Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "1.008" was replaced by "(1008/1000)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  1008
  ———— • ((2)(-14)•(5)(-14))
  1000

Step  2  :

            126
 Simplify   ———
            125

Equation at the end of step  2  :

  126
  ——— • ((2)(-14)•(5)(-14))
  125

Step  3  :

Multiplying exponents :

 3.1    5³  multiplied by  5¹⁴   = 5^{(3 + 14)} = 5¹⁷

Dividing exponents :

 3.2    2¹   divided by   2¹⁴   = 2^{(1 - 14)} = 2^(-13) = ¹/_2¹³

Final result :

      63                                      
  ————————— = 1.00800 • 10-14 
  (517•213)