Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "3.6" was replaced by "(36/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  36
  —— • ((2)(-13)•(5)(-13))
  10

Step  2  :

            18
 Simplify   ——
            5 

Equation at the end of step  2  :

  18
  —— • ((2)(-13)•(5)(-13))
  5 

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5¹³   = 5^{(1 + 13)} = 5¹⁴

Dividing exponents :

 3.2    2¹   divided by   2¹³   = 2^{(1 - 13)} = 2^(-12) = ¹/_2¹²

Final result :

      9                                       
  ————————— = 3.60000 • 10-13 
  (514•212)