Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-5" was replaced by "^(-5)". 1 more similar replacement(s)

Step  1  :

 1.1     6 = 2•3

(6)^-5 = (2•3)^(-5) = (2)^(-5) • (3)^(-5)

Equation at the end of step  1  :

Step  2  :

 2.1     6 = 2•3

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

Equation at the end of step  2  :

Step  3  :

            1         
 Divide  ———————  by  ((2)(-5)•(3)(-5))
         (23•33)      

 3.1    Dividing fractions

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

   1           1             1        (25•35)
———————  ÷  ———————   =   ———————  •  ———————
(23•33)     (25•35)       (23•33)        1   

Dividing exponents :

 3.2    2⁵   divided by   2³   = 2^{(5 - 3)} = 2²

Dividing exponents :

 3.3    3⁵   divided by   3³   = 3^{(5 - 3)} = 3²

Final result :

  36