Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-5" was replaced by "^(-5)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

Step  2  :

 2.1     6 = 2•3

(6)^-10 = (2•3)^(-10) = (2)^(-10) • (3)^(-10)

Equation at the end of step  2  :

Step  3  :

             1          
 Divide  —————————  by  ((2)(-5)•(5)(-5))
         (210•310)       

 3.1    Dividing fractions

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

    1            1              1         (25•55)
—————————  ÷  ———————   =   —————————  •  ———————
(210•310)      (25•55)       (210•310)         1   

Dividing exponents :

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

Final result :

    3125             
  ———————— = 0.00165 
  (25•310)