Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  70 • (6 • ((2)(-14)•(5)(-14)))

Step  2  :

Dividing exponents :

 2.1    2¹   divided by   2¹⁴   = 2^{(1 - 14)} = 2^(-13) = ¹/_2¹³

Equation at the end of step  2  :

           3    
  70 • —————————
       (213•514) 

Step  3  :

Dividing exponents :

 3.1    2¹   divided by   2¹³   = 2^{(1 - 13)} = 2^(-12) = ¹/_2¹²

Dividing exponents :

 3.2    5¹   divided by   5¹⁴   = 5^{(1 - 14)} = 5^(-13) = ¹/_5¹³

Final result :

      21                                      
  ————————— = 4.20000 • 10-12 
  (212•513)