Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

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

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  64
  —— • ((2)(-10)•(5)(-10))
  10

Step  2  :

            32
 Simplify   ——
            5 

Equation at the end of step  2  :

  32
  —— • ((2)(-10)•(5)(-10))
  5 

Step  3  :

Multiplying exponents :

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

Dividing exponents :

 3.2    2⁵   divided by   2¹⁰   = 2^{(5 - 10)} = 2^(-5) = ¹/_2⁵

Final result :

      1                                      
  ———————— = 6.40000 • 10-10 
  (511•25)