Azookeeper weighed an african elephant to be 9x10^3 pounds and an african lion to be 4x10^2 pounds. how many times greater is the weight of the elephant than the weight of the lion?

 22.5 .  The weight of the elephant is "22.5 times greater" than                              the weight of the lion.

Explanation:


(weight of lion) * (x) = (eight of the elephant)  ;  Solve for "x" .

   → Divide each side of the equation by "(weight of lion)" ;
  to isolate "x" on one side of the equation ; and to solve for "x" ;

    
   → (weight of lion)*(x) / (weight of lion) = (weight of the elephant) /
                                                           (weight of lion) ;

     →  x  = (weight of the elephant) / (weight of lion) ;

     →  Plug in our "given values" ; and solve for "x" ;

     →  x = (9*10³) / (4*10²) =  (9*10⁽³⁻²⁾) / 4  =  (9*10¹) / 4  ;
 
     →  x =  90 /4 = 25/2  = 22.5 ; which is our answer.