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  :

  (103) • (22•52)

Step  2  :

 2.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  2  :

  (23•53) • (22•52)

Step  3  :

Multiplying exponents :

 3.1    2³  multiplied by  2²   = 2^{(3 + 2)} = 2⁵

Multiplying exponents :

 3.2    5³  multiplied by  5²   = 5^{(3 + 2)} = 5⁵

Final result :

  (25•55)