Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-8" was replaced by "^(-8)".

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

Step  1  :

 1.1     10 = 2•5

(10)^-8 = (2•5)^(-8) = (2)^(-8) • (5)^(-8)

Equation at the end of step  1  :

  64
  —— • ((2)(-8)•(5)(-8))
  10

Step  2  :

            32
 Simplify   ——
            5 

Equation at the end of step  2  :

  32
  —— • ((2)(-8)•(5)(-8))
  5 

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5⁸   = 5^{(1 + 8)} = 5⁹

Dividing exponents :

 3.2    2⁵   divided by   2⁸   = 2^{(5 - 8)} = 2^(-3) = ¹/_2³

Final result :

     1                                     
  ——————— = 6.40000 • 10-8 
  (59•23)