Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "4." was replaced by "(4/1)".

Step  1  :

 1.1     10 = 2•5

(10)^-7 = (2•5)^(-7) = (2)^(-7) • (5)^(-7)

Equation at the end of step  1  :

   4
  (— • ((2)(-7)•(5)(-7)))3
   1

Step  2  :

            4
 Simplify   —
            1

Equation at the end of step  2  :

  (4 • ((2)(-7)•(5)(-7)))3

Step  3  :

Dividing exponents :

 3.1    2²   divided by   2⁷   = 2^{(2 - 7)} = 2^(-5) = ¹/_2⁵

Equation at the end of step  3  :

     1   
 (———————)3
  (25•57)

Step  4  :

Final result :

      1                                       
  ————————— = 6.40000 • 10-20 
  (215•521)