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  :

 2.1     10 = 2•5

(10)²⁰ = (2•5)²⁰ = 2²⁰ • 5²⁰

Equation at the end of step  2  :

Step  3  :

            (220•520)
 Simplify   —————————
             (28•58) 

Dividing exponents :

 3.1    2²⁰   divided by   2⁸   = 2^{(20 - 8)} = 2¹²

Dividing exponents :

 3.2    5²⁰   divided by   5⁸   = 5^{(20 - 8)} = 5¹²

Final result :

  (212•512)