SOLUTION: Find the product or quotient. Write your answer using only positive exponents. 39. 18x^3/3x^-1 Any help with this equation woul be <b>GREATLY</b> appreciated.

Algebra ->  Exponents -> SOLUTION: Find the product or quotient. Write your answer using only positive exponents. 39. 18x^3/3x^-1 Any help with this equation woul be <b>GREATLY</b> appreciated.      Log On


   

Question 108968: Find the product or quotient. Write your answer using only positive exponents.
39. 18x^3/3x^-1
Any help with this equation woul be GREATLY appreciated.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
18x%5E3%2F3x%5E-1 Start with the given expression



When you divide x%5E3 by x%5E-1, simply subtract the exponents -1 from 3 to get 3--1=4
So x%5E3%2Fx%5E-1=x%5E%283--1%29=x%5E4

So 18x%5E3%2F3x%5E-1 becomes 18x%5E4%2F3 (just eliminate every variable in the denominator and replace x%5E3 with x%5E4)


Now reduce the fraction 18%2F3 to get 6%2F1 or just 6


So our final simplification is


6x%5E4