Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-5" was replaced by "^(-5)".

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

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  16
  —— • ((2)(-5)•(5)(-5))
  10

Step  2  :

            8
 Simplify   —
            5

Equation at the end of step  2  :

  8
  — • ((2)(-5)•(5)(-5))
  5

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5⁵   = 5^{(1 + 5)} = 5⁶

Dividing exponents :

 3.2    2³   divided by   2⁵   = 2^{(3 - 5)} = 2^(-2) = ¹/_2²

Final result :

     1              
  ——————— = 0.00002 
  (56•22)