Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  1  :

  (2 • (104)) • (4 • (27•57))

Step  2  :

Raising to a Power :

 2.1    2²  multiplied by  2⁷   = 2^{(2 + 7)} = 2⁹

Equation at the end of step  2  :

  (2 • (104)) • (29•57)

Step  3  :

 3.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  3  :

  (2 • (24•54)) • (29•57)

Step  4  :

Multiplying exponents :

 4.1    2¹  multiplied by  2⁴   = 2^{(1 + 4)} = 2⁵

Equation at the end of step  4  :

  (25•54) • (29•57)

Step  5  :

Multiplying exponents :

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

Multiplying exponents :

 5.2    5⁴  multiplied by  5⁷   = 5^{(4 + 7)} = 5¹¹

Final result :

  (214•511)