Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)¹⁰ = (2•5)¹⁰ = 2¹⁰ • 5¹⁰

Equation at the end of step  1  :

  ((1025) • (1019)) • (210•510)

Step  2  :

 2.1     10 = 2•5

(10)¹⁹ = (2•5)¹⁹ = 2¹⁹ • 5¹⁹

Equation at the end of step  2  :

  ((1025) • (219•519)) • (210•510)

Step  3  :

 3.1     10 = 2•5

(10)²⁵ = (2•5)²⁵ = 2²⁵ • 5²⁵

Equation at the end of step  3  :

  ((225•525) • (219•519)) • (210•510)
 Step  4  :

Multiplying exponents :

 4.1    2⁴⁴  multiplied by  2¹⁰   = 2^{(44 + 10)} = 2⁵⁴

Multiplying exponents :

 4.2    5⁴⁴  multiplied by  5¹⁰   = 5^{(44 + 10)} = 5⁵⁴

Final result :

  (254•554)