Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-11" was replaced by "^(-11)".

(2): "2.512" was replaced by "(2512/1000)".

Step  1  :

 1.1     10 = 2•5

(10)^-11 = (2•5)^(-11) = (2)^(-11) • (5)^(-11)

Equation at the end of step  1  :

  2512
  ———— • ((2)(-11)•(5)(-11))
  1000

Step  2  :

            314
 Simplify   ———
            125

Equation at the end of step  2  :

  314
  ——— • ((2)(-11)•(5)(-11))
  125

Step  3  :

Multiplying exponents :

 3.1    5³  multiplied by  5¹¹   = 5^{(3 + 11)} = 5¹⁴

Dividing exponents :

 3.2    2¹   divided by   2¹¹   = 2^{(1 - 11)} = 2^(-10) = ¹/_2¹⁰

Final result :

     157                                      
  ————————— = 2.51200 • 10-11 
  (514•210)