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)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

  64
  —— • (23•53)
  10

Step  2  :

            32
 Simplify   ——
            5 

Equation at the end of step  2  :

  32
  —— • (23•53)
  5 

Step  3  :

Multiplying exponents :

 3.1    2⁵  multiplied by  2³   = 2^{(5 + 3)} = 2⁸

Dividing exponents :

 3.2    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Final result :

  6400