Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.5" was replaced by "(25/10)".

Step  1  :

 1.1     10 = 2•5

(10)¹² = (2•5)¹² = 2¹² • 5¹²

Equation at the end of step  1  :

  25
  —— • (212•512)
  10

Step  2  :

            5
 Simplify   —
            2

Equation at the end of step  2  :

  5
  — • (212•512)
  2

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5¹²   = 5^{(1 + 12)} = 5¹³

Dividing exponents :

 3.2    2¹²   divided by   2¹   = 2^{(12 - 1)} = 2¹¹

Final result :

  (513•211)