Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-19" was replaced by "^(-19)".

(2): "3.2" was replaced by "(32/10)".

Step  1  :

 1.1     10 = 2•5

(10)^-19 = (2•5)^(-19) = (2)^(-19) • (5)^(-19)

Equation at the end of step  1  :

  32
  —— • ((2)(-19)•(5)(-19))
  10

Step  2  :

            16
 Simplify   ——
            5 

Equation at the end of step  2  :

  16
  —— • ((2)(-19)•(5)(-19))
  5 

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5¹⁹   = 5^{(1 + 19)} = 5²⁰

Dividing exponents :

 3.2    2⁴   divided by   2¹⁹   = 2^{(4 - 19)} = 2^(-15) = ¹/_2¹⁵

Final result :

      1                                       
  ————————— = 3.20000 • 10-19 
  (520•215)