Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

  2 • (10(2^2•5^2))

Step  2  :

 2.1     10 = 2•5

(10)¹⁰⁰ = (2•5)¹⁰⁰ = 2¹⁰⁰ • 5¹⁰⁰

Equation at the end of step  2  :

  2 • (2100•5100)

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2¹⁰⁰   = 2^{(1 + 100)} = 2¹⁰¹

Final result :

  (2101•5100)