Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-4" was replaced by "^(-4))". 1 more similar replacement(s)

(2): ".43" was replaced by "(43/100)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)^-4 = (2•5)^(-4) = (2)^(-4) • (5)^(-4)

Equation at the end of step  1  :

    594           43
  ((———•(10-64))•———)•((2)(-4)•(5)(-4))
    100          100

Step  2  :

             43
 Simplify   ———
            100

Equation at the end of step  2  :

    594               43
  ((——— • (10-64)) • ———) • ((2)(-4)•(5)(-4))
    100              100

Step  3  :

 3.1     10 = 2•5

(10)^-64 = (2•5)^(-64) = (2)^(-64) • (5)^(-64)

Equation at the end of step  3  :

    594                           43
  ((——— • ((2)(-64)•(5)(-64))) • ———) • ((2)(-4)•(5)(-4))
    100                          100

Step  4  :

            297
 Simplify   ———
            50 

Equation at the end of step  4  :

    297                           43
  ((——— • ((2)(-64)•(5)(-64))) • ———) • ((2)(-4)•(5)(-4))
    50                           100

Step  5  :

Multiplying exponents :

 5.1    2¹  multiplied by  2⁶⁴   = 2^{(1 + 64)} = 2⁶⁵

Multiplying exponents :

 5.2    5²  multiplied by  5⁶⁴   = 5^{(2 + 64)} = 5⁶⁶

Equation at the end of step  5  :

      297       43
  (————————— • ———) • ((2)(-4)•(5)(-4))
   (265•566)    100

Step  6  :

Multiplying exponents :

 6.1    2⁶⁵  multiplied by  2²   = 2^{(65 + 2)} = 2⁶⁷

Multiplying exponents :

 6.2    5⁶⁶  multiplied by  5²   = 5^{(66 + 2)} = 5⁶⁸

Equation at the end of step  6  :

  (33•11•43)
  —————————— • ((2)(-4)•(5)(-4))
  (267•568)  

Step  7  :

Multiplying exponents :

 7.1    2⁶⁷  multiplied by  2⁴   = 2^{(67 + 4)} = 2⁷¹

Multiplying exponents :

 7.2    5⁶⁸  multiplied by  5⁴   = 5^{(68 + 4)} = 5⁷²

Final result :

  (33•11•43)                                   
  —————————— = 2.55420 • 10-68 
  (271•572)