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  :

  (4 • (108)) • (8 • (27•57))

Step  2  :

Raising to a Power :

 2.1    2³  multiplied by  2⁷   = 2^{(3 + 7)} = 2¹⁰

Equation at the end of step  2  :

  (4 • (108)) • (210•57)

Step  3  :

 3.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  3  :

  (4 • (28•58)) • (210•57)

Step  4  :

Multiplying exponents :

 4.1    2²  multiplied by  2⁸   = 2^{(2 + 8)} = 2¹⁰

Equation at the end of step  4  :

  (210•58) • (210•57)

Step  5  :

Multiplying exponents :

 5.1    2¹⁰  multiplied by  2¹⁰   = 2^{(10 + 10)} = 2²⁰

Multiplying exponents :

 5.2    5⁸  multiplied by  5⁷   = 5^{(8 + 7)} = 5¹⁵

Final result :

  (220•515)