Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.35" was replaced by "(735/100)".

Step  1  :

 1.1     10 = 2•5

(10)²² = (2•5)²² = 2²² • 5²²

Equation at the end of step  1  :

   735
  (——— • (222•522)) • 81
   100

Step  2  :

            147
 Simplify   ———
            20 

Equation at the end of step  2  :

   147
  (——— • (222•522)) • 81
   20 

Step  3  :

Dividing exponents :

 3.1    2²²   divided by   2²   = 2^{(22 - 2)} = 2²⁰

Dividing exponents :

 3.2    5²²   divided by   5¹   = 5^{(22 - 1)} = 5²¹

Equation at the end of step  3  :

  (3•72•220•521) • 81

Step  4  :

Multiplying exponents :

 4.1    3¹  multiplied by  3⁴   = 3^{(1 + 4)} = 3⁵

Final result :

  (35•72•220•521)