Solution - Power equations

Step  1  :

 1.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  1  :

       (106)
  (3 • —————) • (29•59)
         6  

Step  2  :

 2.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  2  :

       (26•56)
  (3 • ———————) • (29•59)
          6   

Step  3  :

            (26•56)
 Simplify   ———————
               6   

Dividing exponents :

 3.1    2⁶   divided by   2¹   = 2^{(6 - 1)} = 2⁵

Equation at the end of step  3  :

       (25•56)
  (3 • ———————) • (29•59)
          3   

Step  4  :

Final result :

  (29•59)