Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

  (7 • (105)) • (3 • (22•52))

Step  2  :

Equation at the end of step  2  :

  (7 • (105)) • (3•22•52)

Step  3  :

 3.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  3  :

  (7 • (25•55)) • (3•22•52)

Step  4  :

Equation at the end of step  4  :

  (7•25•55) • (3•22•52)

Step  5  :

Multiplying exponents :

 5.1    2⁵  multiplied by  2²   = 2^{(5 + 2)} = 2⁷

Multiplying exponents :

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

Final result :

  (7•27•57•3)