Solution - Power equations

Step  1  :

 1.1     232 = 23•29

(232)³ = (2³•29)³ = 2⁹ • 29³

Equation at the end of step  1  :

Step  2  :

 2.1     232 = 23•29

(232)² = (2³•29)² = 2⁶ • 29²

Equation at the end of step  2  :

Step  3  :

            (26•292)
 Simplify   ————————
            (29•293)

Dividing exponents :

 3.1    2⁶   divided by   2⁹   = 2^{(6 - 9)} = 2^(-3) = ¹/_2³

Dividing exponents :

 3.2    29²   divided by   29³   = 29^{(2 - 3)} = 29^(-1) = ¹/_29¹ = ¹/₂₉

Final result :

   1            
  ——— = 0.00431 
  232