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  :

  ((3 • (109)) • 2) • (29•59)

Step  2  :

 2.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  2  :

  ((3 • (29•59)) • 2) • (29•59)

Step  3  :

Equation at the end of step  3  :

  ((3•29•59) • 2) • (29•59)

Step  4  :

Multiplying exponents :

 4.1    2⁹  multiplied by  2¹   = 2^{(9 + 1)} = 2¹⁰

Equation at the end of step  4  :

  (3•210•59) • (29•59)

Step  5  :

Multiplying exponents :

 5.1    2¹⁰  multiplied by  2⁹   = 2^{(10 + 9)} = 2¹⁹

Multiplying exponents :

 5.2    5⁹  multiplied by  5⁹   = 5^{(9 + 9)} = 5¹⁸

Final result :

  (3•219•518)