Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.89" was replaced by "(189/100)".

Step  1  :

 1.1     10 = 2•5

(10)²⁷ = (2•5)²⁷ = 2²⁷ • 5²⁷

Equation at the end of step  1  :

  189
  ——— • (227•527)
  100

Step  2  :

            189
 Simplify   ———
            100

Equation at the end of step  2  :

  189
  ——— • (227•527)
  100

Step  3  :

Dividing exponents :

 3.1    2²⁷   divided by   2²   = 2^{(27 - 2)} = 2²⁵

Dividing exponents :

 3.2    5²⁷   divided by   5²   = 5^{(27 - 2)} = 5²⁵

Final result :

  (33•7•225•525)