Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-4" was replaced by "^(-4)".

(2): "3.71" was replaced by "(371/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-4 = (2•5)^(-4) = (2)^(-4) • (5)^(-4)

Equation at the end of step  1  :

   371
  (——— • 10) • (5 • ((2)(-4)•(5)(-4)))
   100

Step  2  :

Dividing exponents :

 2.1    5¹   divided by   5⁴   = 5^{(1 - 4)} = 5^(-3) = ¹/_5³

Equation at the end of step  2  :

   371           1 
  (——— • 10) • ————
   100         2000

Step  3  :

            371
 Simplify   ———
            100

Equation at the end of step  3  :

   371           1 
  (——— • 10) • ————
   100         2000

Step  4  :

Final result :

   371            
  ————— = 0.01855 
  20000