Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  1  :

  (5 • (1059)) • (24•54)

Step  2  :

 2.1     10 = 2•5

(10)⁵⁹ = (2•5)⁵⁹ = 2⁵⁹ • 5⁵⁹

Equation at the end of step  2  :

  (5 • (259•559)) • (24•54)

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5⁵⁹   = 5^{(1 + 59)} = 5⁶⁰

Equation at the end of step  3  :

  (560•259) • (24•54)

Step  4  :

Multiplying exponents :

 4.1    5⁶⁰  multiplied by  5⁴   = 5^{(60 + 4)} = 5⁶⁴

Multiplying exponents :

 4.2    2⁵⁹  multiplied by  2⁴   = 2^{(59 + 4)} = 2⁶³

Final result :

  (564•263)