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  :

  (102) • (29•59)

Step  2  :

 2.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  2  :

  (22•52) • (29•59)

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2⁹   = 2^{(2 + 9)} = 2¹¹

Multiplying exponents :

 3.2    5²  multiplied by  5⁹   = 5^{(2 + 9)} = 5¹¹

Final result :

  (211•511)