Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-5" was replaced by "^(-5)". 1 more similar replacement(s)

(2): "6.1" was replaced by "(61/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

    26         61
  ((——•(10-5))•——)•((2)(-5)•(5)(-5))
    10         10

Step  2  :

            61
 Simplify   ——
            10

Equation at the end of step  2  :

    26             61
  ((—— • (10-5)) • ——) • ((2)(-5)•(5)(-5))
    10             10

Step  3  :

 3.1     10 = 2•5

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

Equation at the end of step  3  :

    26                        61
  ((—— • ((2)(-5)•(5)(-5))) • ——) • ((2)(-5)•(5)(-5))
    10                        10

Step  4  :

            13
 Simplify   ——
            5 

Equation at the end of step  4  :

    13                        61
  ((—— • ((2)(-5)•(5)(-5))) • ——) • ((2)(-5)•(5)(-5))
    5                         10

Step  5  :

Multiplying exponents :

 5.1    5¹  multiplied by  5⁵   = 5^{(1 + 5)} = 5⁶

Equation at the end of step  5  :

      13     61
  (——————— • ——) • ((2)(-5)•(5)(-5))
   (56•25)   10

Step  6  :

Multiplying exponents :

 6.1    5⁶  multiplied by  5¹   = 5^{(6 + 1)} = 5⁷

Multiplying exponents :

 6.2    2⁵  multiplied by  2¹   = 2^{(5 + 1)} = 2⁶

Equation at the end of step  6  :

    793  
  ——————— • ((2)(-5)•(5)(-5))
  (57•26)

Step  7  :

Multiplying exponents :

 7.1    5⁷  multiplied by  5⁵   = 5^{(7 + 5)} = 5¹²

Multiplying exponents :

 7.2    2⁶  multiplied by  2⁵   = 2^{(6 + 5)} = 2¹¹

Final result :

     793                                     
  ————————— = 1.58600 • 10-9 
  (512•211)