Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

  (2 • (102)) • (4 • (25•55))

Step  2  :

Raising to a Power :

 2.1    2²  multiplied by  2⁵   = 2^{(2 + 5)} = 2⁷

Equation at the end of step  2  :

  (2 • (102)) • (27•55)

Step  3  :

 3.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  3  :

  (2 • (22•52)) • (27•55)

Step  4  :

Multiplying exponents :

 4.1    2¹  multiplied by  2²   = 2^{(1 + 2)} = 2³

Equation at the end of step  4  :

  (23•52) • (27•55)

Step  5  :

Multiplying exponents :

 5.1    2³  multiplied by  2⁷   = 2^{(3 + 7)} = 2¹⁰

Multiplying exponents :

 5.2    5²  multiplied by  5⁵   = 5^{(2 + 5)} = 5⁷

Final result :

  (210•57)