Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "1.44" was replaced by "(144/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  144
  ——— • ((2)(-16)•(5)(-16))
  100

Step  2  :

            36
 Simplify   ——
            25

Equation at the end of step  2  :

  36
  —— • ((2)(-16)•(5)(-16))
  25

Step  3  :

Multiplying exponents :

 3.1    5²  multiplied by  5¹⁶   = 5^{(2 + 16)} = 5¹⁸

Dividing exponents :

 3.2    2²   divided by   2¹⁶   = 2^{(2 - 16)} = 2^(-14) = ¹/_2¹⁴

Final result :

      9                                       
  ————————— = 1.44000 • 10-16 
  (518•214)