Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-14" was replaced by "^(-14)".

(2): "3.2" was replaced by "(32/10)".

Step  1  :

 1.1     10 = 2•5

(10)^-14 = (2•5)^(-14) = (2)^(-14) • (5)^(-14)

Equation at the end of step  1  :

   32
  (—— • ((2)(-14)•(5)(-14))) ÷ 2
   10

Step  2  :

            16
 Simplify   ——
            5 

Equation at the end of step  2  :

  16
  —— • ((2)(-14)•(5)(-14))) ÷ 2
  5 

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5¹⁴   = 5^{(1 + 14)} = 5¹⁵

Dividing exponents :

 3.2    2⁴   divided by   2¹⁴   = 2^{(4 - 14)} = 2^(-10) = ¹/_2¹⁰

Equation at the end of step  3  :

      1    
  ————————— ÷ 2
  (515•210) 

Step  4  :

             1          
 Divide  —————————  by  2
         (515•210)       

Multiplying exponents :

 4.1    2¹⁰  multiplied by  2¹   = 2^{(10 + 1)} = 2¹¹

Final result :

      1                                       
  ————————— = 1.60000 • 10-14 
  (515•211)