28+x%5E3+%29%2F2%2Fhighlight_red%28+x%5E-3+%29.
Reduce similar several occurrences of highlight_red%28+x%5E3+%29 to highlight_green%28+x%5E%283--3%29+%29
It becomes 5%2Ahighlight_green%28+x%5E%283--3%29+%29%2F2.
Look at 5%2Ax%5E%283-highlight_red%28+-3+%29%29%2F2.
Removed extra sign in front of 3
It becomes 5%2Ax%5E%283%2Bhighlight_green%28+3+%29%29%2F2.
Look at 5%2Ax%5E%28highlight_red%28+3+%29%2Bhighlight_red%28+3+%29%29%2F2.
Added fractions or integers together
It becomes 5%2Ax%5E%28highlight_green%28+6+%29%29%2F2.
Result: 5%2Ax%5E%286%29%2F2

Universal Simplifier and Solver


Done!