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): "1.2" was replaced by "(12/10)". 3 more similar replacement(s)

Step  1  :

            6
 Simplify   —
            5

Equation at the end of step  1  :

    15 52         6
  ((——•——)•(10-2))—
    10 10         5

Step  2  :

 2.1     10 = 2•5

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

Equation at the end of step  2  :

    15   52                         6
  ((—— • ——) • ((2)(-2)•(5)(-2))) ÷ —
    10   10                         5

Step  3  :

            26
 Simplify   ——
            5 

Equation at the end of step  3  :

    15   26                         6
  ((—— • ——) • ((2)(-2)•(5)(-2))) ÷ —
    10   5                          5

Step  4  :

            3
 Simplify   —
            2

Equation at the end of step  4  :

  3   26                         6
  — • ——) • ((2)(-2)•(5)(-2))) ÷ —
  2   5                          5

Step  5  :

Multiplying exponents :

 5.1    5¹  multiplied by  5²   = 5^{(1 + 2)} = 5³

Equation at the end of step  5  :

   39   6
  ——— ÷ —
  500   5

Step  6  :

          39      6
 Divide  ———  by  —
         500      5

 6.1    Dividing fractions

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

 39     6        39     5
———  ÷  —   =   ———  •  —
500     5       500     6

Final result :

   13           
  ——— = 0.06500 
  200