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)¹⁴ = (2•5)¹⁴ = 2¹⁴ • 5¹⁴

Equation at the end of step  1  :

  64
  —— • (214•514)
  10

Step  2  :

            32
 Simplify   ——
            5 

Equation at the end of step  2  :

  32
  —— • (214•514)
  5 

Step  3  :

Multiplying exponents :

 3.1    2⁵  multiplied by  2¹⁴   = 2^{(5 + 14)} = 2¹⁹

Dividing exponents :

 3.2    5¹⁴   divided by   5¹   = 5^{(14 - 1)} = 5¹³

Final result :

  (219•513)