Solution - Power equations

Step  1  :

 1.1     9 = 32

(9)²⁴ = (3²)²⁴ = 3⁴⁸

Equation at the end of step  1  :

Step  2  :

 2.1     9 = 32

(9)⁴ = (3²)⁴ = 3⁸

Equation at the end of step  2  :

Step  3  :

             38
 Simplify   ———
            348

Dividing exponents :

 3.1    3⁸   divided by   3⁴⁸   = 3^{(8 - 48)} = 3^(-40) = ¹/_3⁴⁰

Final result :

   1                                    
  ——— = 8.22526 • 10-20 
  340