Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.25" was replaced by "(125/100)".

Step  1  :

 1.1     10 = 2•5

(10)¹² = (2•5)¹² = 2¹² • 5¹²

Equation at the end of step  1  :

  125
  ——— • (212•512)
  100

Step  2  :

            5
 Simplify   —
            4

Equation at the end of step  2  :

  5
  — • (212•512)
  4

Step  3  :

Multiplying exponents :

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

Dividing exponents :

 3.2    2¹²   divided by   2²   = 2^{(12 - 2)} = 2¹⁰

Final result :

  (513•210)