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  :

  (4 • (102)) • (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  :

  (4 • (102)) • (23•52)

Step  3  :

 3.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  3  :

  (4 • (22•52)) • (23•52)

Step  4  :

Multiplying exponents :

 4.1    2²  multiplied by  2²   = 2^{(2 + 2)} = 2⁴

Equation at the end of step  4  :

  (24•52) • (23•52)

Step  5  :

Multiplying exponents :

 5.1    2⁴  multiplied by  2³   = 2^{(4 + 3)} = 2⁷

Multiplying exponents :

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

Final result :

  (27•54)