Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.28" was replaced by "(128/100)".

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

  128
  ——— • (25•55)
  100

Step  2  :

            32
 Simplify   ——
            25

Equation at the end of step  2  :

  32
  —— • (25•55)
  25

Step  3  :

Multiplying exponents :

 3.1    2⁵  multiplied by  2⁵   = 2^{(5 + 5)} = 2¹⁰

Dividing exponents :

 3.2    5⁵   divided by   5²   = 5^{(5 - 2)} = 5³

Final result :

  (210•53)