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 "(4/10)".

Step  1  :

            2
 Simplify   —
            5

Equation at the end of step  1  :

           2
  (10-7) • —
           5

Step  2  :

 2.1     10 = 2•5

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

Equation at the end of step  2  :

                      2
  ((2)(-7)•(5)(-7)) • —
                      5

Step  3  :

Multiplying exponents :

 3.1    5⁷  multiplied by  5¹   = 5^{(7 + 1)} = 5⁸

Dividing exponents :

 3.2    2¹   divided by   2⁷   = 2^{(1 - 7)} = 2^(-6) = ¹/_2⁶

Final result :

     1                                     
  ——————— = 4.00000 • 10-8 
  (26•58)