Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)".

(2): "0.32" was replaced by "(32/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   32
  ——— • ((2)(-2)•(5)(-2))
  100

Step  2  :

             8
 Simplify   ——
            25

Equation at the end of step  2  :

   8
  —— • ((2)(-2)•(5)(-2))
  25

Step  3  :

Multiplying exponents :

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

Dividing exponents :

 3.2    2³   divided by   2²   = 2^{(3 - 2)} = 2¹ = 2

Final result :

   2            
  ——— = 0.00320 
  625