Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-12" was replaced by "^(-12)". 1 more similar replacement(s)

(2): "3.67" was replaced by "(367/100)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)^-12 = (2•5)^(-12) = (2)^(-12) • (5)^(-12)

Equation at the end of step  1  :

    45          367
  ((——•(10-12))•———)•((2)(-12)•(5)(-12))
    10          100

Step  2  :

            367
 Simplify   ———
            100

Equation at the end of step  2  :

    45              367
  ((—— • (10-12)) • ———) • ((2)(-12)•(5)(-12))
    10              100

Step  3  :

 3.1     10 = 2•5

(10)^-12 = (2•5)^(-12) = (2)^(-12) • (5)^(-12)

Equation at the end of step  3  :

    45                          367
  ((—— • ((2)(-12)•(5)(-12))) • ———) • ((2)(-12)•(5)(-12))
    10                          100

Step  4  :

            9
 Simplify   —
            2

Equation at the end of step  4  :

    9                          367
  ((— • ((2)(-12)•(5)(-12))) • ———) • ((2)(-12)•(5)(-12))
    2                          100

Step  5  :

Multiplying exponents :

 5.1    2¹  multiplied by  2¹²   = 2^{(1 + 12)} = 2¹³

Equation at the end of step  5  :

       9       367
  (————————— • ———) • ((2)(-12)•(5)(-12))
   (213•512)    100

Step  6  :

Multiplying exponents :

 6.1    2¹³  multiplied by  2²   = 2^{(13 + 2)} = 2¹⁵

Multiplying exponents :

 6.2    5¹²  multiplied by  5²   = 5^{(12 + 2)} = 5¹⁴

Equation at the end of step  6  :

     3303  
  ————————— • ((2)(-12)•(5)(-12))
  (215•514) 

Step  7  :

Multiplying exponents :

 7.1    2¹⁵  multiplied by  2¹²   = 2^{(15 + 12)} = 2²⁷

Multiplying exponents :

 7.2    5¹⁴  multiplied by  5¹²   = 5^{(14 + 12)} = 5²⁶

Final result :

     3303                                     
  ————————— = 1.65150 • 10-23 
  (227•526)