Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "6.4" was replaced by "(64/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  64
  —— • ((2)(-9)•(5)(-9))
  10

Step  2  :

            32
 Simplify   ——
            5 

Equation at the end of step  2  :

  32
  —— • ((2)(-9)•(5)(-9))
  5 

Step  3  :

Multiplying exponents :

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

Dividing exponents :

 3.2    2⁵   divided by   2⁹   = 2^{(5 - 9)} = 2^(-4) = ¹/_2⁴

Final result :

      1                                     
  ———————— = 6.40000 • 10-9 
  (510•24)