Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  1  :

  (3 • (107)) • (9 • (26•56))

Step  2  :

Equation at the end of step  2  :

  (3 • (107)) • (32•26•56)

Step  3  :

 3.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  3  :

  (3 • (27•57)) • (32•26•56)

Step  4  :

Equation at the end of step  4  :

  (3•27•57) • (32•26•56)

Step  5  :

Multiplying exponents :

 5.1    3¹  multiplied by  3²   = 3^{(1 + 2)} = 3³

Multiplying exponents :

 5.2    2⁷  multiplied by  2⁶   = 2^{(7 + 6)} = 2¹³

Multiplying exponents :

 5.3    5⁷  multiplied by  5⁶   = 5^{(7 + 6)} = 5¹³

Final result :

  (33•213•513)