Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-18" was replaced by "^(-18)". 1 more similar replacement(s)

(2): "7.8" was replaced by "(78/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)^-18 = (2•5)^(-18) = (2)^(-18) • (5)^(-18)

Equation at the end of step  1  :

    651          78
  ((———•(10-11))•——)•((2)(-18)•(5)(-18))
    100          10

Step  2  :

            39
 Simplify   ——
            5 

Equation at the end of step  2  :

    651              39
  ((——— • (10-11)) • ——) • ((2)(-18)•(5)(-18))
    100              5 

Step  3  :

 3.1     10 = 2•5

(10)^-11 = (2•5)^(-11) = (2)^(-11) • (5)^(-11)

Equation at the end of step  3  :

    651                          39
  ((——— • ((2)(-11)•(5)(-11))) • ——) • ((2)(-18)•(5)(-18))
    100                          5 

Step  4  :

            651
 Simplify   ———
            100

Equation at the end of step  4  :

    651                          39
  ((——— • ((2)(-11)•(5)(-11))) • ——) • ((2)(-18)•(5)(-18))
    100                          5 

Step  5  :

Multiplying exponents :

 5.1    2²  multiplied by  2¹¹   = 2^{(2 + 11)} = 2¹³

Multiplying exponents :

 5.2    5²  multiplied by  5¹¹   = 5^{(2 + 11)} = 5¹³

Equation at the end of step  5  :

      651      39
  (————————— • ——) • ((2)(-18)•(5)(-18))
   (213•513)    5 

Step  6  :

Multiplying exponents :

 6.1    5¹³  multiplied by  5¹   = 5^{(13 + 1)} = 5¹⁴

Equation at the end of step  6  :

  (32•7•13•31)
  ———————————— • ((2)(-18)•(5)(-18))
   (213•514)   

Step  7  :

Multiplying exponents :

 7.1    2¹³  multiplied by  2¹⁸   = 2^{(13 + 18)} = 2³¹

Multiplying exponents :

 7.2    5¹⁴  multiplied by  5¹⁸   = 5^{(14 + 18)} = 5³²

Final result :

  (32•7•13•31)                                   
  ———————————— = 5.07780 • 10-28 
   (231•532)