Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.36" was replaced by "(136/100)".

Step  1  :

 1.1     10 = 2•5

(10)²² = (2•5)²² = 2²² • 5²²

Equation at the end of step  1  :

  136
  ——— • (222•522)
  100

Step  2  :

            34
 Simplify   ——
            25

Equation at the end of step  2  :

  34
  —— • (222•522)
  25

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2²²   = 2^{(1 + 22)} = 2²³

Dividing exponents :

 3.2    5²²   divided by   5²   = 5^{(22 - 2)} = 5²⁰

Final result :

  (223•17•520)