Solution - Power equations

Step  1  :

 1.1     6 = 2•3

(6)²⁵ = (2•3)²⁵ = 2²⁵ • 3²⁵

Equation at the end of step  1  :

         5
  0 -  ((— • (225•325)) • 610)
         9

Step  2  :

            5
 Simplify   —
            9

Equation at the end of step  2  :

         5
  0 -  ((— • (225•325)) • 610)
         9

Step  3  :

Dividing exponents :

 3.1    3²⁵   divided by   3²   = 3^{(25 - 2)} = 3²³

Equation at the end of step  3  :

  0 -  ((5•225•323) • 610)

Step  4  :

Multiplying exponents :

 4.1    5¹  multiplied by  5¹   = 5^{(1 + 1)} = 5²

Multiplying exponents :

 4.2    2²⁵  multiplied by  2¹   = 2^{(25 + 1)} = 2²⁶

Equation at the end of step  4  :

  0 -  (52•226•323•61)

Step  5  :

Final result :

  ( -52•226•323•61)