Solution - Power equations

Step  1  :

 1.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  1  :

Step  2  :

            (28•58)
 Simplify   ———————
              550  

Dividing exponents :

 2.1    2⁸   divided by   2¹   = 2^{(8 - 1)} = 2⁷

Dividing exponents :

 2.2    5⁸   divided by   5²   = 5^{(8 - 2)} = 5⁶

Final result :

  (27•56)                                 
  ——————— = 1.81818 • 105 
    11