Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  1  :

  (107) • (28•58)

Step  2  :

 2.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  2  :

  (27•57) • (28•58)

Step  3  :

Multiplying exponents :

 3.1    2⁷  multiplied by  2⁸   = 2^{(7 + 8)} = 2¹⁵

Multiplying exponents :

 3.2    5⁷  multiplied by  5⁸   = 5^{(7 + 8)} = 5¹⁵

Final result :

  (215•515)