Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)". 1 more similar replacement(s)

(2): "4.2" was replaced by "(42/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   42
  (—— • ((2)(-5)•(5)(-5)))-2
   10

Step  2  :

            21
 Simplify   ——
            5 

Equation at the end of step  2  :

   21
  (—— • ((2)(-5)•(5)(-5)))-2
   5 

Step  3  :

Raising to a Power :

 3.1    5¹  multiplied by  5⁵   = 5^{(1 + 5)} = 5⁶

Equation at the end of step  3  :

     21  
 (———————)-2
  (56•25)

Step  4  :

 4.1     21 = 3•7

(21)^-2 = (3•7)^(-2) = (3)^(-2) • (7)^(-2)

Final result :

  1 • (512•210)
  —————————————
   1 • (32•72)