Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9.6" was replaced by "(96/10)". 2 more similar replacement(s)

Step  1  :

            48
 Simplify   ——
            5 

Equation at the end of step  1  :

   4   314     48
  (— • ———) • (——)3)
   3   100     5 

Step  2  :

 2.1     48 = 24•3

(48)³ = (2⁴•3)³ = 2¹² • 3³

Equation at the end of step  2  :

   4   314    (212•33)
  (— • ———) • ————————
   3   100       53   

Step  3  :

            157
 Simplify   ———
            50 

Equation at the end of step  3  :

   4   157    (212•33)
  (— • ———) • ————————
   3   50        53   

Step  4  :

            4
 Simplify   —
            3

Equation at the end of step  4  :

   4   157    (212•33)
  (— • ———) • ————————
   3   50        53   

Step  5  :

Multiplying exponents :

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

Multiplying exponents :

 5.2    5²  multiplied by  5³   = 5^{(2 + 3)} = 5⁵

Dividing exponents :

 5.3    3³   divided by   3¹   = 3^{(3 - 1)} = 3²

Final result :

  (213•157•32)               
  ———————————— = 3704.09472 
      3125