Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-9" was replaced by "^(-9)".

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

Step  1  :

 1.1     10 = 2•5

(10)^-9 = (2•5)^(-9) = (2)^(-9) • (5)^(-9)

Equation at the end of step  1  :

  16
  —— • ((2)(-9)•(5)(-9))
  10

Step  2  :

            8
 Simplify   —
            5

Equation at the end of step  2  :

  8
  — • ((2)(-9)•(5)(-9))
  5

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5⁹   = 5^{(1 + 9)} = 5¹⁰

Dividing exponents :

 3.2    2³   divided by   2⁹   = 2^{(3 - 9)} = 2^(-6) = ¹/_2⁶

Final result :

      1                                     
  ———————— = 1.60000 • 10-9 
  (510•26)