Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-16" was replaced by "^(-16)".

(2): "3.2" was replaced by "(32/10)".

Step  1  :

 1.1     10 = 2•5

(10)^-16 = (2•5)^(-16) = (2)^(-16) • (5)^(-16)

Equation at the end of step  1  :

  32
  —— • ((2)(-16)•(5)(-16))
  10

Step  2  :

            16
 Simplify   ——
            5 

Equation at the end of step  2  :

  16
  —— • ((2)(-16)•(5)(-16))
  5 

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5¹⁶   = 5^{(1 + 16)} = 5¹⁷

Dividing exponents :

 3.2    2⁴   divided by   2¹⁶   = 2^{(4 - 16)} = 2^(-12) = ¹/_2¹²

Final result :

      1                                       
  ————————— = 3.20000 • 10-16 
  (517•212)