Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-10" was replaced by "^(-10)".

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

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  625
  ——— • ((2)(-10)•(5)(-10))
  100

Step  2  :

            25
 Simplify   ——
            4 

Equation at the end of step  2  :

  25
  —— • ((2)(-10)•(5)(-10))
  4 

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2¹⁰   = 2^{(2 + 10)} = 2¹²

Dividing exponents :

 3.2    5²   divided by   5¹⁰   = 5^{(2 - 10)} = 5^(-8) = ¹/_5⁸

Final result :

      1                                      
  ———————— = 6.25000 • 10-10 
  (212•58)