Solution - Power equations

Step  1  :

 1.1     10 = 2•5

(10)¹² = (2•5)¹² = 2¹² • 5¹²

Equation at the end of step  1  :

            (518)  
  (212) • —————————
          (212•512)

Step  2  :

Equation at the end of step  2  :

             518   
  (212) • —————————
          (212•512)

Step  3  :

               518   
 Simplify   —————————
            (212•512)

Dividing exponents :

 3.1    5¹⁸   divided by   5¹²   = 5^{(18 - 12)} = 5⁶

Equation at the end of step  3  :

           56 
  (212) • ————
          4096

Step  4  :

Equation at the end of step  4  :

         56 
  212 • ————
        4096

Step  5  :

Canceling Out :

 5.1      Canceling out  2¹² as it appears on both sides of the fraction line

Final result :

  56