Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.6978" was replaced by "(46978/10000)".

Step  1  :

 1.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  1  :

  46978
  ————— • (24•54)
  10000

Step  2  :

            23489
 Simplify   —————
            5000 

Equation at the end of step  2  :

  23489
  ————— • (24•54)
  5000 

Step  3  :

Dividing exponents :

 3.1    2⁴   divided by   2³   = 2^{(4 - 3)} = 2¹ = 2

Canceling Out :

 3.2      Canceling out  5⁴ as it appears on both sides of the fraction line

Final result :

  (83•283•2)