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  :

  (5 • (104)) • (6 • (27•57))

Step  2  :

Raising to a Power :

 2.1    2¹  multiplied by  2⁷   = 2^{(1 + 7)} = 2⁸

Equation at the end of step  2  :

  (5 • (104)) • (28•3•57)

Step  3  :

 3.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  3  :

  (5 • (24•54)) • (28•3•57)

Step  4  :

Multiplying exponents :

 4.1    5¹  multiplied by  5⁴   = 5^{(1 + 4)} = 5⁵

Equation at the end of step  4  :

  (55•24) • (28•3•57)

Step  5  :

Multiplying exponents :

 5.1    5⁵  multiplied by  5⁷   = 5^{(5 + 7)} = 5¹²

Multiplying exponents :

 5.2    2⁴  multiplied by  2⁸   = 2^{(4 + 8)} = 2¹²

Final result :

  (512•212•3)