# SOLUTION: Please I need help with this problem, please show work. 7q^-4•q^5r^-5÷-14q^-5r^-6

Algebra ->  Algebra  -> Finance -> SOLUTION: Please I need help with this problem, please show work. 7q^-4•q^5r^-5÷-14q^-5r^-6      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra in Finance Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Finance Question 323559: Please I need help with this problem, please show work. 7q^-4•q^5r^-5÷-14q^-5r^-6Answer by jessica43(140)   (Show Source): You can put this solution on YOUR website!To solve this problem you are going to use two of the basic rules of exponents: 1. Whenever you multiply two terms with the same base, you can add the exponents: (x^m)*(x^n) = x^(m + n) 2. Whenever you divide two terms with the same base, you can subtract the exponents: (x^m)/(x^n) = x^(m-n) Now we will use these rules to solve this problem: (7(q^-4)(q^5)(r^-5))/((-14)(q^-5)(r^-6)) =(7(q^1)(r^-5))/((-14)(q^-5)(r^-6)) (rule 1: (q^-4)*(q^5)= q^(-4+5) = q^1) =(7(q^6)(r^-5))/((-14)(r^-6)) (rule 2: (q^1)/(q^-5)= q^(1-(-5)= q^6) =(7(q^6)(r^1))/(-14) (rule 2: (r^-5)/(r^-6) = r^(-5-(-6)) = r^1) =((q^6)(r^1))/(-2) (simplified: -7/14 = -1/2) So your simplified answer is: -(((q^6)(r))/2) Hope this helps!