Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-9" was replaced by "^(-9)".

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

Step  1  :

 1.1     10 = 2•5

(10)^-9 = (2•5)^(-9) = (2)^(-9) • (5)^(-9)

Equation at the end of step  1  :

  2512
  ———— • ((2)(-9)•(5)(-9))
  1000

Step  2  :

            314
 Simplify   ———
            125

Equation at the end of step  2  :

  314
  ——— • ((2)(-9)•(5)(-9))
  125

Step  3  :

Multiplying exponents :

 3.1    5³  multiplied by  5⁹   = 5^{(3 + 9)} = 5¹²

Dividing exponents :

 3.2    2¹   divided by   2⁹   = 2^{(1 - 9)} = 2^(-8) = ¹/_2⁸

Final result :

     157                                    
  ———————— = 2.51200 • 10-9 
  (512•28)