Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

  (4 • (107)) • (4 • (23•53))

Step  2  :

Raising to a Power :

 2.1    2²  multiplied by  2³   = 2^{(2 + 3)} = 2⁵

Equation at the end of step  2  :

  (4 • (107)) • (25•53)

Step  3  :

 3.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  3  :

  (4 • (27•57)) • (25•53)

Step  4  :

Multiplying exponents :

 4.1    2²  multiplied by  2⁷   = 2^{(2 + 7)} = 2⁹

Equation at the end of step  4  :

  (29•57) • (25•53)

Step  5  :

Multiplying exponents :

 5.1    2⁹  multiplied by  2⁵   = 2^{(9 + 5)} = 2¹⁴

Multiplying exponents :

 5.2    5⁷  multiplied by  5³   = 5^{(7 + 3)} = 5¹⁰

Final result :

  (214•510)