Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.4" was replaced by "(44/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁶⁹ = (2•5)⁶⁹ = 2⁶⁹ • 5⁶⁹

Equation at the end of step  1  :

  44
  —— • (269•569)
  10

Step  2  :

            22
 Simplify   ——
            5 

Equation at the end of step  2  :

  22
  —— • (269•569)
  5 

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2⁶⁹   = 2^{(1 + 69)} = 2⁷⁰

Dividing exponents :

 3.2    5⁶⁹   divided by   5¹   = 5^{(69 - 1)} = 5⁶⁸

Final result :

  (270•11•568)