Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-12" was replaced by "^(-12)".

(2): "2.4" was replaced by "(24/10)".

Step  1  :

 1.1     10 = 2•5

(10)^-12 = (2•5)^(-12) = (2)^(-12) • (5)^(-12)

Equation at the end of step  1  :

  24
  —— • ((2)(-12)•(5)(-12))
  10

Step  2  :

            12
 Simplify   ——
            5 

Equation at the end of step  2  :

  12
  —— • ((2)(-12)•(5)(-12))
  5 

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5¹²   = 5^{(1 + 12)} = 5¹³

Dividing exponents :

 3.2    2²   divided by   2¹²   = 2^{(2 - 12)} = 2^(-10) = ¹/_2¹⁰

Final result :

      3                                       
  ————————— = 2.40000 • 10-12 
  (513•210)