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 • (105)) • (4 • (26•56))

Step  2  :

Raising to a Power :

 2.1    2²  multiplied by  2⁶   = 2^{(2 + 6)} = 2⁸

Equation at the end of step  2  :

  (5 • (105)) • (28•56)

Step  3  :

 3.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  3  :

  (5 • (25•55)) • (28•56)

Step  4  :

Multiplying exponents :

 4.1    5¹  multiplied by  5⁵   = 5^{(1 + 5)} = 5⁶

Equation at the end of step  4  :

  (56•25) • (28•56)

Step  5  :

Multiplying exponents :

 5.1    5⁶  multiplied by  5⁶   = 5^{(6 + 6)} = 5¹²

Multiplying exponents :

 5.2    2⁵  multiplied by  2⁸   = 2^{(5 + 8)} = 2¹³

Final result :

  (512•213)