Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-1" was replaced by "^(-1)". 1 more similar replacement(s)

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

Step  1  :

 1.1     10 = 2•5

(10)^-1 = (2•5)^(-1) = (2)^(-1) • (5)^(-1)

Equation at the end of step  1  :

   16
  (—— • (10-2)) • (4 • ((2)(-1)•(5)(-1)))
   10

Step  2  :

Raising to a Power :

 2.1    2²   divided by   2¹   = 2^{(2 - 1)} = 2¹ = 2

Equation at the end of step  2  :

   16             2
  (—— • (10-2)) • —
   10             5

Step  3  :

 3.1     10 = 2•5

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

Equation at the end of step  3  :

   16                        2
  (—— • ((2)(-2)•(5)(-2))) • —
   10                        5

Step  4  :

            8
 Simplify   —
            5

Equation at the end of step  4  :

   8                        2
  (— • ((2)(-2)•(5)(-2))) • —
   5                        5

Step  5  :

Multiplying exponents :

 5.1    5¹  multiplied by  5²   = 5^{(1 + 2)} = 5³

Dividing exponents :

 5.2    2³   divided by   2²   = 2^{(3 - 2)} = 2¹ = 2

Equation at the end of step  5  :

   2    2
  ——— • —
  125   5

Step  6  :

Final result :

   4            
  ——— = 0.00640 
  625