Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.6" was replaced by "(16/10)".

Step  1  :

 1.1     10 = 2•5

(10)¹³ = (2•5)¹³ = 2¹³ • 5¹³

Equation at the end of step  1  :

  16
  —— • (213•513)
  10

Step  2  :

            8
 Simplify   —
            5

Equation at the end of step  2  :

  8
  — • (213•513)
  5

Step  3  :

Multiplying exponents :

 3.1    2³  multiplied by  2¹³   = 2^{(3 + 13)} = 2¹⁶

Dividing exponents :

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

Final result :

  (216•512)