Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-13" was replaced by "^(-13)".

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

Step  1  :

 1.1     10 = 2•5

(10)^-13 = (2•5)^(-13) = (2)^(-13) • (5)^(-13)

Equation at the end of step  1  :

  625
  ——— • ((2)(-13)•(5)(-13))
  100

Step  2  :

            25
 Simplify   ——
            4 

Equation at the end of step  2  :

  25
  —— • ((2)(-13)•(5)(-13))
  4 

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2¹³   = 2^{(2 + 13)} = 2¹⁵

Dividing exponents :

 3.2    5²   divided by   5¹³   = 5^{(2 - 13)} = 5^(-11) = ¹/_5¹¹

Final result :

      1                                       
  ————————— = 6.25000 • 10-13 
  (215•511)