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  :

  (6 • (103)) • (9 • (24•54))

Step  2  :

Equation at the end of step  2  :

  (6 • (103)) • (32•24•54)

Step  3  :

 3.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  3  :

  (6 • (23•53)) • (32•24•54)

Step  4  :

Multiplying exponents :

 4.1    2¹  multiplied by  2³   = 2^{(1 + 3)} = 2⁴

Equation at the end of step  4  :

  (24•3•53) • (32•24•54)

Step  5  :

Multiplying exponents :

 5.1    2⁴  multiplied by  2⁴   = 2^{(4 + 4)} = 2⁸

Multiplying exponents :

 5.2    3¹  multiplied by  3²   = 3^{(1 + 2)} = 3³

Multiplying exponents :

 5.3    5³  multiplied by  5⁴   = 5^{(3 + 4)} = 5⁷

Final result :

  (28•33•57)