Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "9.92" was replaced by "(992/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  992
  ——— • ((2)(-16)•(5)(-16))
  100

Step  2  :

            248
 Simplify   ———
            25 

Equation at the end of step  2  :

  248
  ——— • ((2)(-16)•(5)(-16))
  25 

Step  3  :

Multiplying exponents :

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

Dividing exponents :

 3.2    2³   divided by   2¹⁶   = 2^{(3 - 16)} = 2^(-13) = ¹/_2¹³

Final result :

      31                                      
  ————————— = 9.92000 • 10-16 
  (518•213)