Solution - Power equations

Step  1  :

 1.1     4 = 22

(4)⁵ = (2²)⁵ = 2¹⁰

Equation at the end of step  1  :

Step  2  :

 2.1     4 = 22

(4)³ = (2²)³ = 2⁶

Equation at the end of step  2  :

Step  3  :

             26
 Simplify   ———
            210

Dividing exponents :

 3.1    2⁶   divided by   2¹⁰   = 2^{(6 - 10)} = 2^(-4) = ¹/_2⁴

Final result :

   1           
  —— = 0.06250 
  16