Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

  (2 • (1010)) • (3 • (23•53))

Step  2  :

Equation at the end of step  2  :

  (2 • (1010)) • (3•23•53)

Step  3  :

 3.1     10 = 2•5

(10)¹⁰ = (2•5)¹⁰ = 2¹⁰ • 5¹⁰

Equation at the end of step  3  :

  (2 • (210•510)) • (3•23•53)

Step  4  :

Multiplying exponents :

 4.1    2¹  multiplied by  2¹⁰   = 2^{(1 + 10)} = 2¹¹

Equation at the end of step  4  :

  (211•510) • (3•23•53)

Step  5  :

Multiplying exponents :

 5.1    2¹¹  multiplied by  2³   = 2^{(11 + 3)} = 2¹⁴

Multiplying exponents :

 5.2    5¹⁰  multiplied by  5³   = 5^{(10 + 3)} = 5¹³

Final result :

  (214•513•3)