SOLUTION: Simplify. Write your answer with only positive exponents. r^5/r^20

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify. Write your answer with only positive exponents. r^5/r^20      Log On


   



Question 104751: Simplify. Write your answer with only positive exponents.
r^5/r^20

Answer by duggie(26) About Me  (Show Source):
You can put this solution on YOUR website!
Little confused on what your asking.
is that r^5 divided by r^20? If So
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: r%5E5%2Fr%5E20 simplifies to 1%2Fr%5E15
  • Text form: r^5/r^20 simplifies to 1/r^15
  • Cartoon (animation) form: simplify_cartoon%28+r%5E5%2Fr%5E20+%29
    For tutors: simplify_cartoon( r^5/r^20 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at highlight_red%28+r%5E5+%29%2Fhighlight_red%28+r%5E20+%29.
Reduce similar several occurrences of highlight_red%28+r%5E5+%29 to highlight_green%28+r%5E%285-20%29+%29
It becomes highlight_green%28+r%5E%285-20%29+%29.

Look at r%5E%28highlight_red%28+5+%29-highlight_red%28+20+%29%29.
Added fractions or integers together
It becomes r%5E%28highlight_green%28+-15+%29%29.

Look at r%5E%28highlight_red%28+-15+%29%29.
Removed extra sign in front of -15
It becomes r%5E%28-highlight_green%28+15+%29%29.

Look at highlight_red%28+r%5E%28-15%29+%29.
Negative power changes multiplication to division
It becomes 1%2Fhighlight_green%28+r%5E15+%29.
Result: 1%2Fr%5E15

Universal Simplifier and Solver


Done!