Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "0.2" was replaced by "(2/10)". 2 more similar replacement(s)

Step  1  :

            1
 Simplify   —
            5

Equation at the end of step  1  :

  1   1
  — • —
  1   5

Step  2  :

 2.1     10 = 2•5

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

Equation at the end of step  2  :

  1   1
  — • —
  1   5

Step  3  :

             1          1
 Divide  —————————  by  —
         (214•514)       5

 3.1    Dividing fractions

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

    1         1           1         5
—————————  ÷  —   =   —————————  •  —
(214•514)      5       (214•514)      1

Dividing exponents :

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

Equation at the end of step  3  :

  1       1    
  — • —————————
  1   (214•513) 

Step  4  :

            1
 Simplify   —
            1

Equation at the end of step  4  :

          1    
  1 • —————————
      (214•513) 

Step  5  :

Final result :

      1                                       
  ————————— = 5.00000 • 10-14 
  (214•513)