Solution - Power equations

Step  1  :

 1.1     4 = 22

(4)² = (2²)² = 2⁴

Equation at the end of step  1  :

   1
  {—}3 • 24
   4

Step  2  :

            1
 Simplify   —
            4

Equation at the end of step  2  :

   1
  (—)3) • 24
   4

Step  3  :

 3.1     4 = 2² (4)³ = (2²)³ = 2⁶

Equation at the end of step  3  :

   1
  —— • 24
  26

Step  4  :

Dividing exponents :

 4.1    2⁴   divided by   2⁶   = 2^{(4 - 6)} = 2^(-2) = ¹/_2²

Final result :

  1           
  — = 0.25000 
  4