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  :

  ((2 • (103)) • 3) • (24•54)

Step  2  :

 2.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  2  :

  ((2 • (23•53)) • 3) • (24•54)

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2³   = 2^{(1 + 3)} = 2⁴

Equation at the end of step  3  :

  ((24•53) • 3) • (24•54)

Step  4  :

Equation at the end of step  4  :

  (24•53•3) • (24•54)

Step  5  :

Multiplying exponents :

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

Multiplying exponents :

 5.2    5³  multiplied by  5⁴   = 5^{(3 + 4)} = 5⁷

Final result :

  (28•57•3)