Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)⁷⁵ = (2•5)⁷⁵ = 2⁷⁵ • 5⁷⁵

Equation at the end of step  1  :

  (109) • (275•575)

Step  2  :

 2.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  2  :

  (29•59) • (275•575)

Step  3  :

Multiplying exponents :

 3.1    2⁹  multiplied by  2⁷⁵   = 2^{(9 + 75)} = 2⁸⁴

Multiplying exponents :

 3.2    5⁹  multiplied by  5⁷⁵   = 5^{(9 + 75)} = 5⁸⁴

Final result :

  (284•584)