Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "3.14159" was replaced by "(314159/100000)".

Step  1  :

            314159
 Simplify   ——————
            100000

Equation at the end of step  1  :

                 314159
  (4 • (10-7)) • ——————
                 100000

Step  2  :

 2.1     10 = 2•5

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

Equation at the end of step  2  :

                            314159
  (4 • ((2)(-7)•(5)(-7))) • ——————
                            100000

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      314159
  ——————— • ——————
  (25•57)   100000

Step  4  :

Multiplying exponents :

 4.1    2⁵  multiplied by  2⁵   = 2^{(5 + 5)} = 2¹⁰

Multiplying exponents :

 4.2    5⁷  multiplied by  5⁵   = 5^{(7 + 5)} = 5¹²

Final result :

    314159                                   
  ————————— = 1.25664 • 10-6 
  (210•512)