Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "3.84" was replaced by "(384/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

        384
  0 -  (——— • ((2)(-4)•(5)(-4)))
        100

Step  2  :

            96
 Simplify   ——
            25

Equation at the end of step  2  :

        96
  0 -  (—— • ((2)(-4)•(5)(-4)))
        25

Step  3  :

Multiplying exponents :

 3.1    5²  multiplied by  5⁴   = 5^{(2 + 4)} = 5⁶

Dividing exponents :

 3.2    2⁵   divided by   2⁴   = 2^{(5 - 4)} = 2¹ = 2

Equation at the end of step  3  :

        6
  0 -  ——
       56

Step  4  :

Final result :

  -6            
  —— = -0.00038 
  56