Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "1.6" was replaced by "(16/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  16
  —— • ((2)(-2)•(5)(-2))
  10

Step  2  :

            8
 Simplify   —
            5

Equation at the end of step  2  :

  8
  — • ((2)(-2)•(5)(-2))
  5

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5²   = 5^{(1 + 2)} = 5³

Dividing exponents :

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

Final result :

   2            
  ——— = 0.01600 
  125