Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "6.4" was replaced by "(64/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  64
  —— • ((2)(-7)•(5)(-7))
  10

Step  2  :

            32
 Simplify   ——
            5 

Equation at the end of step  2  :

  32
  —— • ((2)(-7)•(5)(-7))
  5 

Step  3  :

Multiplying exponents :

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

Dividing exponents :

 3.2    2⁵   divided by   2⁷   = 2^{(5 - 7)} = 2^(-2) = ¹/_2²

Final result :

     1                                     
  ——————— = 6.40000 • 10-7 
  (58•22)