Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-7" was replaced by "^(-7)".

Step  1  :

 1.1     10 = 2•5

(10)^-7 = (2•5)^(-7) = (2)^(-7) • (5)^(-7)

Equation at the end of step  1  :

  6325 • ((2)(-7)•(5)(-7))

Step  2  :

Dividing exponents :

 2.1    5²   divided by   5⁷   = 5^{(2 - 7)} = 5^(-5) = ¹/_5⁵

Final result :

    253             
  ——————— = 0.00063 
  (27•55)