Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-3" was replaced by "^(-3)".

(2): "4.08" was replaced by "(408/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-3 = (2•5)^(-3) = (2)^(-3) • (5)^(-3)

Equation at the end of step  1  :

        408
  0 -  (——— • ((2)(-3)•(5)(-3)))
        100

Step  2  :

            102
 Simplify   ———
            25 

Equation at the end of step  2  :

        102
  0 -  (——— • ((2)(-3)•(5)(-3)))
        25 

Step  3  :

Multiplying exponents :

 3.1    5²  multiplied by  5³   = 5^{(2 + 3)} = 5⁵

Dividing exponents :

 3.2    2¹   divided by   2³   = 2^{(1 - 3)} = 2^(-2) = ¹/_2²

Equation at the end of step  3  :

          51  
  0 -  ———————
       (55•22)

Step  4  :

Final result :

    -51              
  ——————— = -0.00408 
  (55•22)