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): ".22" was replaced by "(22/100)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

    39           22
  ((——•(10-42))•———)•((2)(-2)•(5)(-2))
    10          100

Step  2  :

            11
 Simplify   ——
            50

Equation at the end of step  2  :

    39              11
  ((—— • (10-42)) • ——) • ((2)(-2)•(5)(-2))
    10              50

Step  3  :

 3.1     10 = 2•5

(10)^-42 = (2•5)^(-42) = (2)^(-42) • (5)^(-42)

Equation at the end of step  3  :

    39                          11
  ((—— • ((2)(-42)•(5)(-42))) • ——) • ((2)(-2)•(5)(-2))
    10                          50

Step  4  :

            39
 Simplify   ——
            10

Equation at the end of step  4  :

    39                          11
  ((—— • ((2)(-42)•(5)(-42))) • ——) • ((2)(-2)•(5)(-2))
    10                          50

Step  5  :

Multiplying exponents :

 5.1    2¹  multiplied by  2⁴²   = 2^{(1 + 42)} = 2⁴³

Multiplying exponents :

 5.2    5¹  multiplied by  5⁴²   = 5^{(1 + 42)} = 5⁴³

Equation at the end of step  5  :

       39      11
  (————————— • ——) • ((2)(-2)•(5)(-2))
   (243•543)    50

Step  6  :

Multiplying exponents :

 6.1    2⁴³  multiplied by  2¹   = 2^{(43 + 1)} = 2⁴⁴

Multiplying exponents :

 6.2    5⁴³  multiplied by  5²   = 5^{(43 + 2)} = 5⁴⁵

Equation at the end of step  6  :

     429   
  ————————— • ((2)(-2)•(5)(-2))
  (244•545) 

Step  7  :

Multiplying exponents :

 7.1    2⁴⁴  multiplied by  2²   = 2^{(44 + 2)} = 2⁴⁶

Multiplying exponents :

 7.2    5⁴⁵  multiplied by  5²   = 5^{(45 + 2)} = 5⁴⁷

Final result :

     429                                      
  ————————— = 8.58000 • 10-45 
  (246•547)