Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.91" was replaced by "(191/100)". 2 more similar replacement(s)

Step  1  :

            191
 Simplify   ———
            100

Equation at the end of step  1  :

   754             191
  (——— • (1021)) ÷ ———
   100             100

Step  2  :

 2.1     10 = 2•5

(10)²¹ = (2•5)²¹ = 2²¹ • 5²¹

Equation at the end of step  2  :

   754                191
  (——— • (221•521)) ÷ ———
   100                100

Step  3  :

            377
 Simplify   ———
            50 

Equation at the end of step  3  :

  377                191
  ——— • (221•521)) ÷ ———
  50                 100

Step  4  :

Dividing exponents :

 4.1    2²¹   divided by   2¹   = 2^{(21 - 1)} = 2²⁰

Dividing exponents :

 4.2    5²¹   divided by   5²   = 5^{(21 - 2)} = 5¹⁹

Equation at the end of step  4  :

  191
  ———
  100

Step  5  :

                              191
 Divide  (13•29•220•519)  by  ———
                              100

Multiplying exponents :

 5.1    2²⁰  multiplied by  2²   = 2^{(20 + 2)} = 2²²

Multiplying exponents :

 5.2    5¹⁹  multiplied by  5²   = 5^{(19 + 2)} = 5²¹

Final result :

  (13•29•222•521)                                   
  ——————————————— = 3.94764 • 1021 
        191