Solution - Power equations

Step  1  :

Equation at the end of step  1  :

Step  2  :

 2.1     77 = 7•11

(77)⁷ = (7•11)⁷ = 7⁷ • 11⁷

Equation at the end of step  2  :

Step  3  :

            (77•117)
 Simplify   ————————
              777   

Dividing exponents :

 3.1    7⁷   divided by   7⁷⁷   = 7^{(7 - 77)} = 7^(-70) = ¹/_7⁷⁰

Final result :

  117                                   
  ——— = 1.35796 • 10-52 
  770