Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "5.552" was replaced by "(5552/1000)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  5552
  ———— • ((2)(-13)•(5)(-13))
  1000

Step  2  :

            694
 Simplify   ———
            125

Equation at the end of step  2  :

  694
  ——— • ((2)(-13)•(5)(-13))
  125

Step  3  :

Multiplying exponents :

 3.1    5³  multiplied by  5¹³   = 5^{(3 + 13)} = 5¹⁶

Dividing exponents :

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

Final result :

     347                                      
  ————————— = 5.55200 • 10-13 
  (516•212)