Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.4" was replaced by "(24/10)".

Step  1  :

 1.1     10 = 2•5

(10)¹² = (2•5)¹² = 2¹² • 5¹²

Equation at the end of step  1  :

  24
  —— • (212•512)
  10

Step  2  :

            12
 Simplify   ——
            5 

Equation at the end of step  2  :

  12
  —— • (212•512)
  5 

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2¹²   = 2^{(2 + 12)} = 2¹⁴

Dividing exponents :

 3.2    5¹²   divided by   5¹   = 5^{(12 - 1)} = 5¹¹

Final result :

  (214•3•511)