Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.2" was replaced by "(12/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁸⁹ = (2•5)⁸⁹ = 2⁸⁹ • 5⁸⁹

Equation at the end of step  1  :

  12
  —— • (289•589)
  10

Step  2  :

            6
 Simplify   —
            5

Equation at the end of step  2  :

  6
  — • (289•589)
  5

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2⁸⁹   = 2^{(1 + 89)} = 2⁹⁰

Dividing exponents :

 3.2    5⁸⁹   divided by   5¹   = 5^{(89 - 1)} = 5⁸⁸

Final result :

  (290•3•588)