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)".

(2): "2.8" was replaced by "(28/10)". 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  :

  49642   28
  ————— ÷ —— • ((2)(-2)•(5)(-2))
   100    10

Step  2  :

            14
 Simplify   ——
            5 

Equation at the end of step  2  :

  49642   14
  ————— ÷ —— • ((2)(-2)•(5)(-2))
   100    5 

Step  3  :

            24821
 Simplify   —————
             50  

Equation at the end of step  3  :

  24821   14
  ————— ÷ —— • ((2)(-2)•(5)(-2))
   50     5 

Step  4  :

         24821      14
 Divide  —————  by  ——
          50        5 

 4.1    Dividing fractions

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

24821     14       24821      5
—————  ÷  ——   =   —————  •  ——
 50       5         50       14

Equation at the end of step  4  :

  24821
  ————— • ((2)(-2)•(5)(-2))
   140 

Step  5  :

Multiplying exponents :

 5.1    2²  multiplied by  2²   = 2^{(2 + 2)} = 2⁴

Multiplying exponents :

 5.2    5¹  multiplied by  5²   = 5^{(1 + 2)} = 5³

Final result :

    24821             
  ————————— = 1.77293 
  (24•53•7)