Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  1  :

  100 • (29•59)

Step  2  :

Multiplying exponents :

 2.1    2²  multiplied by  2⁹   = 2^{(2 + 9)} = 2¹¹

Multiplying exponents :

 2.2    5²  multiplied by  5⁹   = 5^{(2 + 9)} = 5¹¹

Final result :

  (211•511)