Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-15" was replaced by "^(-15)".

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

Step  1  :

 1.1     10 = 2•5

(10)^-15 = (2•5)^(-15) = (2)^(-15) • (5)^(-15)

Equation at the end of step  1  :

  16
  —— • ((2)(-15)•(5)(-15))
  10

Step  2  :

            8
 Simplify   —
            5

Equation at the end of step  2  :

  8
  — • ((2)(-15)•(5)(-15))
  5

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5¹⁵   = 5^{(1 + 15)} = 5¹⁶

Dividing exponents :

 3.2    2³   divided by   2¹⁵   = 2^{(3 - 15)} = 2^(-12) = ¹/_2¹²

Final result :

      1                                       
  ————————— = 1.60000 • 10-15 
  (516•212)