Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-7" was replaced by "^(-7)".

Step  1  :

 1.1     10 = 2•5

(10)^-7 = (2•5)^(-7) = (2)^(-7) • (5)^(-7)

Equation at the end of step  1  :

Step  2  :

 2.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  2  :

Step  3  :

                         1   
 Divide  (23•53)  by  ———————
                      (27•57)

Multiplying exponents :

 3.1    2³  multiplied by  2⁷   = 2^{(3 + 7)} = 2¹⁰

Multiplying exponents :

 3.2    5³  multiplied by  5⁷   = 5^{(3 + 7)} = 5¹⁰

Final result :

  (210•510)