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 • (104)) • (2 • (29•59))

Step  2  :

Raising to a Power :

 2.1    2¹  multiplied by  2⁹   = 2^{(1 + 9)} = 2¹⁰

Equation at the end of step  2  :

  (3 • (104)) • (210•59)

Step  3  :

 3.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  3  :

  (3 • (24•54)) • (210•59)

Step  4  :

Equation at the end of step  4  :

  (3•24•54) • (210•59)

Step  5  :

Multiplying exponents :

 5.1    2⁴  multiplied by  2¹⁰   = 2^{(4 + 10)} = 2¹⁴

Multiplying exponents :

 5.2    5⁴  multiplied by  5⁹   = 5^{(4 + 9)} = 5¹³

Final result :

  (3•214•513)