Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)¹² = (2•5)¹² = 2¹² • 5¹²

Equation at the end of step  1  :

  (105) • (212•512)

Step  2  :

 2.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  2  :

  (25•55) • (212•512)

Step  3  :

Multiplying exponents :

 3.1    2⁵  multiplied by  2¹²   = 2^{(5 + 12)} = 2¹⁷

Multiplying exponents :

 3.2    5⁵  multiplied by  5¹²   = 5^{(5 + 12)} = 5¹⁷

Final result :

  (217•517)