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  :

  (4 • (108)) • (1 • (26•56))

Step  2  :

 2.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  2  :

  (4 • (28•58)) • (26•56)

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2⁸   = 2^{(2 + 8)} = 2¹⁰

Equation at the end of step  3  :

  (210•58) • (26•56)

Step  4  :

Multiplying exponents :

 4.1    2¹⁰  multiplied by  2⁶   = 2^{(10 + 6)} = 2¹⁶

Multiplying exponents :

 4.2    5⁸  multiplied by  5⁶   = 5^{(8 + 6)} = 5¹⁴

Final result :

  (216•514)