Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5.12" was replaced by "(512/100)".

Step  1  :

 1.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  1  :

  512
  ——— • (24•54)
  100

Step  2  :

            128
 Simplify   ———
            25 

Equation at the end of step  2  :

  128
  ——— • (24•54)
  25 

Step  3  :

Multiplying exponents :

 3.1    2⁷  multiplied by  2⁴   = 2^{(7 + 4)} = 2¹¹

Dividing exponents :

 3.2    5⁴   divided by   5²   = 5^{(4 - 2)} = 5²

Final result :

  (211•52)