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  :

  (5 • (104)) • (3 • (26•56))

Step  2  :

Equation at the end of step  2  :

  (5 • (104)) • (3•26•56)

Step  3  :

 3.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  3  :

  (5 • (24•54)) • (3•26•56)

Step  4  :

Multiplying exponents :

 4.1    5¹  multiplied by  5⁴   = 5^{(1 + 4)} = 5⁵

Equation at the end of step  4  :

  (55•24) • (3•26•56)

Step  5  :

Multiplying exponents :

 5.1    5⁵  multiplied by  5⁶   = 5^{(5 + 6)} = 5¹¹

Multiplying exponents :

 5.2    2⁴  multiplied by  2⁶   = 2^{(4 + 6)} = 2¹⁰

Final result :

  (511•210•3)