SOLUTION: The directions say, "Simplify each expression." How do you solve the problem r^3t^-7/t^5 I tried dividing the "t"s first. (I though you have to do like terms.) Thanks!

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: The directions say, "Simplify each expression." How do you solve the problem r^3t^-7/t^5 I tried dividing the "t"s first. (I though you have to do like terms.) Thanks!      Log On


   

Question 104734: The directions say, "Simplify each expression." How do you solve the problem r^3t^-7/t^5
I tried dividing the "t"s first. (I though you have to do like terms.) Thanks!
Answer by duggie(26) 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: r%5E3t%5E-7%2Ft%5E5 simplifies to r%5E3%2Ft%5E12
  • Text form: r^3t^-7/t^5 simplifies to r^3/t^12
  • Cartoon (animation) form: simplify_cartoon%28+r%5E3t%5E-7%2Ft%5E5+%29
    For tutors: simplify_cartoon( r^3t^-7/t^5 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at r%5E3%2Ahighlight_red%28+t%5E-7+%29%2Fhighlight_red%28+t%5E5+%29.
Reduce similar several occurrences of highlight_red%28+t%5E-7+%29 to highlight_green%28+t%5E%28-7-5%29+%29
It becomes r%5E3%2Ahighlight_green%28+t%5E%28-7-5%29+%29.
Look at r%5E3%2At%5E%28highlight_red%28+-7+%29-5%29.
Removed extra sign in front of -7
It becomes r%5E3%2At%5E%28-highlight_green%28+7+%29-5%29.
Look at r%5E3%2At%5E%28-highlight_red%28+7+%29-highlight_red%28+5+%29%29.
Added fractions or integers together
It becomes r%5E3%2At%5E%28highlight_green%28+-12+%29%29.
Look at r%5E3%2At%5E%28highlight_red%28+-12+%29%29.
Removed extra sign in front of -12
It becomes r%5E3%2At%5E%28-highlight_green%28+12+%29%29.
Look at r%5E3%2Ahighlight_red%28+t%5E%28-12%29+%29.
Negative power changes multiplication to division
It becomes r%5E3%2Fhighlight_green%28+t%5E12+%29.
Result: r%5E3%2Ft%5E12

Universal Simplifier and Solver


Done!