Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-10" was replaced by "^(-10)".

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

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  16
  —— • ((2)(-10)•(5)(-10))
  10

Step  2  :

            8
 Simplify   —
            5

Equation at the end of step  2  :

  8
  — • ((2)(-10)•(5)(-10))
  5

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5¹⁰   = 5^{(1 + 10)} = 5¹¹

Dividing exponents :

 3.2    2³   divided by   2¹⁰   = 2^{(3 - 10)} = 2^(-7) = ¹/_2⁷

Final result :

      1                                      
  ———————— = 1.60000 • 10-10 
  (511•27)