Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-03" was replaced by "^(-03)".

(2): "2.5" was replaced by "(25/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  25
  —— • ((2)(-3)•(5)(-3))
  10

Step  2  :

            5
 Simplify   —
            2

Equation at the end of step  2  :

  5
  — • ((2)(-3)•(5)(-3))
  2

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2³   = 2^{(1 + 3)} = 2⁴

Dividing exponents :

 3.2    5¹   divided by   5³   = 5^{(1 - 3)} = 5^(-2) = ¹/_5²

Final result :

   1            
  ——— = 0.00250 
  400