Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "9.68" was replaced by "(968/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  968
  ——— • ((2)(-10)•(5)(-10))
  100

Step  2  :

            242
 Simplify   ———
            25 

Equation at the end of step  2  :

  242
  ——— • ((2)(-10)•(5)(-10))
  25 

Step  3  :

Multiplying exponents :

 3.1    5²  multiplied by  5¹⁰   = 5^{(2 + 10)} = 5¹²

Dividing exponents :

 3.2    2¹   divided by   2¹⁰   = 2^{(1 - 10)} = 2^(-9) = ¹/_2⁹

Final result :

     121                                     
  ———————— = 9.68000 • 10-10 
  (512•29)