Solution - Power equations

Step  1  :

 1.1     64 = 26

(64)⁵ = (2⁶)⁵ = 2³⁰

Equation at the end of step  1  :

    4 
  {——— ÷ 61) ÷ 2
   230

Step  2  :

             4 
 Simplify   ———
            230

Dividing exponents :

 2.1    2²   divided by   2³⁰   = 2^{(2 - 30)} = 2^(-28) = ¹/_2²⁸

Equation at the end of step  2  :

    (1
  {——— ÷ 61) ÷ 2
   228

Step  3  :

          1       
 Divide  ———  by  6
         228      

Multiplying exponents :

 3.1    2²⁸  multiplied by  2¹   = 2^{(28 + 1)} = 2²⁹

Equation at the end of step  3  :

     (1  
 (———————)1) ÷ 2
  (229•3)
 Step  4  :
            1         
 Divide  ———————  by  2
         (229•3)      

Multiplying exponents :

 4.1    2²⁹  multiplied by  2¹   = 2^{(29 + 1)} = 2³⁰

Final result :

     1                                      
  ——————— = 3.10441 • 10-10 
  (230•3)