Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.4" was replaced by "(64/10)".

Step  1  :

 1.1     10 = 2•5

(10)¹³ = (2•5)¹³ = 2¹³ • 5¹³

Equation at the end of step  1  :

  64
  —— • (213•513)
  10

Step  2  :

            32
 Simplify   ——
            5 

Equation at the end of step  2  :

  32
  —— • (213•513)
  5 

Step  3  :

Multiplying exponents :

 3.1    2⁵  multiplied by  2¹³   = 2^{(5 + 13)} = 2¹⁸

Dividing exponents :

 3.2    5¹³   divided by   5¹   = 5^{(13 - 1)} = 5¹²

Final result :

  (218•512)