Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "1.25" was replaced by "(125/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  125
  ——— • ((2)(-16)•(5)(-16))
  100

Step  2  :

            5
 Simplify   —
            4

Equation at the end of step  2  :

  5
  — • ((2)(-16)•(5)(-16))
  4

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2¹⁶   = 2^{(2 + 16)} = 2¹⁸

Dividing exponents :

 3.2    5¹   divided by   5¹⁶   = 5^{(1 - 16)} = 5^(-15) = ¹/_5¹⁵

Final result :

      1                                       
  ————————— = 1.25000 • 10-16 
  (218•515)