Solution - Simplification or other simple results

Step  1  :

            3
 Simplify   —
            5

Equation at the end of step  1  :

   5        3
  —— ÷ 4 ÷ (—)2)
  63        5

Step  2  :

Equation at the end of step  2  :

   5       32
  —— ÷ 4 ÷ ——
  63       52

Step  3  :

             5
 Simplify   ——
            63

Equation at the end of step  3  :

   5       32
  —— ÷ 4 ÷ ——
  63       52

Step  4  :

          5      
 Divide  ——  by  4
         63      

Equation at the end of step  4  :

   5    32
  ——— ÷ ——
  252   52

Step  5  :

          5       32
 Divide  ———  by  ——
         252      52

 5.1    Dividing fractions

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

 5      32        5      52
———  ÷  ——   =   ———  •  ——
252     52       252     32

Multiplying exponents :

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

Multiplying exponents :

 5.3    3²  multiplied by  3²   = 3^{(2 + 2)} = 3⁴

Final result :

   125           
  ———— = 0.05511 
  2268