Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-20" was replaced by "^(-20)".

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

Step  1  :

 1.1     10 = 2•5

(10)^-20 = (2•5)^(-20) = (2)^(-20) • (5)^(-20)

Equation at the end of step  1  :

  64
  —— • ((2)(-20)•(5)(-20))
  10

Step  2  :

            32
 Simplify   ——
            5 

Equation at the end of step  2  :

  32
  —— • ((2)(-20)•(5)(-20))
  5 

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5²⁰   = 5^{(1 + 20)} = 5²¹

Dividing exponents :

 3.2    2⁵   divided by   2²⁰   = 2^{(5 - 20)} = 2^(-15) = ¹/_2¹⁵

Final result :

      1                                       
  ————————— = 6.40000 • 10-20 
  (521•215)