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)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  1  :

       64
  2 • (—— • (24•54))
       10

Step  2  :

            32
 Simplify   ——
            5 

Equation at the end of step  2  :

       32
  2 • (—— • (24•54))
       5 

Step  3  :

Multiplying exponents :

 3.1    2⁵  multiplied by  2⁴   = 2^{(5 + 4)} = 2⁹

Dividing exponents :

 3.2    5⁴   divided by   5¹   = 5^{(4 - 1)} = 5³

Equation at the end of step  3  :

  2 • (29•53)

Step  4  :

Multiplying exponents :

 4.1    2¹  multiplied by  2⁹   = 2^{(1 + 9)} = 2¹⁰

Final result :

  (210•53)