Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.78" was replaced by "(378/100)".

Step  1  :

 1.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  1  :

  378
  ——— • (24•54)
  100

Step  2  :

            189
 Simplify   ———
            50 

Equation at the end of step  2  :

  189
  ——— • (24•54)
  50 

Step  3  :

Dividing exponents :

 3.1    2⁴   divided by   2¹   = 2^{(4 - 1)} = 2³

Dividing exponents :

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

Final result :

  (33•7•23•52)