Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "3.9" was replaced by "(39/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   39
  (—— • ((2)(-10)•(5)(-10))) • 8
   10

Step  2  :

            39
 Simplify   ——
            10

Equation at the end of step  2  :

   39
  (—— • ((2)(-10)•(5)(-10))) • 8
   10

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2¹⁰   = 2^{(1 + 10)} = 2¹¹

Multiplying exponents :

 3.2    5¹  multiplied by  5¹⁰   = 5^{(1 + 10)} = 5¹¹

Equation at the end of step  3  :

      39   
  ————————— • 8
  (211•511) 

Step  4  :

Dividing exponents :

 4.1    2³   divided by   2¹¹   = 2^{(3 - 11)} = 2^(-8) = ¹/_2⁸

Final result :

     39                                     
  ———————— = 3.12000 • 10-9 
  (28•511)