Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "1.25" was replaced by "(125/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  125
  ——— • ((2)(-3)•(5)(-3))
  100

Step  2  :

            5
 Simplify   —
            4

Equation at the end of step  2  :

  5
  — • ((2)(-3)•(5)(-3))
  4

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2³   = 2^{(2 + 3)} = 2⁵

Dividing exponents :

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

Final result :

   1            
  ——— = 0.00125 
  800