Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

  (2 • (104)) • (3 • (22•52))

Step  2  :

Equation at the end of step  2  :

  (2 • (104)) • (3•22•52)

Step  3  :

 3.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  3  :

  (2 • (24•54)) • (3•22•52)

Step  4  :

Multiplying exponents :

 4.1    2¹  multiplied by  2⁴   = 2^{(1 + 4)} = 2⁵

Equation at the end of step  4  :

  (25•54) • (3•22•52)

Step  5  :

Multiplying exponents :

 5.1    2⁵  multiplied by  2²   = 2^{(5 + 2)} = 2⁷

Multiplying exponents :

 5.2    5⁴  multiplied by  5²   = 5^{(4 + 2)} = 5⁶

Final result :

  (27•56•3)