Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

  (8 • (25•55)) • 4

Step  2  :

Multiplying exponents :

 2.1    2³  multiplied by  2⁵   = 2^{(3 + 5)} = 2⁸

Equation at the end of step  2  :

  (28•55) • 4

Step  3  :

Multiplying exponents :

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

Final result :

  (210•55)