Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-7" was replaced by "^(-7)".

(2): ".66" was replaced by "(66/100)".

Step  1  :

            33
 Simplify   ——
            50

Equation at the end of step  1  :

           33
  (60-7) • ——
           50

Step  2  :

 2.1     60 = 22•3•5

(60)^-7 = (2²•3•5)^(-7) = (2)^(-14) • (3)^(-7) • (5)^(-7)

Equation at the end of step  2  :

                               33
  ((2)(-14)•(3)(-7)•(5)(-7)) • ——
                               50

Step  3  :

Multiplying exponents :

 3.1    2¹⁴  multiplied by  2¹   = 2^{(14 + 1)} = 2¹⁵

Multiplying exponents :

 3.2    5⁷  multiplied by  5²   = 5^{(7 + 2)} = 5⁹

Dividing exponents :

 3.3    3¹   divided by   3⁷   = 3^{(1 - 7)} = 3^(-6) = ¹/_3⁶

Final result :

       11                                       
  ——————————— = 2.35768 • 10-13 
  (215•36•59)