Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): ".948" was replaced by "(948/1000)".

Step  1  :

            237
 Simplify   ———
            250

Equation at the end of step  1  :

            237
  (150-7) • ———
            250

Step  2  :

 2.1     150 = 2•3•52

(150)^-7 = (2•3•5²)^(-7) = (2)^(-7) • (3)^(-7) • (5)^(-14)

Equation at the end of step  2  :

                               237
  ((2)(-7)•(3)(-7)•(5)(-14)) • ———
                               250

Step  3  :

Multiplying exponents :

 3.1    2⁷  multiplied by  2¹   = 2^{(7 + 1)} = 2⁸

Multiplying exponents :

 3.2    5¹⁴  multiplied by  5³   = 5^{(14 + 3)} = 5¹⁷

Dividing exponents :

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

Final result :

       79                                       
  ——————————— = 5.54842 • 10-16 
  (28•36•517)