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  :

  (3 • (103)) • (2 • (22•52))

Step  2  :

Raising to a Power :

 2.1    2¹  multiplied by  2²   = 2^{(1 + 2)} = 2³

Equation at the end of step  2  :

  (3 • (103)) • (23•52)

Step  3  :

 3.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  3  :

  (3 • (23•53)) • (23•52)

Step  4  :

Equation at the end of step  4  :

  (3•23•53) • (23•52)

Step  5  :

Multiplying exponents :

 5.1    2³  multiplied by  2³   = 2^{(3 + 3)} = 2⁶

Multiplying exponents :

 5.2    5³  multiplied by  5²   = 5^{(3 + 2)} = 5⁵

Final result :

  (3•26•55)