SOLUTION: Pls assist in solving:{{{ 16x^(-3) = 2x^(-6) }}}

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Question 944238: Pls assist in solving:
Found 2 solutions by harpazo, Edwin McCravy:
Answer by harpazo(655)   (Show Source): You can put this solution on YOUR website!

 .
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
The other tutor's answer above is incorrect.  The other tutor gave the
solution for .  The 2 and the 16 are not in
parentheses so they are not raised to those negative powers.  Only x is
raised to those negative powers in your equation.

-----------------------------------------------------------



Divide both sides by 2



Write the factors with negative exponents as denominator
factors with positive exponents:



Cross-multiply:



Get 0 on the right sides:



Factor out x³



,  

,    

0 is not a solution because 0 may only be raised to 
positive powers, and the original has negative powers.
The second equation requires the factorization of the
difference of two cubes:


              

              

                 

                   
             
                  

                             

                             

                             

                             

                             

                             

                             

So there are three solutions , ,   


Edwin
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