Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.9" was replaced by "(89/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

   89
  (—— • (25•55))3
   10

Step  2  :

            89
 Simplify   ——
            10

Equation at the end of step  2  :

   89
  (—— • (25•55))3
   10

Step  3  :

Dividing exponents :

 3.1    2⁵   divided by   2¹   = 2^{(5 - 1)} = 2⁴

Dividing exponents :

 3.2    5⁵   divided by   5¹   = 5^{(5 - 1)} = 5⁴

Equation at the end of step  3  :

  (89•24•54)3

Step  4  :

Final result :

  (893•212•512)