Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "1.28" was replaced by "(128/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  128
  ——— • ((2)(-4)•(5)(-4))
  100

Step  2  :

            32
 Simplify   ——
            25

Equation at the end of step  2  :

  32
  —— • ((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

Final result :

   2           
  —— = 0.00013 
  56