Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "6.25" was replaced by "(625/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  625
  ——— • ((2)(-7)•(5)(-7))
  100

Step  2  :

            25
 Simplify   ——
            4 

Equation at the end of step  2  :

  25
  —— • ((2)(-7)•(5)(-7))
  4 

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2⁷   = 2^{(2 + 7)} = 2⁹

Dividing exponents :

 3.2    5²   divided by   5⁷   = 5^{(2 - 7)} = 5^(-5) = ¹/_5⁵

Final result :

     1                                     
  ——————— = 6.25000 • 10-7 
  (29•55)