Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.25" was replaced by "(625/100)".

Step  1  :

 1.1     10 = 2•5

(10)²⁵ = (2•5)²⁵ = 2²⁵ • 5²⁵

Equation at the end of step  1  :

  625
  ——— • (225•525)
  100

Step  2  :

            25
 Simplify   ——
            4 

Equation at the end of step  2  :

  25
  —— • (225•525)
  4 

Step  3  :

Multiplying exponents :

 3.1    5²  multiplied by  5²⁵   = 5^{(2 + 25)} = 5²⁷

Dividing exponents :

 3.2    2²⁵   divided by   2²   = 2^{(25 - 2)} = 2²³

Final result :

  (527•223)