Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "7.5" was replaced by "(75/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  75
  —— • ((2)(-7)•(5)(-7))
  10

Step  2  :

            15
 Simplify   ——
            2 

Equation at the end of step  2  :

  15
  —— • ((2)(-7)•(5)(-7))
  2 

Step  3  :

Multiplying exponents :

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

Dividing exponents :

 3.2    5¹   divided by   5⁷   = 5^{(1 - 7)} = 5^(-6) = ¹/_5⁶

Final result :

     3                                     
  ——————— = 7.50000 • 10-7 
  (28•56)