Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9.678" was replaced by "(9678/1000)".

Step  1  :

 1.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  1  :

  9678
  ———— • (24•54)
  1000

Step  2  :

            4839
 Simplify   ————
            500 

Equation at the end of step  2  :

  4839
  ———— • (24•54)
  500 

Step  3  :

Dividing exponents :

 3.1    2⁴   divided by   2²   = 2^{(4 - 2)} = 2²

Dividing exponents :

 3.2    5⁴   divided by   5³   = 5^{(4 - 3)} = 5¹ = 5

Final result :

  (3•1613•22•5)