Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-15" was replaced by "^(-15)".

(2): "9.46" was replaced by "(946/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-15 = (2•5)^(-15) = (2)^(-15) • (5)^(-15)

Equation at the end of step  1  :

  946
  ——— • ((2)(-15)•(5)(-15))
  100

Step  2  :

            473
 Simplify   ———
            50 

Equation at the end of step  2  :

  473
  ——— • ((2)(-15)•(5)(-15))
  50 

Step  3  :

                473
 Divide  1  by  ———
                50 

Equation at the end of step  3  :

   50
  ——— • ((2)(-15)•(5)(-15))
  473

Step  4  :

Dividing exponents :

 4.1    2¹   divided by   2¹⁵   = 2^{(1 - 15)} = 2^(-14) = ¹/_2¹⁴

Dividing exponents :

 4.2    5²   divided by   5¹⁵   = 5^{(2 - 15)} = 5^(-13) = ¹/_5¹³

Final result :

         1                                          
  ——————————————— = 1.05708 • 10-16 
  (11•43•214•513)